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Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8

Go Math Answer Key:  HMH Go Math Answer Key for Grade K, 1, 2, 3, 4, 5, 6, 7, and 8 are provided helps students to have learning targets and achieve success at chapter and lesson level and makes learning visible.

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All the Concepts in the CCSS Go Math Answer Key for Grades Kindergarten, 1, 2, 3, 4, 5, 6, 7, 8 are given with straightforward and detailed descriptions.

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Free Download Go Math Answer Key from Kindergarten to 8th Grade

Students can find Go Math Answer Keys right from  Primary School to High School all in one place. You just need to tap on the quick links available in order to access them and learn all the Chapters in each grade. Once you tap on the quick link you will be directed to the respective Grade Solutions Key wherein you can access the complete information. You can find Solutions for all the Go Math Textbook Questions free of cost and we don’t charge any amount.

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Go Math Grade K Answer Key

• Chapter 1 Represent, Count, and Write Numbers 0 to 5
• Chapter 2 Compare Numbers to 5
• Chapter 3 Represent, Count, and Write Numbers 6 to 9
• Chapter 4 Represent and Compare Numbers to 10
• Chapter 5 Addition
• Chapter 6 Subtraction
• Chapter 7 Represent, Count, and Write 11 to 19
• Chapter 8 Represent, Count, and Write 20 and Beyond
• Chapter 9 Identify and Describe Two-Dimensional Shapes
• Chapter 10 Identify and Describe Three-Dimensional Shapes
• Chapter 11 Measurement
• Chapter 12 Classify and Sort Data
• Chapter 1 Addition Concepts
• Chapter 2 Subtraction Concepts
• Chapter 3 Addition Strategies
• Chapter 4 Subtraction Strategies
• Chapter 5 Addition and Subtraction Relationships
• Chapter 6 Count and Model Numbers
• Chapter 7 Compare Numbers
• Chapter 8 Two-Digit Addition and Subtraction
• Chapter 9 Measurement
• Chapter 10 Represent Data
• Chapter 11 Three-Dimensional Geometry
• Chapter 12 Two-Dimensional Geometry
• Chapter 1 Number Concepts
• Chapter 2 Numbers to 1,000
• Chapter 3 Basic Facts and Relationships
• Chapter 4 2-Digit Addition
• Chapter 5 2-Digit Subtraction
• Chapter 6 3-Digit Addition and Subtraction
• Chapter 7 Money and Time
• Chapter 8 Length in Customary Units
• Chapter 9 Length in Metric Units
• Chapter 10 Data
• Chapter 11 Geometry and Fraction Concepts

Grade 3 HMH Go Math – Answer Keys

• Chapter 1: Addition and Subtraction within 1,000
• Chapter 2: Represent and Interpret Data
• Chapter 3: Understand Multiplication
• Chapter 4: Multiplication Facts and Strategies
• Chapter 5: Use Multiplication Facts
• Chapter 6: Understand Division
• Chapter 7: Division Facts and Strategies
• Chapter 8: Understand Fractions
• Chapter 9: Compare Fractions
• Chapter 10: Time, Length, Liquid Volume, and Mass
• Chapter 11: Perimeter and Area
• Chapter 12:Two-Dimensional Shapes

Grade 3 HMH Go Math – Extra Practice Questions and Answers

• Chapter 1: Addition and Subtraction within 1,000 Extra Practice
• Chapter 2: Represent and Interpret Data Extra Practice
• Chapter 3: Understand Multiplication Extra Practice
• Chapter 4: Multiplication Facts and Strategies Extra Practice
• Chapter 5: Use Multiplication Facts Extra Practice
• Chapter 6: Understand Division Extra Practice
• Chapter 7: Division Facts and Strategies Extra Practice
• Chapter 8: Understand Fractions Extra Practice
• Chapter 9: Compare Fractions Extra Practice
• Chapter 10: Time, Length, Liquid Volume, and Mass Extra Practice
• Chapter 11: Perimeter and Area Extra Practice
• Chapter 12: Two-Dimensional Shapes Extra Practice

Common Core Grade 4 HMH Go Math – Answer Keys

• Chapter 1 Place Value, Addition, and Subtraction to One Million
• Chapter 2 Multiply by 1-Digit Numbers
• Chapter 3 Multiply 2-Digit Numbers
• Chapter 4 Divide by 1-Digit Numbers
• Chapter 5 Factors, Multiples, and Patterns
• Chapter 6 Fraction Equivalence and Comparison
• Chapter 7 Add and Subtract Fractions
• Chapter 8 Multiply Fractions by Whole Numbers
• Chapter 9 Relate Fractions and Decimals
• Chapter 10 Two-Dimensional Figures
• Chapter 11 Angles
• Chapter 12Relative Sizes of Measurement Units
• Chapter 13 Algebra: Perimeter and Area

Grade 4 Homework Practice FL.

Common Core – Grade 4 – Practice Book

• Chapter 1 Place Value, Addition, and Subtraction to One Million  (Pages 1- 20)
• Chapter 2 Multiply by 1-Digit Numbers  (Pages 21 – 47)
• Chapter 3 Multiply 2-Digit Numbers  (Pages 49- 65)
• Chapter 4 Divide by 1-Digit Numbers  (Pages 67 – 93)
• Chapter 5 Factors, Multiples, and Patterns  (Pages 95 – 109)
• Chapter 6 Fraction Equivalence and Comparison  (Pages 111 – 129)
• Chapter 7 Add and Subtract Fractions  (Pages 131 – 153)
• Chapter 8 Multiply Fractions by Whole Numbers  (Pages 155- 167)
• Chapter 9 Relate Fractions and Decimals  (Pages 169- 185)
• Chapter 10 Two-Dimensional Figures  (Pages 187- 204)
• Chapter 11 Angles  (Pages 205- 217)
• Chapter 12 Relative Sizes of Measurement Units  (Pages 219- 244)
• Chapter 13 Algebra: Perimeter and Area  (Pages 245- 258)

Grade 4 Homework FL. – Answer Keys

• Chapter 2 Multiply by 1-Digit Numbers Review/Test
• Chapter 3 Multiply 2-Digit Numbers Review/Test
• Chapter 4 Divide by 1-Digit Numbers Review/Test
• Chapter 5 Factors, Multiples, and Patterns Review/Test
• Chapter 6 Fraction Equivalence and Comparison Review/Test
• Chapter 7 Add and Subtract Fractions Review/Test
• Chapter 8 Multiply Fractions by Whole Numbers Review/Test
• Chapter 9 Relate Fractions and Decimals Review/Test
• Chapter 10 Two-Dimensional Figures Review/Test
• Chapter 11 Angles Review/Test
• Chapter 12 Relative Sizes of Measurement Units Review/Test
• Chapter 13 Algebra: Perimeter and Area Review/Test
• Chapter 1: Place Value, Multiplication, and Expressions
• Chapter 2: Divide Whole Numbers
• Chapter 3: Add and Subtract Decimals
• Chapter 4: Multiply Decimals
• Chapter 5: Divide Decimals
• Chapter 6: Add and Subtract Fractions with Unlike Denominators
• Chapter 7: Multiply Fractions
• Chapter 8: Divide Fractions
• Chapter 9: Algebra: Patterns and Graphing
• Chapter 10: Convert Units of Measure
• Chapter 11: Geometry and Volume
• Chapter 1: Divide Multi-Digit Numbers
• Chapter 2: Fractions and Decimals
• Chapter 3: Understand Positive and Negative Numbers
• Chapter 4: Model Ratios
• Chapter 5: Model Percents
• Chapter 6: Convert Units of Length
• Chapter 7: Exponents
• Chapter 8: Solutions of Equations
• Chapter 9: Independent and Dependent Variables
• Chapter 10: Area of Parallelograms
• Chapter 11: Surface Area and Volume
• Chapter 12: Data Displays and Measures of Center
• Chapter 13: Variability and Data Distributions

Go Math Answer Key for Grade 7

• Chapter 1: Adding and Subtracting Integers
• Chapter 2: Multiplying and Dividing Integers
• Chapter 3: Rational Numbers
• Chapter 4: Rates and Proportionality
• Chapter 5: Percent Increase and Decrease
• Chapter 6: Algebraic Expressions
• Chapter 7: Writing and Solving One-Step Inequalities
• Chapter 8: Modeling Geometric Figures
• Chapter 9: Circumference, Area, and Volume
• Chapter 10: Random Samples and Populations
• Chapter 11: Analyzing and Comparing Data
• Chapter 12: Experimental Probability
• Chapter 13: Theoretical Probability and Simulations
• Chapter 1 Real Numbers
• Chapter 2 Exponents and Scientific Notation
• Chapter 3 Proportional Relationships
• Chapter 4 Nonproportional Relationships
• Chapter 5 Writing Linear Equations
• Chapter 6 Functions
• Chapter 7 Solving Linear Equations
• Chapter 8 Solving Systems of Linear Equations
• Chapter 9 Transformations and Congruence
• Chapter 10 Transformations and Similarity
• Chapter 11 Angle Relationships in Parallel Lines and Triangles
• Chapter 12 The Pythagorean Theorem
• Chapter 13 Volume
• Chapter 14 Scatter Plots
• Chapter 15 Two-Way Tables

Give your kid the right amount of knowledge he needs as a part of your preparation by taking the help of our HMH Go Math Answer Key for Grades K-8. Resolve all your queries and assess your preparation standard using the Common Core Go Math Solution Key.

Practicing from the Go Math Answer Key for Grades K to 8 will provide a grade by grade roadmap and prepares students for College Readiness. Gradewise HMH Go Math Answer Key provided will develop problem-solving skills among students thereby helping them to Think, Explore and Grow. The Diverse Opportunities provided helps Kids to master the content with engaging activities.

Characteristics of Go Math Answer Key for Grades K to 8

Go through the below-listed features of referring to the HMH Go Math Anwer Key for Grades K to 8. They are outlined as follows

• All the Go Math Answer Key for Grades K to 8 are easy to download and we don’t charge any penny from you.
• Step by Step Solutions provided in the HMH Go Math Practice Key is aligned as per the College and Career Expectations.
• Solving from the Math 101 Practice Key helps you inculcate Higher Order Thinking Skills and you can answer any Question from your Homework, Assessment, or Review Test.
• More Rigorous Content made available meets the Common Core State Standards Initiative.
• You can gain a deeper knowledge of mathematical concepts and find solutions to all the Questions from Go Math Textbooks for Grades K, 1, 2, 3, 4, 5, 6, 7, 8

FAQs on Common Core HMH Go Math Answer Key

1. When Can I use the Go Math Answer Key for Grades K-8?

You can use the HMH Go Math Answer Key for Grades K to 8 while practicing the Go Math Textbook Questions as a part of your Homework or Assessment and make the most out of them.

2. Is there any site that provides the Common Core Go Math Solutions Key for Grades K, 1, 2, 3, 4, 5, 6, 7, 8?

Yes, you can find Go Math Answer Key for Grades K, 1, 2, 3, 4, 5, 6, 7, 8 all in one place i.e. ccssmathanswers.com a trusted and reliable portal.

3. Can I download HMH Go Math Answer Key PDF for free?

Yes, you can download the HMH Math 101 Practice Key for free on our page via quick links available and we don’t charge any amount for it.

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Go Math! 3 Student Edition, Grade: 3 Publisher: Houghton Mifflin Harcourt

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Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure

Hey guys!!! Are you looking for the Solution Key of Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure? If our guess is correct then you are on the right platform. Yes, here you can get the solutions for all the questions in pdf format. All you have to do is to Download Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure pdf and practice in a correct way. The topics covered in Convert and Display Measure are Length in Metric Units, Mass and Capacity in Metric Units, Length in Customary Units, Weight in Customary Units, Capacity in Customary Units, etc.

Big Ideas Math Book 5th Grade Answer Key Chapter 11 Convert and Display Units of Measure

The answers for Chapter 11 Convert and Display Units of Measure are prepared by the math professionals. So, don’t worry about the solutions just have a look at the Big Ideas Math Book 5th Grade Answer Key Chapter 11 Convert and Display Units of Measure by clicking on the below attached links. With the help of our BIM Grade 5 Chapter 11 Convert and Display Measure you can learn the concepts in depth and also score good marks in the exams.

Lesson: 1 Length in Metric Units

Lesson 11.1 Length in Metric Units

Length in metric units homework & practice 11.1.

Lesson: 2 Mass and Capacity in Metric Units

Lesson 11.2 Mass and Capacity in Metric Units

Mass and capacity in metric units homework & practice 11.2.

Lesson: 3 Length in Customary Units

Lesson 11.3 Length in Customary Units

Length in customary units homework & practice 11.3.

Lesson: 4 Weight in Customary Units

Lesson 11.4 Weight in Customary Units

Weight in customary units homework & practice 11.4.

Lesson: 5 Capacity in Customary Units

Lesson 11.5 Capacity in Customary Units

Capacity in customary units homework & practice 11.5.

Lesson: 6 Make and Interpret Line Plots

Lesson 11.6 Make and Interpret Line Plots

Make and interpret line plots homework & practice 11.6.

Lesson: 7 Problem Solving: Measurement

Lesson 11.7 Problem Solving: Measurement

Problem solving: measurement homework & practice 11.7.

Chapter – 11: Convert and Display Units of Measure

Convert and Display Units of Measure Performance Task 11

Convert and display units of measure activity, convert and display units of measure chapter practice, convert and display units of measure practice 1-11, convert and display units of measure steam performance task.

Explore and Grow

Structure How can you convert a metric length from a larger unit to a smaller unit? How can you convert a metric length from a smaller unit to a larger unit? Answer: We can convert a metric length from a larger unit to a smaller unit by Multiplying. Example: There are 1000 meters in one kilometer. Then the answer is  5km = 5000 meters. (5 × 1000) We can convert a metric length from a smaller unit to a larger unit by Dividing. Example: one meter is equal to 0.001 km.  1 meter = 0.001 km ( 1m/1000=0.001km)

Think and Grow: Convert Metric Lengths

Explanation: Because you are converting from a larger unit to a smaller unit, multiply. 6 × 10 = 60 So, 6 centimeters is 60 millimeters.

Example Convert 14,000 meters to kilometers. Answer: There are 1,000 meters in 1 kilometer.

Explanation: Because you are converting from a smaller unit to a larger unit, divide. 14,000 ÷ 1000 = 14. So, 14,000 meters is 14 kilometers.

Show and Grow

Convert the length.

Question 1. 8.5 km = 8500 m.

Answer: 8.5 × 1000 = 8500.

Explanation: Convert from kilometers to meters. We know that, 1 km= 1000m 8.5 km = 8.5 × 1000 = 8500 m

Question 2. 180 cm = 1.8 m Answer: 180/100 = 1.8 m

Explanation: Convert from centimeters to meters. 1 m = 100 cm 1 cm = 1/100 m 180 cm = 180/100 = 1.8 m

Apply and Grow: Practice

Question 3. 150 m = 0.15 km Answer: 150 m = 0.15 km

Explanation: Convert from meters to kilometers. (Divide the meter value by 1000) 150m/1000 = 0.15 km

Question 4. 90 cm = 900 mm Answer: 90 cm = 900 mm

Explanation: Convert from centimeters to millimeters. multiply the length value (i.e., cm value) by 10 90cm × 10 = 900 mm

Question 5. 0.03 m = 3 cm. Answer: 0.03 m = 3 cm

Explanation: Convert from meter to centimeter Multiply the length value by (i.e., m value ) by 100 0.03 m × 100 = 3cm

Question 6. 0.6 km = 60,000 cm Answer: 0.6 km = 60,000 cm

Explanation: Convert from kilometers to centimeters multiply the length value (i.e., km value by 100000) 0.6km × 100000 = 60,000 cm

Question 7. 800 mm = 0.8 m Answer: 800 mm = 0.8 m

Explanation: Convert from millimeters to meters Divide the length value(i.e., mm value by 1000) 800/1000 = 0.8 m

Question 8. 700 cm = 0.007 km Answer: 700 cm = 0.007 km

Explanation: Convert from centimeters to meters Divide the length value (i.e., cm value by 100000) 700/100000 = 0.007 km

Question 12.

The giant anteater has the longest tongue in relation to its body size of any mammal. Its tongue is about 0.6 meter long. How many centimeters long is its tongue?

Answer: The giant anteater has the longest tongue in relation to its body size of any mammal. Its tongue is about 0.6 meter long. Its tongue is about 60 centimeters long.

Question 13. Number Sense The length of an object can be written as b millimeters or c kilometers. Compare the values of b and c. Explain your reasoning. Answer: The length of an object can be written as b millimeters or c kilometers Let us assume that b = 2mm,  c = 2km By comparing the b and c values c value is greater than b kilometers is greater than millimeters  ( 1km = 1000000 mm , 1mm = 1 × 10 ^ -6 km).

Question 14. Writing Why does the decimal point move to the left when converting from a smaller measure to a larger measure?

Answer: As we move from a smaller unit to a larger unit, the number of larger units required will be less. Therefore the decimal point will always move to the left when you want to make a number smaller. Therefore the decimal point will always move to the right when you want to make the number Bigger.

Think and Grow: Modeling Real Life

Question 15. A pool is 3.65 meters deep. A diving board is 100 centimeters above the surface of the water. What is the distance from the diving board to the bottom of the pool in centimeters? Answer: Given pool depth = 3.65 meters Explanation: The diving board is above the surface of water = 100 centimeters Converting 3.65 meters into centimeters ( Since, 1m = 100 cm ) 3.65 meters = 365 centimeters ( Multiply the meters value by 100 ) 3.65 × 100 = 365 cm The distance from the diving board to the bottom of the pool = 365 + 100 = 465 cm

Question 16. You hike 1.6 kilometers from a cabin to a lookout. You plan to hike the same way back. On your way back, you stop after 1,050 meters to look at a map. How many meters have you hiked so far? How many kilometers are you from the cabin? Answer: Given, that hike from a cabin toa lookout = 1.6 km

Explanation: on the way you stopped after = 1,050 meters so, 1.6 km = 1600 meters 1600 m + 1,050 m = 2,650 meters Therefore, 2,650 meters have you hiked so far Therefore , 550 meters from the cabin  ( 1600m – 1050m = 550m ) Converting 550 meters to kilometers = 0.55 km ( divide the meter value by 1000). Therefore,0.55 km from the cabin. Question 17. DIG DEEPER! You can take one of two routes to school. Which route is longer? How much longer? Write your answer two different ways.

Answer: Here, we are taking one route to school i.e., (Route A)

Explanation: From Route A and Route B the longer route is “Route A”. So, we are taking “Route A” values. Here 1.3km = 1300 meters (1.3km × 1000 = 1300 meters) [Since we know that  1kilometer(km)  = 1000metres] 0.6 km = 600 meters (0.6km × 1000 = 600 meters) So, we are adding1.3km + 0.6km = 1300m + 600m = 1900 meters (OR) Method (2): Here, we are having two routes:- Route A and Route B. From the question, We observed that We have to find out the longer route from Route A and Route B. The value of Route A is 1.3km and 0.6km The value of Route B is  625m and 800m Now add both the routes A and B We are converting the Route A value from “Kilometers to Meters” Here (1.3km = 1300metres and 0.6km = 600metres) By Adding we get 1300m+600m = 1900m Now take Route B = 800m + 625m = 1425m By comparing both Route A and Route B, “Route A is longer than Route B”.

Convert the length

Question 1. 0.8 cm = __ mm Answer: 0.8 cm = 8 millimeters (mm)

Expl anation: We have to convert from centimeters to millimeters 1 mm = 0.1 cm Multiply the 0.8 with 10  (0.8 × 10 =8)

Question 2. 7 m = _ km Answer: 7 m =  0.007 km

Explanation: Convert from meters to kilometers 1 km = 1000 m Divide the length value by 1000 ( 7/1000 =  0.007)

Question 3. 6.4 km = ___ m Answer: 6.4 km = 6400 m

Explanation: Convert from kilometers to meters 1 km = 1000 m Multiply the length value by 1000 (6.4 × 1000 = 6400)

Question 4. 1,300 mm = __ cm Answer: 1,300 mm = 130 cm

Explanation: Convert from millimeters to centimeters. 1 mm = 0.1 cm Divide the length value by 10 ( 1300/10 = 130)

Question 5. 91,000 cm = ___ km Answer: 91,000 cm = 0.91 km

Explanation: Convert from centimeters to kilometers. 1 cm = 1e – 5 Divide the length value by 100000 ( 91000/100000 = 0.91)

Question 6. 20,000 mm = ___ km Answer: 20,000 mm = 0.02 km

Explanation: Convert from millimeters to kilometers Multiply the value in mm by the conversion factor 1.0E-6. So, 20000 mm times 1.0E-6 is equal to 0.02 km.

Explanation: 16cm = 0.16 m 16cm/100 = 0.16m 1.6 m = 1.6m × 100 = 160 cm

Explanation: Convert from kiometers to millimeters 1km = 1000000 mm 45 mm = 4.5 × 10 ^ -5 km ( it is spelled as 10 to the power of -5)  (or)   4.5 e^-5

Question 10. Dolphins can hear sounds underwater that are 24 kilometers away. How many meters away can dolphins hear sounds underwater? Answer: Given, Dolphins can hear sounds underwater that are 24 kilometers away. 24000 meters away dolphins can hear sounds underwater.

Question 11. Reasoning How can you convert 7.8 meters to kilometers by moving the decimal point? Explain your reasoning. Answer: Converting 7.8 meters to kilometers 7.8 meters = 0.0078 kilometers.

Explanation: 7.8 m / 1000 = 0.0078 km ( Divide the meter value by 1000 ) ( 1km = 1000 m ) To convert from meters to kilometers, divide the meter value by 1000 since , 1km = 1000m divide the whole meter value by 1000, put a decimal point at the end of the number and then move it three places to the left. (But in question we have the decimal number that is 7.8  so, that is why we have moved the decimal point to the fourth number from left).

Question 12. YOU BE THE TEACHER Your friend divides by 100 to convert a length from meters to centimeters. Is your friend correct? Explain. Answer: No, it is not correct.

Explanation: Converting a length from meters to centimeters, We have to multiply the length value by 100.

Answer: 5,000 cm measurement does not belong with the other three.

Explanation: 500,000 mm = 500 m 500 m = 0.5km But, 5000 cm = 50m (Here the value 50 m is didn’t belong with given values in question)

Question 14. Modeling Real Life A small chunk of ice called a growler breaks away from an ice burg. The growler sticks out of the water 840 millimeters and is 3.5 meters deep in the water. What is the total height of the growler in meters? Answer: Converting 840 millimeters into meters

Explanation: 840 mm = 0.84 meter ( Divide the length value by 1000) 840/1000 = 0.84 meter Total Height of the growler = 0.84 m × 3.5 m (Multiply 0.84m and 3.5m) = 2.94 meters.

Question 15. DIG DEEPER! A spaceship’s route from Earth to the moon is 384,400 kilometers long. The spaceship travels 500,000 meters. How many kilometers does it have left to travel? Answer: The Spaceship has left to travel from Earth to the Moon = 500 kilometers.

Review & Refresh

Write the fraction in the simplest form.

Question 16. \(\frac{2}{8}\) Answer: \(\frac{2}{8}\) = \(\frac{1}{4}\)

Question 17. \(\frac{10}{100}\) Answer: \(\frac{10}{100}\) = \(\frac{1}{10}\)

Question 18. \(\frac{24}{16}\) Answer: \(\frac{24}{16}\) = \(\frac{3}{2}\)

Structure How can you convert liters to milliliters? How can you convert milliliters to liters? Answer: Converting liters to milliliters ( 1 liter = 1000 milliliters )

Explanation: multiply the volume (i.e., liter value by 1000 ) For example :-  0.01 liter = 10 ml 0.1 liter = 100 ml 1 liter = 1000 ml Converting milliliters to liters ( 1 milliliters = 0.001 liters) Divide the volume value ( i.e., liter value by 1000) 1/1000 = 0.001 liter .

Think and Grow: Convert Metric Measures

Convert the mass.

Question 1. 8 kg = ___ g Answer: 8 kg = 8000 g (8 × 1000 = 8000g)

Explanation: Convert from kilograms to grams 1 kg = 1000 g 8 kg = 8 × 1000 g = 8000 g

Question 2. 3,800 mg = __ g Answer: 3,800 mg = 3.8 g Explanation: Convert from milligrams to grams Divide the mass value ( mg value) by 1000 ( 3800/1000 = 3.8 g )

Convert the capacity.

Question 3. 22,000 mL = __ L Answer: 22,000 mL = 22 L Explanation: Convert from milliliters to liters. Divide the volume value ( mL value) by 1000 ( 22000/1000 = 22 L )

Question 4. 4.6 L = __ mL Answer: 4.6 L = 4600 mL

Explanation: Convert from liters to milliliters Multiply the volume value ( L  value) by 1000 4.6 × 1000 = 4600 mL

Question 5. 5,000 g = ___ kg Answer: 5,000 g = 5 kg

Explanation: Convert from grams to kgs Divide the mass value ( g value) by 1000 1000 grams = 1 kg 5000/1000 = 5kg

Question 6. 67 g = ___ mg Answer: 67 g = 67000 mg

Explanation: Convert from grams to milligrams 1 g = 1000 mg Multiply the mass value ( g value ) by 1000 67 × 1000 = 67000 mg

Question 7. 0.2 kg = __ mg Answer: 0.2 kg = 200000 mg

Explanation: Multiply the mass value ( kg value) by 1e+6

Question 8. 30,000 mg = __ kg Answer: 30,000 mg = 0.03 kg

Explanation: Divide the mass value ( mg value ) by 1e+6

Question 9. 8 L = ___ mL Answer: 8 L = 8000 mL  ( 8 × 1000 = 8000 mL )

Explanation: Convert from liters to milliliters 1L = 1000 mL ( Multiply the volume ( L ) value by 1000) 8 liters = 8 × 1000 ml = 8000 ml

Question 10. 70 mL = ___ L Answer: 70 mL = 0.07 L

Explanation: Convert from milliliters to liters Divide the volume ( mL ) value by 1000 70/1000 = 0.07 L

Question 11. 1.200 mL = __ L Answer: 1.200 mL = 0.0012 L

Explanation: Convert from milliliters to liters Divide the volume ( mL ) value by 1000 1.200/1000 = 0.0012 L

Question 12. 0.4 L = ___ mL Answer: 0.4 L = 400 mL

Explanation: Convert from milliliters to liters Multiply the volume ( L ) value by 1000 ( 0.4 × 1000 = 400 mL )

Answer: Given, the mass of the pumpkin = 6,000 grams According to the question, we have to find out the mass of pumpkin in kilograms. Converting the 6,000 grams into kilograms = 6 kilograms

Explanation: Divide the mass ( grams ) value by 1000 [1 kilogram = 1000 grams] , [ 6 kilogram = 6,000 grams ] (6000/1000 = 6 kilograms ) So, the mass of pumpkin in kilograms is 6 kilograms.

Explanation: So, the 2ml does not have the same capacity as the other three

Explanation: 0.039 kg = 39 grams 0.14 kg = 140 grams 56 g = 0.056 kg 14,000 mg = 14 grams.

Explanation: There are 1000 grams in 1 kilogram. 5 × 1000 = 5000 So, the bag contains 5000 grams of dog food. Divide the amount of dog food in the bag by the amount you give your dog each day. 5000 ÷ 50 =100 So, the bag lasts for 100 days.

Question 16. You have 6 liters of juice to make frozen treats. You pour 30 milliliters of juice into each treat mold. How many treats can you make? Answer: We can make 200 treats.

Explanation: We have 6 Liters of juice 6 Liters = 6000 milliliters From the formula ( 1 liter = 1000 milliliter ) 30 milliliters of juice is poured into each treat mold so , 6000 / 30 = 200 so, we can make 200 treats.

Explanation: convert 2.3 grams into milligrams 2.3 grams = 2300 milligrams ( multiply the value of the gram by 1000 ) subtract the sodium you eat values 2300 – 210 – 250 – 690 = 1150 so, you can take 1150 more milligrams of sodium.

Explanation: from the question, we have to find 3 juice bottles quantity and 32 juice boxes quantity in milliliters. 1 L = 1000 mL ( from formula ) 2L = 2000 mL for 3 juice bottles = 3 × 2000 = 6000 ml for 32 juice boxes = 32 × 200 = 6400 ml so, 6400 – 6000 = 400 ml 400 mL is more Therefore, 32 juice boxes contain more juice than 3 juice bottles.

Convert the mass

Question 1. 9 g = 9000 mg Answer: 9 g = 9000 mg

Explanation: Convert from grams to milligrams 1 g = 1000 mg 9 g = 9000 mg ( multiply the g value by 1000 )

Question 2. 78 g = 0.078 kg Answer: 78 g = 0.078 kg

Explanation: Convert from grams to kilograms. 1 g = 0.001 kg 78 g = 0.078 kg ( divide the g value by 1000 )

Question 3. 260,000 mg = _0.26_ kg Answer: 260,000 mg = 0.26 kg

Explanation: Convert from milligrams to kilograms. 1 mg = 1e + 6 260,000 mg = 0.26 kg

Question 4. 0.148 kg = 148000 mg Answer: 0.148 kg = 148000 mg

Explanation: Convert from kilograms to milligrams 1kg = 1000000 mg 0.148 kg = 148000 mg

Convert the capacity

Question 5. 600 mL = 0.6 L Answer: 600 mL = 0.6 L

Explanation: Convert from milliliters to liters. 1mL = 0.001 L 600 mL = 0.6 L divide the mL by 1000

Question 6. 3 L = 3000 mL Answer: 3 L = 3000 mL

Explanation: Convert from liters to milliliters. 1 L = 1000 mL 3 L = 3000 mL ( multiply the L value by 1000 )

Question 7. 0.21L = 210 mL Answer: 0.21 L = 210 mL

Explanation: Convert from liters to milliliters. 1 L = 1000 mL 0.21 L = 210 mL ( multiply the L value by 1000 )

Question 8. 35 mL = 0.035 L Answer: 35 mL = 0.035 L

Explanation: Convert from milliliters to liters. 1 mL = 0.001 L 35 mL = 0.035 L divide the mL value by 1000

Question 9. There are 3.2 liters of iced tea in a pitcher. How many milliliters of iced tea are in the pitcher? Answer: Given that iced tea in a pitcher = 3.2 Liters we have to find out iced tea in the pitcher in milliliters

Explanation: Convert from liters to milliliters. 3.2 Liters = 3200 milliliters 1 Liter = 1000 milliliter 3.2 Liters = 3200 milliliters ( multiply the Liters value by 1000 ) so, therefore 3200 milliliters of iced tea are in the pitcher.

Question 10. YOU BE THE TEACHER Your friend says that 0.04 kilogram is less than 4 × 10 5 milligrams. Is your friend correct? Explain. Answer: 0.04 kilogram = 40,000 mg 4 × 10 5 mg = 0.4 kg

Explanation: The metric system includes units of length ( meters ), mass ( grams ), and capacity (liters). from the given question we have to relate each prefix to the metric units of mass and capacity is:- metric units of mass of prefix kilo are:-  kilo is the prefix of the kilogram(kg),  kilogram (kg)=1000 grams Milli is the prefix of milligram(mg) , milligram(mg) = 0.001 gram metric units of the capacity of prefix kilo is:- kilo is the prefix of Kiloliter(KL), Kiloliter (KL) = 1000 liters Milli is the prefix of Milliliter(mL), Milliliter (mL) = 0.001 liters

Question 12. Modeling Real Life You have 9 kilograms of corn kernels. You put 450 grams of corn kernels in each bag. How many bags can you make? Answer: we can make 20 bags.

Explanation: Given that you have 9 kilograms of corn kernels convert 9 kilograms to grams = 9 kilograms = 9000grams you put 450 grams of corn kernels in each bag. we have to find out the how many bags we can make so, divide the 9000 grams by 450 grams = 9000/450 = 20 so, we can make 20 bags.

Explanation: We have to measure exactly 2 Liters of liquid for each beaker  ( 2L = 2000 ml ) The three different ways we can do this is :- for first beaker = 400ml × 5 = 2000ml for second beaker = 600ml × 2 + 400ml × 2 = 1200ml + 800ml = 2000ml for third beaker = 1 L + 1 L = 2 L

Question 14. Newton rides to the store in a taxi. He owes the driver $12. He calculates the driver’s tip by multiplying $12 by 0.15. How much money does he pay the driver, including the tip? Answer: Given that newton rides to the store in a taxi. He owes the driver $12. so, he multiplies the drivers tip by $12 by 0.15 $12 × 0.15 + $12 = 13.8 so, newton paid the driver including a tip is 13.8

Work with a partner. Use a yardstick to draw 3 lines on a whiteboard that are 1 yard, 2 yards, and 3 yards in length. Then measure the lengths of the lines in feet and in inches. Record your measurements in the table:- Table values are:- 1  Length(yards) = 3 (feet) ,  36(inches) 2  Length(yards) = 6 (feet) , 72(inches) 3  Length(yards) = 9 (feet) , 108(inches)

Answer: 1 foot is 12 times as long as 1 inch. 1 yard is 3 times as long as 1 foot. 1 yard is 3 × 12 times as long as 1 inch.

Structure How can you convert a customary length from a larger unit to a smaller unit? How can you convert a customary length from a smaller unit to a larger unit? Answer: When converting customary units of measure from a larger unit to a smaller unit, multiply the larger unit by its smaller equivalent unit. when converting customary units of measure from a smaller unit to a larger unit, divide the smaller unit by its larger equivalent unit.

Think and Grow: Convert Customary Lengths

Explanation: Because you are converting from a larger unit to a smaller unit, multiply. 3 × 1760 = 5280 So, 3 miles is 5280 yards.

Explanation: Convert from feet to inches 1 foot = 12 inches 6 feet = 6 × 12 = 72 inches 1/2 ft = 6 inches 72 + 6 = 78 inches multiply the ft value by 12 6 1/2 ft = 78 inches

Question 2. 94 in. = ft in. Answer: 94 in = 7 ft 10 in

Explanation: divide the inch value by 12

Explanation: multiply the ft value by 12

Question 4. 60 in. = _5_ ft Answer:- 60 in = 5 f

Explanation: divide the in value by 12

Question 5. 375 ft = __ yd Answer: 375 ft = 125 yd

Explanation: divide the ft value by 3

Explanation: Convert from yards to feet. 1 yard = 3 feet multiply the yd value by 3

Question 7. 51 in. = __ ft___in. Answer: 51 in = 4 feet 3 inches

Explanation: Convert from inches to feet. divide the 51-inch value by 12

Question 8. 5 yd = __ in. Answer: 5 yd = 180 inches

Explanation: Convert from yards to inches. 1 yard = 36 inches multiply the yd value by 36 5 yards = 5 × 36 = 180 inches

Explanation: Convert from yards to feet. multiply the yd value by 3 22 ft = 7.333 yd divide the ft value by 3

Explanation: Convert from inches to feet. divide the inch value by 12 4 ft 8 in = 56 inches multiply the length value by 12

Explanation: Convert from inches to yards. divide the in value by 36 6 yd = 216 inches multiply the  yd value by 36

Explanation: Therefore 32 inches long is the dugong.

Answer: 1)  5 × \(\frac{1}{2}\) =\(\frac{5}{2}\) feet 5/2 feet = 30 inches multiply the feet value by 12 2) 5 feet 3 inches = 63 inches multiply the 5 feet 3 inches value by 12 3) 5 × \(\frac{2}{3}\) feet = 40 inches multiply the feet value by 12 4)  5 × \(\frac{3}{4}\) feet = 45 inches multiply the feet value by 12 So, order from shortest to longest = 5 × 1/2 , 5 × 2/3 , 5 × 3/4 , 5 feet 3 inches .

Explanation: There are 3 feet in 1 yard. 250/3 = 83.33 yards = 83 × \(\frac{1}{3}\) yards.

Question 14. A tree is 27 feet tall. After the tree is struck by lightning, it is 96 inches shorter. How many feet tall is the tree after it is struck by lightning? Answer: Given a tree is 27 feet tall. After the tree is struck by lightning, it is 96 inches shorter we have to find the feet of the tree after it is struck by lightning. 27 feet = 324 inches Subtract 324 – 96 = 228 inches converting 228 inches to feet ( i.e., 228 inches = 19 feet ) So, therefore after the tree is struck by lightning its feet tall = 19 feet

Question 15. DIG DEEPER! The rope ladder is 2\(\frac{1}{2}\) yards tall. Each knot is made using 16 inches of rope. How many feet of rope are used to make the ladder? Explain. Answer: 22 feet of rope are used to make the ladder.

Question 16. DIG DEEPER! The Chesapeake Bay Bridge is 4\(\frac{3}{10}\) miles long. Road work begins 1,200 yards from one end of the bridge and ends 2 miles from the other end of the bridge. How many yards long is the road work? Answer: 11760 yards

Explanation: Given, The Chesapeake Bay Bridge is 4\(\frac{3}{10}\) miles long. Road work begins 1,200 yards from one end of the bridge and ends 2 miles from the other end of the bridge. 1760 × 4 = 7,040 1760 × 2 = 3,520 given 1200 yards so, 7040 + 3520 + 1200 = 11760 yards  ( since 1 mile = 1760 yards )

Question 1. 2\(\frac{1}{3}\) yd = __ in. Answer:- 2 × \(\frac{1}{3}\) yd = 84 in

Explanation:- Convert from yards to inches 1 yard = 36 inches Multiply the yd value by 36

Question 2. 5 mi = __ yd. Answer: 5 mi = 8800 yards

Explanation: Convert from miles to yards 1 mile = 1760 yards multiply  the mi value by 1760 5 miles = 5 × 1760 yards 5 mi = 8800 yards

Question 3. 3\(\frac{1}{3}\) yd = __ ft Answer: Convert from yards to feet. multiply the yd value by 3 3 × 1/3 yd = 1 yd 1 yd = 3 feet

Question 4. 27 in. = __ ft __ in. Answer: 27 in = 2 feet 3 inches

Explanation: Convert from inches to feet. divide the 27 inches value by 12

Question 5. 108 in. = __ yd Answer: 108 in = 3 yards

Explanation: Convert from inches to yards 1 yard = 36 inches divide the in value by 36

Question 6. 34 in. = __ ft Answer: 34 in = 2 feet 10 inches

Explanation: Convert from inches to feet 1 foot = 12 inches Divide the in value by 12

Explanation: Given velociraptor in ft = 28 ft Converting 28 ft into yards = 28 ft = 9.333 yards Divide the ft value by 3.

Explanation: one side height = 1 feet 9 inches so, 12 + 9 = 21 inches 6 × 21 inches = 126 inches 9 inches for the bow so, 126 + 9 = 135 inches Therefore 135 inches of ribbon is used altogether.

Find the quotient.

Question 15. 3,200 ÷ 40 = 80 Answer: 3,200 ÷ 40 = 80

Question 16. 5,400 ÷ 9 = _600__ Answer: 5,400 ÷ 9 = 600

Question 17. 600 ÷ 20 = _30_ Answer: 600 ÷ 20 = 30

Think and Grow: Convert Customary Weights

Explanation: There are 2000 pounds in 1 ton. so, 4 × 1/4 tons = 2000 pounds.

Explanation: Convert from ounces to pounds divide the ounces value by 16 40 / 16 = 2.5 so, 40 ounces is 2.5 pounds.

Convert the weight.

Question 1. 9 T = __ lb Answer: 9 T = 19841.604 lb

Explanation: Convert from tonns to pounds. multiply the T value by 2205.

Question 2. 6\(\frac{1}{2}\) lb = __ oz Answer: 6 × \(\frac{1}{2}\) lb = \(\frac{6}{2}\) = 3

Explanation: Convert from pounds to ounces 3 lb = 48 oz multiply the lb value by 16

Question 3. 6,000 lb = __ T Answer: 6,000 lb = 3 US tons

Explanation: Convert from pounds to tonn divide the lb value by 2000

Question 4. 80 oz = __ lb Answer: 80 oz = 5 lb

Explanation: Convert from ounces to pounds. divide the oz value by 16

Question 5. 10,000 lb = __ T Answer: 10,000 lb = 4.536 T

Explanation: divide the lb value by 2205.

Question 6. 8 lb = __ oz Answer: 8 lb = 128 oz

Explanation: Convert from pounds to ounces. multiply the lb value by 16

Question 7. 240 oz = __ lb Answer: 240 oz = 15 lb

Explanation: Convert from ounces to pounds divide the oz value by 16

Question 8. 7\(\frac{1}{4}\) T = ___ lb Answer: 7 × \(\frac{1}{4}\) = 1.75 1.75 T = 3858.09 lb

Explanation: Convert from tonnes to pounds multiply the T value by 2205.

Question 9. 150 oz = ___ lb __ oz Answer: 150 oz = 9.375 lb  150 oz

Explanation: Convert from pounds to ounces divide the oz value by 16

Question 10. 32,000 oz = __ T Answer: 32,000 oz = 1 US ton

Explanation: Convert from pounds to tonn divide the oz value by 32000

Explanation: multiply the T value by 2000 6,000 lb = 3 US tons divide the lb value by 2000

Explanation: divide the oz value by 16 3 × 1/2 lb = 1.5 lb 1.5 lb = 0.00068 t divide the lb value by 2205

Explanation: multiply the oz value by 32000 224,000 oz = 7 US tons divide the oz value by 32000

Question 15. Reasoning Compare 10 pounds and 165 ounces using mental math. Explain.

Answer: 0 pounds = 160 ounces multiply the value of the pound by 16 165 ounces = 10.3125 pounds divide the value of the ounce by 16 By comparing both the values 165 ounces is greater than 10 pounds.

Explanation: 3 lb 12 oz measurement is equivalent to 60 ounces (oz)

Explanation: Given boy weighs = 122 ounces 122 / 16 = 7.625 = 2 – 6 × 16 + 4 = 100 ounces so, 122 >100 Boy weigh is more than girl weigh = 22 ounces more

Explanation: 17 ounces box of cereal weighs more 0.562 much more

Explanation: 1/2 tons = 1000 pounds ( converting tons to pounds) Given in figure female rhinoceros = 3,500 lb 3,500 lb = 1.75 US tons ( converting pounds to tons ) Female rhinoceros weigh more than male rhinoceros 1.75 tons – 1/2 tons => 1.75 – 0.5 = 1.25 tons 1.25 tons weigh is more we can write 1.25 in simplest form as, we have 2 digits after the decimal point so multiply both numerator and denominator by 100, so that there is no decimal point in the numerator. 1.25 × 1001 × 100 = 125100 125 / 25100 / 25 = 54 simplest form of 1.25 = 5/4

Answer: Yes, all passengers who are listed on the table can ride the boat at once.

Question 1. 10 T = __ lb Answer: 10 T = 20000 lb

Explanation: Convert from tonn to pounds 1 tonn = 2000 pounds multiply the T value by 2000

Question 2. 32 oz = ___ lb Answer: 32 oz = 2 pounds

Question 3. 48,000 lb = __ T Answer:  48,000 lb = 24 US tons

Explanation: Convert from pounds to tons divide the lb value by 2000

Question 4. 50 lb = __ oz Answer: 50 lb = 800 oz

Explanation: Convert from pounds to ounces. multiply the mass value by 16

Question 5. 5\(\frac{3}{4}\)T = __ lb Answer: 5 × \(\frac{3}{4}\) = 15/4 =3.75 T 3.75 t = 8267.1957671958 lb

Question 6. 8\(\frac{1}{2}\) lb = __ oz Answer: 8 × \(\frac{1}{2}\) = 8/2 = 4 lb 4 lb = 64 ounces

Question 7. 168 oz = __ lb __ oz Answer: 168 oz = 10.5 lb 168 oz

Question 8. 96,000 oz = __ T Answer: 96,000 0z = 2.7216 T

Explanation: Convert from ounces to the ton. 96,000 0z = 2.7216 T

Explanation: divide the oz value by 16 8 × 1/4 lb = 8/4 = 2 lb 2 lb = 32 oz multiply the lb value by 16

Question 12. A newborn puppy weighs 3 pounds 5 ounces. What is the weight of the puppy in ounces? Answer: Given a new born puppy weighs 3 pounds 5 ounces we have to find the weight of the puppy in ounces 3 pounds 5 ounces = 1500 grams convert 1500 grams to ounces 1500 grams = 52.911 ounces divide the value of the gram by 28.35 The weight of puppy in ounces = 28.35

Question 13. Number Sense How many tons are equal to 500 pounds? Write your answer as a fraction in simplest form.

Answer: 500 pounds = 0.25 US tons

Explanation: divide the value of the pound by 2000 when 0.25 reduced to the simplest form is (25/25)(100/25) = 14

Open-Ended Complete the statement.

Question 14. __ pounds > 72 ounces

Answer: 4.6 pounds > 72 ounces

Explanation: 4.6 pounds = 73.6 ounces multiply the pound’s value by 16

Question 15. 13 tons < __ pounds Answer: 13 tons < 27000 pounds

Explanation: Convert from tons to pounds 1 ton = 2000 pounds divide the value of the pound by 2000.

Question 16. Modeling Real Life An employee at a juice cafe uses 10 ounces of kale and \(\frac{3}{4}\) pound of apples to make a drink. Does the employee use more kale or apples? How much more? Answer: Given that an employee at a juice cafe uses of kale = 10 ounces and he uses pound of apples to make a drink = 3/4 pounds

Explanation: converting 10 ounces to pounds = 0.625 pound divide the value of the ounce by 16 converting 3/4 pounds to ounces = 12 ounces 12 ounces  is greater than 0.625 pounds The employee uses more apples than kale 0.125 is more.

Find the product. Check whether your answer is reasonable.

Answer: We can convert cups to fluid ounces by multiplying the value of the cup by 8 1 cup = 8 fluid ounces We can convert fluid ounces to cups by dividing the value of the fluid ounce by 8 1 fluid ounce = 0.125 US cup .

Think and Grow: Convert Customary Capacities

Question 1. 9 gal = __ qt Answer: 9 gal = 36 Us liquid qt

Explanation: Convert from gal to quart 1 gal = 4 quart multiply the gal value by 4

Question 2. 20 pt = __ c. Answer: 20 pt = 48.038 c

Explanation: Convert from pints to cups multiply the pt value by 2.402

Question 3. 42 pt = __ qt Answer: 42 pt = 25.2199 qt

Explanation: Convert from pints to quarts divide the pt value by 1.665

Question 4. 68 qt = __ gal Answer: 68 qt = 17 gal

Explanation: Convert from quarts to gal divide the qt value by 4

Question 5. 7 c = fl oz Answer: 7 c = 56 US fl oz

Explanation: Convert from cups to fluid ounces multiply the c value by 8

Question 6. 6 pt = __ qt Answer: 6 pt = 3.60285 qt

Explanation: Convert from pints to quarts 1 pint = 0.5 quart divide the pt value by 1.665

Question 7. 16 qt = __ gal Answer: 16 qt = 4 US liquid gal

Explanation: Convert from quarts to gal 1 quart = 0.25 gal divide the qt value by 4

Question 8. 15 pt = __ c Answer: 15 pt = 36.0285 US c

Explanation: Convert from pints to cups. multiply the pt value by 2.402

Question 15. Number Sense Newton’s water cooler contains 1\(\frac{1}{2}\) gallons of water. How many times can he fill his 16-fluid ounce canteen with water from the water cooler? Explain. Answer:- Given newton’s water cooler contains 1 × 1/2 = 1/2 = 0.5 gallons Explanation:-   converting 0.5 gallons = 64 US fluid ounces ( multiply the gallons value by 128 ) Given 16 fluid ounce He can fill 4 times his 16 fluid ounce canteen with water from the water cooler ( i.e., 16 × 4 = 64 fluid ounce ) .

Explanation: 2 quarts = 4 pints multiply the quarts value by 2 1 pint = 2 cups converting 2 quarts to cups 2 quarts = 8 cups multiply the quarts value by 4 So, a mechanic can use just 8 cups 8 cups are enough to drain engine oil. Show and Grow

Question 17. An adult has 192 fluid ounces of blood in his body. How many pints of blood are in his body? Answer: Given an adult has 192 fluid ounces of blood in his body we have to find the pints of blood in his body Converting 192 fluid ounces to pints 192 fluid ounces = 12 US liquid pints divide the value of the fluid ounce by 16 Therefore, 12 pints of blood are in his body.

Question 18. DIG DEEPER! You make 4\(\frac{1}{2}\) cups of soup. One serving is 12 fluid ounces. How many servings of soup do you make? Answer: Given 4 × 1/2 cups of soup 4 × 1/2 = 4/2 = 2 cups of soup 2 cups of soup converting to fluid ounces 2 US cups = 16 US fluid ounces Given that serving = 12 fluid ounces Subtract  16 fluid ounces – 12 fluid ounces = 4 fluid ounces so, therefore you can make servings of soup in 4 fluid ounces.

Question 1. 9 pt = __ c Answer: 9 pt = 18 c

Explanation: multiply the pt value by 2

Question 2. 72 fl oz = ___ c Answer: 72 fl oz = 9 c

Explanation: Convert from fluid ounces to cups. 1 fl oz = 0.125 c divide the fl oz value by 8

Question 3. 6 c = __ fl oz Answer: 6 c = 48 fl oz

Explanation: Convert from cups to fluid ounces 1 cup = 6 fluid ounces 6 cups = 6 × 8 fluid ounces multiply the c value by 8 Thus 6 c = 48 fl oz

Explanation: Convert from gal to quart 1 gal = 4 quart 4  × 15/4 gal = 15 qt multiply the gal value by 4

Explanation: Convert from quarts to pints 1 quart = 2 pints

multiply the qt value by 2 5 1/2 = 11/2 11/2 × 2 = 11 pints

Question 6. 40 pt = __ gal Answer: 40 pt = 5 gal

Explanation: Convert from pints to gal 1 pint = 0.125 gal 40 pint = 40 × 0.125 = 5 gal Thus 40 pt = 5 gal

Question 7. 64 qt = __ c Answer: 64 qt = 256 c Explanation: Convert from quarts to cup 1 quart = 4 cups multiply the qt value by 4

Question 8. 112 fl oz = __ pt Answer: 112 fl oz = 7 US liquid pt Explanation: divide the fl oz value by 16

Question 12. You buy 2 gallons of apple cider. How many cups of apple cider do you buy?

Answer: Given that 2 gallons of apple cider we have to find the cups of apple cider Converting 2 gallons to Cups 2 gallons = 32 cups multiply the gallons value by 16 So, you buy the 32 cups of apple cider.

Question 15. Modeling Real Life Your friend buys 8 quarts of frozen yogurt. How many cups of frozen yogurt does she buy? Answer: Given that quart of frozen yogurt = 8

Explanation: we have to find cups of frozen yogurt converting 8 quarts to cups 8 quarts = 32 cups ( multiply the quarts value by 4 ) Therefore, she buys 32 cups of frozen yogurt

Question 16. Modeling Real Life A recipe calls for 2\(\frac{1}{4}\) cups of milk. You want to make 2 batches of the recipe. Should you buy a pint, quart, or half gallon of milk? Answer: Given 2 × 1/4 => 2/4 = 1/2 cups of milk

Explanation: we want to make 2 batches of recipe (i.e., 2 × 1/2 = 1 cup ) 1 pint = 2 cups 1 cup = 1/2 pint

Question 17. 0.5 × 0.7 = _0.35_ Answer: multiply the 0.5 × 0.7 = 0.35

Question 18. 46.2 × 0.68 = _31.416_ Answer: multiply the 46.2 × 0.68 = 31.416

Question 19. 1.4 × 0.3 = _0.42_ Answer: multiply the 1.4 × 0.3 = 0.42

Think and Grow: Make Line Plots

Use the table.

Question 3. DIG DEEPER! How many total cups of berries are needed to make one of each smoothie? Answer: Total 2 to 3 cups of berries are needed to make one of each smoothie.

Use the line plot.

Expla nation: 0 + 0 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1 + 1.5+ 2 = 8 He runs same miles each day = 8/10 = 0.8 0.8 = 4/5 Question 5. DIG DEEPER! Your cousin runs a total amount that is 6 times as far as your friend runs in one day. How far does your cousin run? Answer: Let us assume that, If the friend runs 0.8 per day

Explanation: 0.8 = 4/5 so, cousin run 6 times more than a friend so, 6 × 0.8 = 4.8 ( cousin runs per day is 4.8 )

Question 6. 561 ÷ 7 = 80.142 Answer: divide the 561 ÷ 7 = 80.142

Question 7. 3,029 ÷ 4 = 757.25 Answer: divide the 3,029 ÷ 4 = 757.25

Question 8. 2,814 ÷ 9 = 312.6 Answer: divide the 2,814 ÷ 9 = 312.6

Explanation: The tote can hold up to 4 pounds A bag of oranges weighs = 2 × 1/4 = 2/4 = 1/2 pounds A bag of apples weighs = 28 ounces we have to find that can tote to hold both bags Convert 28 ounces to pounds 28 ounces = 1.75 pounds ( divide the value of the ounce by 16 ) Given in question that tote can hold up to 4 pounds so, adding 1/2 pounds and 1.75 pounds = 1/2 pounds = 0.5 0.5 pounds + 1.75 pounds = 2.25 pounds Therefore tote holds both the bags of fruit.

Precision Which bag of fruit is heavier? Explain. Answer: Bag of apple is heavier ( i.e., a bag of apple weighs 28 ounces )

Explanation: 28 ounces = 1.75 pounds bag of orange is 0.5 pounds 1.74 > 0.5  (So, apple bag weigh is heavier)

Think and Grow: Problem Solving: Measurement

Understand the Problem

What do you know?

• The recipe calls for 2 cups of milk.
• You have \(\frac{1}{4}\) pint of whole milk and 1\(\frac{1}{2}\) cups of skim milk.

What do you need to find?

You need to find whether you have enough milk for the recipe. Answer: Given that recipe calls for 2 cups of milk you have 1/4 pint of whole milk => 1/4 pint = 0.25 pint 0.25 pint = 0.5 cups and 1 × 1/2 cups of skim milk => 1/2 cups = 0.5 cups adding cups values => 0.5 + 0.5 = 1 So, you don’t have enough milk for the recipe .

Make a Plan How will you solve?

• Convert \(\frac{1}{4}\) pint of whole milk to cups.
• Add the amounts of whole milk and skim milk.
• Compare the amount of milk you have to the amount needed.

Question 1. Explain how you can check whether the answer above is reasonable. Answer:  By calculating we get whole milk = 0.5 cups By calculating we get skim milk =  0.5 cups By adding whole milk and skim milk => 0.5 + 0.5 = 1 cup

Understand the problem. What do you know? What do you need to find? Explain.

Question 2. Your friend buys 1 pound of walnuts, 16 ounces of peanuts, and \(\frac{1}{2}\) pound of cashews. How many ounces do the nuts weigh in all? Answer: Given walnuts = 1 pounds peanuts = 16 ounces cashews = 1/2 pounds we have to find weight of all nuts in ounces Explanation: walnuts = 1pounds converting pounds to ounces 1 pounds = 16 ounces peanuts = 16 ounces cashews = 1/2 pounds converting pounds to ounces 1/2 pounds = 8 ounces Adding peanuts , cashews , walnuts weight = 16 + 8 + 16 = 40 ounces The nuts weigh in all = 40 ounces

Question 3. A bottle of orange juice contains 64 fluid ounces. How many cups of orange juice are in 3 bottles?

Understand the problem. Then make a plan. How will you solve? Explain. Answer: Given that a bottle of orange juice contains = 64 fluid ounces. Converting 64 fluid ounces to cups 64 fluid ounces = 8 cups 8cups × 3 bottles = 8 × 3 = 24 cups

Question 5. Your friend runs a total distance of 1 kilometer at track practice by running 100-meter hurdles. How many times does he run the hurdles? Answer: Given your friend runs a total distance = 1 km Convert 1 km to meters 1 km = 1000 meters your friend practice 100 meter hurdles by running so 100 × 10 = 1000 so , 10 times he run the hurdles

Question 6. A trailer can carry 13\(\frac{1}{2}\) tons. It has room to carry 6 cars at once. Can the trailer carry 6 cars that each weigh 3,800 pounds? Explain.

Answer: Convert tons to pounds 13 × 1/2 tons = 13000 pounds Given total 6 cars each car weigh 3,800 pounds so, 6 cars × 3,800 pounds = 6 × 3,800 = 22,800 pounds so, the trailer cannot carry 6 cars at once

Question 7. DIG DEEPER! You walk your dog 4 laps around the block each day. Each block is 400 meters. How many total kilometers do you walk your dog around the block after 35 weeks? Answer: Given, you walk your dog around the block each day = 4 laps Each block = 400 meters

Explanation: There are 7 days in a week given 35 weeks 4 × 400 × 7 × 35 = 392000 meters Convert 392000 meters to km 392000 meters = 392 km Therefore, 392 km you walk your dog around the block after 35 weeks

Explanation: 5 gallons = 640 fluid ounces Given paper, cup holds = 8 fluid ounces of water 1 sport jug = 5 gallons 3 sport jugs = 3 × 5 = 15 gallons 15 gallons = 1920 fluid ounces 8 × 240 = 1920 240 paper cups can fill 3 sports jug .

Understand the problem. Then make a plan. How will you solve? Explain.

Question 2. Newton pours water out of a filled 2-liter beaker. Now it only has 1,025 milliliters of water in it. How many milliliters of water did Newton pour out? Answer: Given newton pours water out of a filled beaker = 2 Liters

Explanation: Now it has water = 1,025 milliliters Convert 2 Liters to millimeters 2 liters = 2000 milliliters 2000 – 975 = 1,025 Newton pour out  975 millimeters of water

Question 3. You run 5 laps around a track. Each lap is 400 meters. How many total kilometers do you run? Answer: Given you run 5 laps around a track Each lap = 400 meters

Explanation: 5 × 400 = 2000 meters convert meters to kilometers 2000 meters = 2 kilometers Therefore you run 2 kilometers

Explanation: Convert 2.5 tons to pounds 2.5 tons = 5000 pounds Given works have total 30 bags 1 bag weight = 50 pounds 30 bags weight = 50 × 30 = 1500 pounds Given one worker weight = 150 pounds second worker weight = 210 pounds By adding all the values 1500 + 150 + 210 = 1860 pounds Yes, they can transfer themselves and all of the bags in the elevator once. Question 5. DIG DEEPER! You have 84 feet of streamers. You cut 24 pieces that are \(\frac{1}{2}\) each yard long. How many feet of streamers do you have left? Answer: Given steamers = 84 feet 24 pieces are 1/2 = 0.5 each yard long 24 × 0.5 = 12 yard long 12 yards = 36 feet 84 – 36 = 48 feet of streamers you have left .

Question 6. Writing Write and solve a two-step word problem involving units of measure.

Explanation: Convert 6 ft to yd 6 ft = 2 yd perimeter of rectangle = 2 (L + W) = 2(2 + 1 ) = 2(3) = 6 yd 6 yd of wallpaper border you need

Explanation: Take 2 gallons = $ 40 × 2 = 80 Given another lawn fertilizer 16 fluid ounces 2 gallons = $ 11 × 16 = 176 80 is the least amount of money that you can pay and have enough fertilizer 128 fluid ounces is cheap when compared to 16 fluid ounces.

Divide. Then check your answer.

Passenger airliners come in many different sizes. Plane A and Plane B are two different types of wide-body jet airliners.

Question 2. Before an airliner can take off, the pilot has to make sure it weighs less than the maximum takeoff weight. a. Plane A weighs 404,600 pounds and can carry at most 422,000 pounds of fuel. How many pounds can the airliner hold in passengers and cargo? b. The maximum landing weight of Plane A is 300,000 pounds less than the maximum takeoff weight. Why does an airliner weigh less at the end of a flight than at the beginning? c. Plane A uses 20 quarts of fuel for each mile it flies. How many gallons of fuel does the plane use during a 3,200-mile flight?

Directions:

• Players take turns.
• On your turn, place a counter on a yellow hexagon.
• Solve for the missing measurement and cover the answer with another counter. If you surround a monster, then put a counter on the monster. If you do not surround a monster, then your turn is over.
• Continue playing until all measurements are covered.
• The player who captures the most monsters wins!

11.1 Length in Metric Units

Question 1. 4 cm = __ mm Answer: 4 cm = 40 mm

Explanation: Convert from centimeter to millimeter 1 cm = 10 mm 4 cm = 4 × 10 mm = 40 mm multiply the cm value by 10

Question 2. 81 m = _8100__ cm Answer: 81 m = 8100 cm

Explanation: Convert from meter to centimeter. 1 m = 100 cm multiply the m value by 100 81 m = 81 × 100 cm = 8100 cm

Question 3. 0.56 km = _56000_ cm Answer: 0.56 km = 56000 cm

Explanation: Convert from kilometer to centimeter. Multiply the km value by 100000

Question 4. 9 mm = 0.009__ m Answer: 9 mm = 0.009 m Explanation:- Convert millimeter to meter. divide the mm value by 1000

11.2 Mass and Capacity in Metric Units

Question 8. 3 kg = _3000__ g Answer: 3 kg = 3000 g Explanation: Convert from kg to gram 1 kg = 1000 grams multiply the kg value by 1000 3 kg = 3 × 1000 gram = 3000 gram

Question 9. 0.006g = _6__ mg Answer: 0.006 g = 6 mg

Explanation: Convert from grams to milligrams multiply the g value by 1000

Question 10. 70 g = _0.07_ kg Answer: 70 g = 0.07 kg

Explanation: Convert from grams to kilograms divide the g value by1000

Question 11. 29,000 mg = _0.029_ kg Answer: 29,000 mg = 0.029 kg

Explanation: Convert from milligrams to kilograms divide the mg value by 1e + 6 29,000 mg = 0.029 kg

Question 12. 400 mL = _0.4_ L Answer: 400 mL = 0.4 L

Explanation: Convert from milliliters to liters divide the mL value by 1000

Question 13. 10 L = 10000 mL Answer: 10 L = 10000 mL

Explanation: Convert from liters to milliliters 1 L = 1000 ml 10 L = 10 × 1000 = 10000 mL multiply the L value by 1000

Question 14. 7 mL =0.007 L Answer: 7 mL = 0.007 L

Explanation: Convert from milliliters to liters divide the mL value by 1000 7 mL = 0.007 L

Question 15. 0.65 L = 650mL Answer: 0.65 L = 650 mL

Explanation: Convert from liters to milliliters 1 L = 1000 mL multiply the L value by 1000 0.65 L = 0.65 × 1000 = 650 mL So, 0.65 L = 650 mL

11.3 Length in Customary Units

Question 16. 2 mi = ___ yd Answer: 2 mi = 3520 yards

Explanation: Convert from miles to yards 1 mi = 1760 yards multiply the mi value by 1760 2 mi = 2 × 1760 yards = 3520 yards

Question 17. 14\(\frac{2}{3}\) yd = ___ ft Answer: 14 × 2/3 yd = 28 ft

Question 18. 103 in. = __ ft __ in. Answer: 103 in = 8 ft 7 in

Explanation: Convert from inches from feet. divide the 103 in value by 12

Question 19. 2,340 in. = yd Answer: 2,340 in = 65 yd

Explanation: Convert from inches to yards divide the 2,340 in value by 36

Explanation: Convert yards to feet. divide the 17 ft value by 3

Explanation: divide the in value by 12 5 ft 10 in = 70 in multiply the 5 ft 10 in value by 12

Weight in Customary Units

Question 24. 100,000 lb = ___ T Answer: 100,000 lb = 45.359237 T

Explanation: 100,000 lb × 0.00045359237 = 45.359237 T

Question 25. 217 oz = __ lb __ oz Answer: 217 oz = 13 lb 9 oz

Question 26. 956 oz = __ lb Answer:  956 oz = 59 lb

11.5 Capacity in Customary Units

Question 31. 18 qt = __ pt Answer: 18 qt = 29.9762706 pt

Explanation: 1qt equals to 1.6653484 pt 1.6653484 × 18pt = 29.9762706 pt

Explanation: 4 × 3/4c , by solving this we get 12/4c=3c from formula= 1c = 8 floz 3c = 8 fl oz × 3c = 24 floz

Question 33. 72 pt = __ gal Answer: 72 pt = 9 gal

Explanation: 1 pt = 0.125 gal 72 pt = 0.125 × 72 = 9 gal

Question 34. 81 qt = __ gal Answer: 81 qt = 20.25 gal

Explanation: 1 qt = 0.25 gallons 81 qt = 81 × 0.25 = 20.25 gal

Explanation: we have to find out pints of apple juice 0.5 gallons is equal to 4 pints from the formula multiply the gallon value (i.e., 0.5 with 8 = 0.5 × 8 = 4 pints) 11.6 Make and Interpret Line Plots

What is the most common amount of clay made? Answer: The most common amount of clay made is 3/4

11.7 Problem Solving: Measurement

Explanation: Given that a recipe calls for 2 × 3/4 = 0.5 cups of fava beans you have 1 × 1/4 pints = 0.5 cups of fava beans ( convert 1/4 pints to cups ) and 1/2 = 0.5 cups of cooked fava beans So, the recipe calls 0.5 cups of fava beans are equal to you have 0.5 cups of fava beans.

Question 1. Your friend estimates that a bookcase is 2\(\frac{1}{2}\) feet wide. The actual width is \(\frac{2}{3}\) foot longer. What is the width of the bookcase? Answer: 2 × 1/2 = 1 estimation feet 2/3 = 0.667 actual width feet 1 – 0.667 = 0.34

Explanation:  845 × 237 = 200,265

Explanation: 1 liter = 1000 mL 0.6 liter = 0.6L × 1000mL = 600mL

Explanation: 6 × 3/10 = multiply 6 with 3 we  get 18, denominator remains same so the answer is 18 × 1/10.

Explanation: It grows another foot = 1 so, 1 + 1 = 2 feet convert 2 feet to inches 2 feet = 24 inches So, the new length of the snake is 24 inches.

Explanation: The simplest form is nothing but if the top and bottom(i.e., numerator and denominator) have no common factors other than 1. 16/24 = solve it by 8 By solving we get 2/3.

Explanation: Given 30 yards of fabric rolls= 4 rolls/yards = 4/30 = 2/15yard

Explanation: Here we have to multiply the given number 96.3 × 42 96.3 ~ 100 (96.3 is the nearest value to 100) 42~40 (42 is the nearest value to 40) so, multiply both the values 100 × 40 = 4000

Answer: area of square =s×s 1/2 × 1/2 = 0.5 × 0.5 = 0.25 meters Part B There are 12 classes. What is the area of the entire mural? Explain. 12 × 0.25 = 3 meters

Explanation: we can find out the quotient value by this method quotient = Dividend ÷ divisor  (i.e., from the above question we are taking one value                                                                                      124.2 ÷ 27 = 4.6)

Question 13. You need thirty 5-foot pieces of string for a project. A store sells string by the yard. How many yards of string will you need to buy? Answer:- 11.655

Explanation: Given foot pieces = 35 1 foot = 0.333 yard 1 yard = 3 foot or 3 feet we have to find yards of string. foot pieces × yards = 35 × 0.333 = 11.655

Explanation: we have equated k value as 3/4 so, by solving 3/6 × 3/2 we get 3/4

Question 18. What is 40,071 written in word form? A. four thousand, seventy-one B. four hundred, seventy-one C. forty thousand, seventy-one D. forty thousand, seven hundred ten Answer: Option C

Forty thousand, seventy-one

Question 1. A 4 is the musical note commonly used to tune instruments. The frequency of A 4 is 440 Hertz, because the sound vibrates 440 times per second. a. The frequency of A 3 is \(\frac{1}{2}\) the frequency of A 4 . The frequency of A 2 is \(\frac{1}{2}\) the frequency of A 3 . What is the frequency of A 2 ? Answer: frequency of A 2 = 110 b. Is the pitch of A 2 higher or lower than the pitch of A 4 ? Explain. c. How can you use the frequency of A 4 to find the frequency of A 5 ? Explain. d. The frequency of B 4 is 493.88 Hertz. What is the frequency of B 3 ? e. A computer software program can correct the frequency of a sound so it has perfect pitch. A violin plays a note that has a frequency of 255.1 Hertz. Explain how to change the frequency so it has the pitch of B 3 .

Question 2. Use the Internet or some other resource to learn about how audio processors can help to correct a singer’s pitch, or to alter the way a song sounds. Write one interesting thing you learn. Answer: Auto-Tune is an audio processor introduced in 1997 by and registered trademark of Antares Audio Technologies, which uses a proprietary device to measure and alter pitch in vocal and instrumental music recording and performances. It was originally intended to correct off-key inaccuracies, allowing vocal tracks to be perfectly tuned despite originally being slightly off-pitch. Pitch correction is an electronic effects unit or audio software that changes the highness and lowness in pitch of an audio signal so that all pitches will be notes from the equally tempered system(i.e., like the pitches on a piano). Pitch correction first detects the pitch of an audio signal (using a live pitch detection algorithm), then calculates the desired change and modifies the audio signal accordingly. The widest use of pitch corrector devices is in western popular music on vocal lines.

Conclusion:

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