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Copyright 2011 by SM c Curriculum LLC. All rights reserved. Printed in the USA. This publication is protected by copyright. No part of this publication should be reproduced or transmitted in any form or by any means without prior written consent of the publisher. This includes, but is not limited to, electronic reproduction, storage in a retrieval system, photocopying, recording or broadcasting for distance learning. For information regarding permission(s), call SM c Curriculum s Permissions Department: 1-800-708-5259. ISBN: 978-1-935033-81-3 1 2 3 4 5 6 7 8 9 10 ii B2

Table of Contents Digging Into Decimals Lesson Title Page 1 Understanding Decimals 1 2 Writing Decimals as Fractions 7 3 Fraction and Decimal Models 12 4 Decimals and Common Fractions 18 5 Comparing Decimals 24 6 Comparing Decimals and Fractions 30 7 Estimating with Fractions and Decimals 36 8 Decimals and Money 42 Multiple Choice Assessment 49 Free Response Assessment 52 Open-Ended Assessment 55 Glossary 57 B2 Table Of Contents iii

Understanding Decimals Lesson 1 VOCABULARY TARGET decimal number I can read and write decimal numbers. A decimal number is a base-ten number written with a decimal point. A decimal number has two parts: a whole number on the left of the decimal point and a part of a whole to the right of the decimal point. 1.75 quarts 0.3 pounds 14.1 centimeters Each of the measurements above are decimal numbers. The position of each digit in the decimal number determines how large the decimal number is. hundreds tens ones tenths hundredths 1 7 5 B2 Lesson 1 Understanding Decimals 1

The pitcher of juice contains 1 whole quart, 7 tenths of a quart and 5 hundredths of a quart. You can use models to show this decimal number measurement: 1 whole + + + 7 tenths + 5 hundredths The apple weighs 0.3 pounds. Shade in the model to show this amount. + 0 whole + 3 tenths To write and read decimals in word form, separate the whole number from the part of a whole using the word and. The decimal point is read as and. 14.1 centimeters tens ones tenths 1 4 1 hundredths Fourteen and one tenth tens ones tenths hundredths 3.7 kilograms 3 7 and 2 Understanding Decimals B2 Lesson 1

If a decimal number has digits to the right of the tenths place, read the number using the last place value to the right of the decimal point. 4.25 feet tens ones tenths hundredths 4 2 5 Four and twenty-five hundredths tens ones tenths hundredths 12.34 cm and Sarah s dog weighs thirteen and nine tenths pounds. This can be written as a decimal number. tens ones tenths 1 3 9 hundredths = 13.9 pounds Write each of the word phrases as a decimal number. five and two tenths thirty and sixteen hundredths two and four hundredths B2 Lesson 1 Understanding Decimals 3

Practice Name: Practice 1. Circle each of the values written as a decimal number. 1.25 0.4 6 0.83 4_ 5 2. Shade in the model to show 2.17. + + + 1 whole 1 whole 1 tenth 7 hundredths 3. Look at the height of the bird. Fill the decimal number into the chart. tens ones tenths hundredths 9.42 cm Write the height in words. and cm 4 Understanding Decimals B2 Lesson 1

4. Write each of the word phrases as a decimal number. Two tenths = Three and five tenths = One and fourteen hundredths = Ten and six hundredths = 5. Write each decimal number as a word phrase. 2.7 = 0.91 = 3.05 = 6. Match the numbers to their word phrases. 0.8 eight hundred 80 eight tenths 0.08 eighty 800 eight hundredths B2 Lesson 1 Understanding Decimals 5

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Which digit is in the tenths place in the number 12.35? 3. The model below shows which number? A 1 C 3 B 2 D 5 2. Which number represents two and seventeen hundredths? A 217 C 2.017 B 2.17 D 2.0017 A 4.3 B 4.03 C 3.4 D 3.04 Solve each problem. Show all work. 4. Sarah s pencil was 6.25 inches long. Fill the length into the chart AND write the length in words. 5. Colin s dog weighed seven and nine hundredths pounds. Write the dog s weight as a decimal number. tens ones tenths hundredths and 6 Understanding Decimals B2 Lesson 1

Writing Decimals as Fractions Lesson 2 VOCABULARY TARGET mixed number I can write a decimal number in fraction form. A decimal point separates the part of a whole from the whole number. whole number 3.6 part of a whole 3.6 can also be shown using models. 3 6 10 3.6 = three and six tenths = 3 6 3 6 10 is called a mixed number. 10 B2 Lesson 2 Writing Decimals As Fractions 7

Every decimal number can be written as a fraction or mixed number. A mixed number has a whole number part plus a fractional part. 1.25 = one and twenty-five hundredths = 1 25 100 2.4 = two and four tenths = 3.81 = three and eighty-one hundredths = 5.9 = = Decimal numbers can be represented by pictures, words and fractions. The examples below show how you can change from one form to another. 0.3 = = three tenths = 3 10 1.12 = = one and twelve hundredths = 1 12 100 2.8 = = = = = = = = = 1 2 10 8 Writing Decimals As Fractions B2 Lesson 2

Each measurement below can be written as a decimal number and a mixed number. liters 2 1 = 1.3 liters = 1 3 10 liters 0 1 2 3 centimeters = centimeters = 2 7 10 centimeters 1 2 kilograms = kilograms = kilograms liters 2 1 = 1.9 liters = liters B2 Lesson 2 Writing Decimals As Fractions 9

Practice Name: Practice 1. Write each decimal number as a fraction. 0.7 = 0.32 = 0.4 = 2. Write each decimal number as a mixed number. 1.5 = 4.9 = 2.81 = 3. Jill s dog weighs five and six tenths pounds. Circle the two numbers that show the dog s weight. 5.06 5 6 10 5 6 100 5.6 4. Fill in the missing information in the boxes. Decimal Number Model Words Fraction or Mixed Number 0.4 one and six tenths 10 Writing Decimals As Fractions B2 Lesson 2

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Which fraction represents 0.4? A 1 40 C 1 4 B 4 100 D 4 10 2. Which of the following is 1.39 as a mixed number? A 1 3 9 C 1 39 100 B 1 30 90 D 1 39 10 3. Yolanda has five and seventenths yards of ribbon. Which of the following DOES NOT represent the amount of ribbon? A 5 7 100 B 5.7 C 5 7 10 D five and seven tenths Solve each problem. Show all work. 4. Write 2.6 as a mixed number. 5. Write eight tenths as a fraction and a decimal number. B2 Lesson 2 Writing Decimals As Fractions 11

Fraction and Decimal Models Lesson 3 VOCABULARY TARGET equivalent numbers I can use models to connect equivalent fractions and decimals. In the last lesson you learned how to write fractions for decimal numbers. Each fraction had a denominator of 10 or 100 representing tenths or hundredths. Fill in the fraction that is equal to the decimal given in each oval. 0.6 = 0.82 = 3.15 = 4.9 = Every fraction has an equivalent decimal number. Equivalent numbers are two numbers that have equal values. Each pair of numbers in the ovals shown above are equivalent numbers. Jake has _ 1 of a candy bar. He wants to know what decimal number represents the 2 amount of candy bar he has. He uses a model. 1 out of 2 = 1 _ 2 12 Fraction And Decimal Models B2 Lesson 3

In order to write _ 1 as a decimal number, it is best to split his model into ten equalsized pieces. This is because parts of wholes in decimal numbers are written as 2 tenths, hundredths, thousandths, etc. 1_ 2 5 10 1_ 2 5 = 5 5 10 The fraction 5 can be written as 0.5. Jake has 0.5 of a candy bar. 10 1_ 2 = 5 10 = 0.5 Nelly has _ 3 5 of her fence painted. How does she write _ 3 5 as a decimal number? In order to write _ 3 as a decimal number, she can separate her 5 model into tenths. To get 10 equal-sized parts of fence she will need to split each of the five boards in half to create 10 total parts. She has painted 10 multiplication. of the fence. Check your answer with 2 3_ 5 = 10 2 The denominator of the new fraction is tenth so it can be written as a decimal number. 6 10 = B2 Lesson 3 Fraction And Decimal Models 13

Some fractions cannot be written with a denominator of 10. In order to write the fraction as a decimal number, you may need a denominator of 100, 1000 or even 10,000. Look at _ 1 as an example. 4 = 1 4 25 = 25 25 100 1 4 = What is _ 3 as a decimal number? 4 = 3_ 4 = 100 = decimal number new fraction 14 Fraction And Decimal Models B2 Lesson 3

Practice Name: Practice Use the models to find the decimal number for each fraction. 1. Shade 2 5 of the model. Shade enough hundredths in the model to be equal to 2 5. What fraction of the second model is shaded? Which decimal number is equivalent to 2 5? 2. Shade in 1 2 of the model. Shade in enough tenths in the model to be equal to 1 2. What fraction of the second model is shaded? Which decimal number is equivalent to 1 2? B2 Lesson 3 Fraction And Decimal Models 15

3. Shade in 2 4 of the model. Shade in enough hundredths in the model to be equal to 2 4. What fraction of the second model is shaded? Which decimal number is equivalent to 2 4? 4. The second model in each problem has 10 or 100 total sections. Why is this important if you want to write a decimal number? 16 Fraction And Decimal Models B2 Lesson 3

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Which decimal number is equivalent to 1 _ 2? A 1.2 C 0.2 B 0.5 D 0.12 2. Use the model below. Two-fifths is the same as which decimal number? 3. Which of the following values is equivalent to 0.6? A 0.06 B 6 100 C 6 10 D 6 A 4 C 0.4 B 2.5 D 0.2 Solve each problem. Show all work. 4. Shade the model to show _ 4 5. 5. Shade the model to show Write _ 4 1_ 5 as a decimal number. 4. Write _ 1 as a decimal number. 4 B2 Lesson 3 Fraction And Decimal Models 17

Decimals and Common Fractions Lesson 4 VOCABULARY TARGET common fraction I can write decimal numbers that are equal to common fractions. Hannah ate _ 3 4 of her strawberries. Micah has _ 1 of a bag of pretzels. 2 Marco ran 2 _ 3 1 of a mile. Jill ate of the pie. 10 0 1 mile Each fraction above is a common fraction. Common fractions are fractions that appear often in real-world situations. Some of the most common fractions have denominators of 2, 3, 4, 5 or 10. In this lesson, you will discover the decimal values for common fractions. 18 Decimals And Common Fractions B2 Lesson 4

Halves denominator of 2 Using a model: = Using numbers: 1_ 2 = 5 10 = 0.5 Fourths denominator of 4 Using a model: = Using numbers: 1_ 4 = 25 100 = 0.25 2_ 4 = 100 = 3_ 4 = = Thirds denominator of 3 Some fractions, such as thirds, have equivalent decimal numbers that repeat. This means that the digits after the decimal point never stop. Look at the model below. 1_ is a little more than 3 (or 0.3) but not 4 3 10 10 (0.4). The decimal number equivalent of _ 1 3 = 0.3333. The... means the threes go on forever. Similar to _ 1 3, the fraction _ 2 = 0.666... The approximations shown 3 in the boxes are used most often for _ 1 3 and _ 2 3. 1_ 3 0.33 2_ 3 0.67 B2 Lesson 4 Decimals And Common Fractions 19

Fifths - denominator of 5 Find the decimal equivalent of each fraction by following the steps shown in the first box. _ 1 5 1_ 5 = 2 10 = 0.2 2 5 2 5 = = 4 = = 5 3 5 = = Tenths - denominator of 10 The last type of common fraction in this lesson has a denominator of 10. Since the first place after a decimal point is tenths, the numerator is the value in the tenths place. 1 10 = 0.1 2 10 = 0.2 3 10 = 4 10 = 5 10 = 6 Summary: = 7 = 8 = 9 10 10 10 10 = Fractions 1_ 2 1 _ 3 _ 2 3 _ 1 4 _ 2 4 _ 3 4 _ 1 5 _ 2 5 _ 3 5 _ 4 5 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 Decimal Numbers 0.5 0.33 0.67 0.25 0.50 0.75 0.2 0.4 0.6 0.8 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 Halves Thirds Fourths Fifths Tenths 20 Decimals And Common Fractions B2 Lesson 4

Practice Name: Practice 1. Draw a line to connect each common fraction with its equivalent or approximate decimal number. 1_ 2 0.4 3_ 4 0.7 1_ 3 0.5 2_ 5 0.33 1_ 4 0.75 7 10 0.25 2. Fill in each box with the equivalent or approximate decimal number. Fill in each oval with the fraction equivalent to the number given. a. Sara ate 0.25 of a carrot. Sara ate of a carrot. b. Paul washed _ 3 of the laundry. Paul washed of the laundry. 5 c. Kylie sang _ 2 of a song. Kylie sang approximately of a song. 3 d. Max ran 0.3 of a mile. Max ran of a mile. B2 Lesson 4 Decimals And Common Fractions 21

3. Fill in the missing values in the chart. Fraction 1 4 4 10 2 1 4 5 Decimal Number 0.1 0.33 0.75 4. What does it mean if two numbers are equivalent? 5. Give an example of two equivalent numbers. 6. Which three common fractions in this lesson are equivalent to 0.5? 22 Decimals And Common Fractions B2 Lesson 4

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Karen ran _ 2 of a mile. Which 3 of the following is true? A Karen ran about 0.23 miles. B Karen ran about 0.33 miles. C Karen ran about 0.67 miles. D Karen ran about 2.3 miles. 2. Which fraction is equivalent to 0.25? 3. Which symbol fits in the? A = B C > D < 1 _ 3 0.33 A 1 _ 4 C 1 2 B 2 5 D 5 _ 2 Solve each problem. Show all work. 4. What decimal number is 5. Match the decimal numbers to equivalent to _ 3 4? their fraction equivalents. 0.5 1 _ 4 0.8 1 _ 2 0.25 4 5 B2 Lesson 4 Decimals And Common Fractions 23

Comparing Decimals TARGET Lesson 5 I can compare two or more decimal numbers. Comparing decimal numbers is like comparing whole numbers. You can use models, number lines or place values to compare decimal numbers. Decimal numbers that do not have the same number of digits to the right of the decimal point can be compared by inserting zeros to hold place value. = 0.4 = 0.40 Comparing Decimals Using Models Karen bought 0.6 pounds of bananas. Myrell bought 0.8 pounds of apples. Who bought more pounds of fruit? Karen < Myrell 0.6 0.8 Myrell bought more pounds of fruit than Karen. 24 Comparing Decimals B2 Lesson 5

Larry bought 0.57 pounds of fruit. Did he buy more or fewer pounds of fruit than Karen? Karen Larry 0.60 0.57 Larry bought fewer pounds of fruit than Karen. Comparing Decimals Using Number Lines Number lines are very useful when comparing decimals. The numbers on a number line get larger from left to right. > 0 1 2 3 4 5 6 7 8 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 small large 1 Listed below are the amounts three girls hair grew in one month: Sarah 0.2 centimeters Paula 0.13 centimeters Ana 0.24 centimeters Order the names from least to greatest hair growth. P S A 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Fill in the girl s name whose hair grew least to greatest (left to right). B2 Lesson 5 Comparing Decimals 25

Comparing Decimals Using Place Value Decimal numbers can also be compared using place value. Compare the numbers 3.65, 3 and 3.8. Order the numbers from least to greatest. Step 1: Add zeros at the end of the 3.65 decimal numbers so that all 3.00 numbers end with a digit 3.80 at the same place value. Step 2: Compare each place 3.65 3.65 - middle value starting at the 3.00 3.00 - smallest far left. 3.80 3.80 - largest Step 3: Order the numbers from least to greatest.,, You can show a comparison between numbers using >, < or = symbols. Math Symbols > greater than < less than = equal to Symbols Words 0.23 > 0.21 0.23 is greater than 0.21 0.4 < 0.5 0.4 is less than 0.5 1.9 = 1.90 1.9 is equal to 1.90 Compare each pair of numbers using the math symbols. Symbols 0.8 0.9 Words 2.4 2.40 1.6 1.55 26 Comparing Decimals B2 Lesson 5

Practice Name: Practice Shade each model to show the decimal number below it. Fill in the circle with >, < or =. 1. 2. 0.4 0.7 0.25 0.2 Use the number line from 0 to 1 to answer the questions below. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 3. Put an A above the mark that shows 0.6. 4. Put a B above the mark that shows 0.90. 5. Put a C above the location where 0.75 can be found. 6. Write 0.6, 0.90 and 0.75 in order from least to greatest. B2 Lesson 5 Comparing Decimals 27

7. Circle the largest number below. Put a rectangle around the smallest number. 0.34 0.4 0.27 0.3 8. Zane has 0.9 pounds of fruit. Lacey has 0.75 pounds of fruit. Who has more fruit? 9. Compare each of the following using >, < or =. Symbols 0.4 0.5 Words 1.3 1.32 0.3 0.30 2 2.01 10. Matt has 1.4 ounces of gold. Jill has 1.55 ounces of gold. Leslie has 1.36 ounces of gold. Order the names from least to greatest amounts of gold. 28 Comparing Decimals B2 Lesson 5

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Which of the following statements is true? A 0.35 < 0.4 B 0.35 = 0.4 C 0.35 0.4 D 0.35 > 0.4 2. Which number is the largest? A 0.6 C 0.64 3. Kim has 2.7 pounds of paper. Larry has 2.59 pounds of paper and Mike has 2.75 pounds of paper. Who has the LEAST pounds of paper? A Kim B Larry C Mike D They all have the same amount of paper. B 0.60 D 0.68 Solve each problem. Show all work. 4. List the numbers below from smallest to largest. 0.8 0.72 0.76,, 5. Compare each pair of numbers using >, < or =. 4.6 4.60 0.28 0.3 6.9 6.09 B2 Lesson 5 Comparing Decimals 29

Comparing Decimals and Fractions TARGET Lesson 6 I can compare and order decimal numbers and fractions. You can compare decimals and fractions by turning them into the same form. In this lesson, you will change fractions into their decimal form before comparing. In Lesson 4, you learned the decimal equivalence of common fractions. Use what you learned to complete the table below. Common Fractions to Decimals HALVES THIRDS FOURTHS FIFTHS TENTHS 1 2 = 1 3 1 4 = 1 5 = 1 10 = 6 10 = 2 3 2 4 = 2 5 = 2 10 = 7 10 = 3 4 = 3 5 = 3 10 = 8 10 = 4 5 = 4 10 = 9 10 = 5 10 = 30 Comparing Decimals And Fractions B2 Lesson 6

Laura planted two flowers. Laura measured how much her flowers grew in one week. The daisy grew 0.4 of an inch. The tulip grew _ 1 3 of an inch. Which flower grew more? Step 1: Change the fraction to a decimal number. 1_ 3 0.33 Step 2: Compare the two decimals numbers. 0.4 0.33 0.40 > 0.33 Step 3: Write the comparison using 0.4 > 1 _ 3 the original numbers. Compare 0.75 and 4 _ 5. The daisy grew more than the tulip. Step 1: Change the fraction to a decimal number. 4 _ 5 = Step 2: Compare the two decimal numbers. 0.75 Step 3: Write the comparison using the 0.75 original numbers. 4_ 5 0.75 is than 4 _ 5. Mixed numbers can be written as decimal numbers, too. To change a mixed number to a decimal number: (1) rewrite the whole number, (2) write the decimal number that is equivalent to the fractional part after the decimal point. 4 1 _ 5 = 4.2 6 3 _ 4 =. B2 Lesson 6 Comparing Decimals And Fractions 31

Sometimes you have to compare more than two numbers and list them in order. Follow the same three steps as you did previously in this lesson. Different types of cookies use different amounts of flour to make one batch. Order the amounts of flour needed for each type of cookie from least to greatest. Cups of flour in cookies Chocolate Chip 2 1 _ 4 Oatmeal 1 9 10 Peanut Butter Sugar 1 1 _ 2 2 1 _ 3 Step 1: Change the mixed numbers to decimal numbers. Chocolate Chip Cups of flour in cookies 2 1 _ 4 2.25 Oatmeal 1 9 10 1. Peanut Butter Sugar 1 1 _ 2 2 1 _ 3 Step 2: List the decimal measurements from least to greatest.,,, Step 3: Rewrite the ordered measurements using the original numbers.,,, least flour most flour 32 Comparing Decimals And Fractions B2 Lesson 6

Practice Name: Practice 1. Tom had _ 4 of a bag of popcorn. Mindy had 7 of a bag of popcorn. 5 10 Who had more popcorn? Step 1: Write each fraction as a decimal number. 4_ 5 = 7 10 = Step 2: Compare the decimal numbers. Use >, < or =. Step 3: Write the comparison with the original fractions. 2. Compare 0.63 and 2 _ 3. Step 1: Write the decimal approximation for the fraction 2 _ 3. 2_ 3 Step 2: Compare the decimal numbers. Use >, < or =. 0.63 Step 3: Write the comparison using the original numbers. B2 Lesson 6 Comparing Decimals And Fractions 33

3. Compare each of the following. Show your work. 3_ 4 0.8 5 10 _ 2 4 4. Compare each set of mixed numbers. Show your work. _ 1 1 2 1 _ 4 1 3 _ 1 3 3 4 10 5. Stardance had four kittens. List the kittens weights from lightest to heaviest. Kitten s Name Splotch Weight (pounds) 1 1 _ 2 Weight as decimal number Timmy 1 9 10 Cutie Shadow 1 1 _ 3 1 3 _ 4 lightest heaviest 34 Comparing Decimals And Fractions B2 Lesson 6

Skill Check Name: Fill in the circle for the letter with the best answer. Skill Check 1. Which of the following statements is true? A 0.25 < 2 _ 5 B 0.25 = 2 5 C 0.25 2 5 D 0.25 > 5 2 2. Which number is the smallest? A 0.3 C 0.5 3. Sam the Hamster weighs 7 1 _ 3 ounces. Mindy the Mouse weighs 7.4 ounces. Which statement is true? A Sam weighs more than Mindy. B Sam weighs less than Mindy. C Sam weighs the same as Mindy. D Not enough information. B 1 3 D 3 _ 4 Solve each problem. Show all work. 4. List the numbers below from least to greatest. 1.2 1 1 _ 2 1 1 _ 4 1.02 5. Compare each pair of numbers using >, < or =. 1 _ 2 0.6 3 4 0.7,,, 2 10 _ 1 5 B2 Lesson 6 Comparing Decimals And Fractions 35

Estimating with Fractions and Decimals TARGET Lesson 7 I can solve problems by estimating fraction and decimal amounts. It is important to be able to estimate with fractions and decimals. Estimating helps you do math in your head quickly. One way to estimate is to round to the nearest benchmark. Benchmarks are numbers that are easy to work with. Estimating with Fractions Fractions less than 1 have a numerator smaller than the denominator. Fractions less than 1 can be estimated by rounding them to the benchmarks 0, _ 1 and 1. 2 2 10 0 5 12 _ 1 2 19 20 1 2 10 5 12 19 20 0 1_ 1 2 36 Estimating With Fractions And Decimals B2 Lesson 7

Estimating with Mixed Numbers When estimating with mixed numbers, you should round to the nearest whole number. If the fraction is less than _ 1, round down to the nearest whole number. 2 If the fraction is greater than or equal to _ 1, round up to the nearest whole 2 number. Latrelle went to the store and bought the following: 1 _ 1 3 pounds bananas 2 _ 3 4 pounds apples 5 3 1 3 _ 6 12 pounds grapes pounds potatoes About how many pounds of fruits and vegetables did Latrelle buy? Determine which two whole numbers each weight is between. 1 _ 1 is between 1 and 2. 3 2 _ 3 is between and. 4 1 _ 3 is between and. 6 3 5 is between and. 12 Look at each of the weights above. Circle the whole number above that each weight rounds to. For example, 1 _ 1 is between 1 and 2. 3 Add all your rounded weights (whole numbers) together to estimate the total weight. Latrelle bought about + + + = pounds pounds of fruit and vegetables. B2 Lesson 7 Estimating With Fractions And Decimals 37

Estimating with Decimal Numbers Estimating with decimal numbers is just like estimating with fractions and mixed numbers. If the decimal number is less than 1, round to 0, 0.5 or 1. 0.1 0 0.62 0.5 0.87 1 < < < If the decimal number is larger than 1, round to the nearest whole number. 3.24 3 9.5 10 6.8 7 < < < Sammy the Poodle weighs 8.31 kilograms. Jack the Pug weighs 4.9 kilograms. About how much more does Sammy weigh than Jack? Round each number to the nearest whole number. 8.31 rounds to 4.9 rounds to Subtract to determine how much bigger one number is than the other. = Sammy weighs about kilograms more than Jack. 38 Estimating With Fractions And Decimals B2 Lesson 7

Practice Name: Practice 1. Fill in the table with the rules for estimating with fractions and decimals. Estimating Rules Fractions & Decimals Less Than 1 Fractions: Round to, or. Decimals: Round to, or. Mixed Numbers & Decimals More Than 1 Round to the nearest. 2. Circle numbers that round to zero. Put a rectangle around numbers that round to 1_ Put a triangle 2. around numbers that round to 1. 9 10 0.4 1_ 7 0.12 5_ 9 0.8 3. Round each mixed number to the nearest whole number. 1 9 3 4 10 4 _ 1 5 7 _ 3 13 6 B2 Lesson 7 Estimating With Fractions And Decimals 39

4. Carrie sells bags of fudge. She wants to figure out approximately how much fudge she has in four bags. Help her through the steps. Use the table to round the values. Find the sum of the approximate weights. + + + = Weight of bag (pounds) 5 2 _ 7 3 15 16 4 1 _ 2 1 3 _ 5 Approximate weight 5. Round each decimal number to the nearest whole number. 9.4 5.57 6.08 2.5 6. Jenny wants to buy three toys for her baby brother. The toys cost $3.29, $7.45 and $5.89. Approximately how much will all three toys cost together? Round each amount to the nearest dollar. $3.29 $7.45 $5.89 Find the approximate total of all three toys. Jenny has a $20 bill. Approximately how many dollars will she have left after buying the toys? 40 Estimating With Fractions And Decimals B2 Lesson 7

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Gary bought 5.2 pounds of apples, 2.75 pounds of bananas and 1.9 pounds of pears. About how many pounds of fruit did he buy? A 8 pounds B 9 pounds C 10 pounds D 11 pounds 2. Which of the following amounts would NOT round to 4? 3. Rynesha lost 3 _ 1 pounds in May, 6 9 3 10 pounds in June and 8 7 _ 8 pounds in July. About how much weight did she lose in all? A 12 pounds B 20 pounds C 21 pounds D 23 pounds A 4.1 C 4.45 B 4 1 7 D 4 1 2 Solve each problem. Show all work. 4. Tracy recorded how much she ran for 4 days. About how many miles did she run in all? 5. Circle the numbers that round to 1. Put a rectangle around the numbers that round to 1 _ 2. Monday Tuesday Wednesday Thursday 4.1 miles 2.5 miles 1.8 miles 3.2 miles 0.6 0.8 0.28 _ 4 5 _ 4 9 7 13 B2 Lesson 7 Estimating With Fractions And Decimals 41

Decimals and Money TARGET Lesson 8 I can solve problems with money amounts to $10. Penny Nickel Dime Quarter Coin Value using cents ( ) 1 5 10 25 Value using dollars ($) $0.01 $0.05 $0.10 $0.25 Money is represented using decimal numbers when the dollar sign ($) is used. The value of dollar bills are written as whole numbers. When a money amount includes coins, the value of the coins is written as a decimal number with digits to the hundredths place. Dollar Bills Dimes Pennies $5 $1 0.10 0.10 0.10 0.01 0.01 Total Amount = $6.32 42 Decimals And Money B2 Lesson 8

You can write money amounts as words or decimal numbers. Words Decimal Number one dollar and forty cents $1.40 three dollars and sixteen cents $5.07 You can also name money amounts by looking at the bills and coins and writing it as a decimal number. $5 25 5 1 $1 $1 10 10 10 10 10 1 1 1 $1 $1 $1 25 25 $. $. When purchasing items at the store, you must make sure you have enough money. You can do this by comparing the amount of money you have with the price. If you have more than the price, you have enough money. You have $3.50 Can you buy..? $3.50 < $3.75 $3.50 is less than $3.75 You cannot buy the bear. You have $9.25 Can you buy..? $9.25 $9.19 $9.25 is than $9.19 You buy the bat and ball. B2 Lesson 8 Decimals And Money 43

Laney, Michelle and Paul compare how much money they earned for doing their chores last week. Laney $4.80 Michelle $3.95 Paul $4.00 Who earned the most? Who earned the least? Sometimes you may not have exact change to buy an item. If this is the case, you must give the cashier more than the item costs. In order to get the least amount of change, give the cashier an amount that is close to the cost but not below the cost. Circle the amount that would be the best amount to give the cashier to purchase each item. Your goal is to get the least amount of change. $1.40 $1.50 $1.75 $2.00 $7.00 $7.50 $8.00 $10.00 $3.00 $3.75 $4.00 $4.80 44 Decimals And Money B2 Lesson 8

Practice Name: Practice 1. Write the decimal number for each coin or collection of coins. 1 = $ 5 1 1 1 = $ 5 = $ 25 10 5 = $ 10 = $ 25 25 5 1 = $ 25 = $ 25 10 10 1 1 = $ 2. Fill in the blanks in the table. Words Decimal Number one dollar and ten cents $2.30 four dollars and ninety-two cents 3. Write each money amount using a decimal number. $1 $1 25 5 1 = $. $5 $1 1 1 1 = $. B2 Lesson 8 Decimals And Money 45

4. Circle YES or NO in the last column. You have... The item costs... Can you buy it? $5.75 YES NO $8.00 YES NO $9.50 YES NO 5. Circle the amount that you would give a cashier to buy each item to get the least amount of change back. $8.50 $8.75 $9.00 $5.00 $5.50 $6.00 $1.25 $1.50 $2.00 46 Decimals And Money B2 Lesson 8

Skill Check Name: Skill Check Fill in the circle for the letter with the best answer. 1. Kyle has one quarter, two dimes and three pennies. How much money does he have? A $0.75 C $0.48 B $0.50 D $0.33 2. Jenny has $5.50. An item at the store is priced at $5.39. Which best describes the situation? A Jenny does not have enough money to buy the item. 3. Which of the following does NOT equal $0.77? A 3 quarters and 2 pennies B 2 quarters, 2 dimes and 7 pennies C 7 dimes, 1 nickel and 2 pennies D 2 quarters, 4 nickels and 2 pennies B Jenny has the exact amount of money to buy the item. C Jenny can buy the item and will get less than $1 in change. D Jenny can buy the item and will get more than $1 in change. B2 Lesson 8 Decimals And Money 47

Skill Check Solve each problem. Show all work. Skill Check 4. Describe two different ways to make $0.45. 5. William wants to buy a T-shirt. It costs $9.78. He has one $5 bill, four $1 bills and one $10 bill. What should he give the cashier to get the least change back? 48 Decimals And Money B2 Lesson 8

Multiple Choice test Name: Fill in the circle for the letter with the best answer. 1. Which digit is in the hundredths place in the number 312.58? A 1 C 5 4. Which mixed number is equivalent to 2.15? A 2 _ 1 5 C 2 15 10 B 3 D 8 2. Which number represents four and eight hundredths? A 4.08 C 48 B 2 15 100 D 215 5. What is the value of 1 _ number? 4 10 A 1.4 C 0.25 as a decimal B 4.8 D 408 B 0.4 D 0.14 3. Which fraction represents 0.7? A 1 70 C _ 1 7 6. Use the model below. Four-fifths is equivalent to which decimal number? B 7 10 100 D 7 A 4 C 0.8 B 1.4 D 0.4 B2 Test Multiple Choice 49

7. Tom walked 1 of a mile. Which 3 of the following is true? A Tom walked about 0.13 miles. B Tom walked about 0.33 miles. C Tom walked about 0.67 miles. D Tom walked about 1.3 miles. 8. Which fraction is equivalent to 0.75? A 1 _ 4 C 3 _ 4 B 5 _ 7 D 7 _ 5 10. Peter has 1.37 pounds of rice. Will has 1.3 pounds and Katie has 1.4 pounds. Who has the LEAST pounds of rice? A Peter B Will C Katie D They all have the same amount of rice. 11. Which of the following statements is true? A 0.5 > 3 _ 5 C 0.5 3 _ 5 B 0.5 = 3 _ 5 D 0.5 < 3 _ 5 9. Which number is the largest? A 0.04 C 0.5 B 0.3 D 0.51 12. Louis the Cat weighs 8 1 _ 4 pounds. Minnie the Dog weighs 8.1 pounds. Which statement is true? A Louis weighs more than Minnie. B Louis weighs less than Minnie. C Louis weighs the same as Minnie. D Not enough information to tell. 50 Multiple Choice B2 Test

13. Which of the following amounts would NOT round to 2? A 1 3 _ 4 B 2 7 _ 8 C 2.1 D 2.4 15. Quinn has two quarters, one nickel, one dime and two pennies. How much money does she have? A $0.60 B $0.67 C $1.07 D $6.70 14. Chris ran 2 1 _ miles on Monday, 5 5 7 10 miles on Tuesday and 4 6 _ 7 miles on Wednesday. About how many miles did he run in all? A 11 miles B 12 miles C 13 miles D 14 miles 16. Which of the following does NOT equal $0.38? A 1 quarter, 1 dime and 3 pennies B 1 quarter, 1 nickel and 8 pennies C 3 dimes and 3 pennies D 3 dimes, 1 nickel and 3 pennies B2 Test Multiple Choice 51

Free Response test Name: Show all work. 1. Karyn jumped a length of 3.17 meters. Fill the length into the chart AND write out the length in words. tens ones tenths hundredths 2. Write twelve and twenty-eight hundredths as a decimal number. 3. Write 3.7 as a mixed number. 4. Write three-tenths as a fraction and a decimal number. 52 Free Response B2 Test

5. Use the models below to write _ 1 as a decimal number. 5 6. Connect the decimal numbers to their fraction equivalents. 0.4 3 _ 4 0.5 2 _ 5 0.75 1 _ 2 7. Compare each pair of numbers using >, < or =. 3.1 3.09 0.7 0.70 1_ 2 0.45 6 10 3 _ 4 B2 Test Free Response 53

8. List the numbers below from least to greatest. 0.6 1 3 1.25 9 10 10 9. Oscar recorded how much weight his puppy gained each month for three months. About how many pounds did the puppy gain in all? MONTH POUNDS January 3.2 February 1.6 March 0.9 10. Describe two different ways to make $0.60 using coins. 11. Joy wants to buy a pair of sandals. They cost $7.47. She has one $5 bill, five $1 bills and one $10 bill. What should she give the cashier to get the least change? 54 Free Response B2 Test

Open - Ended test after Lesson 4 Name: The table below shows the amount of inches each person s hair grew in one month. Whose hair did not grow the same amount as anyone else? NAME Wyatt Krista INCHES GROWN six tenths 1 _ 4 Nate 0.5 Tarren Lisa 3 _ 5 twenty-five hundredths B2 Test Open - Ended 55

Open - Ended test after Lesson 8 Name: Greg bought 0.6 pounds of trail mix. Jill bought _ 4 pounds of trail mix. Oliver 5 bought more trail mix than Greg but less than Jill. Write a fraction and a decimal that could each represent how much trail mix Oliver might have bought. 56 Open - Ended B2 Test

common fraction decimal number equivalent numbers Glossary Fractions that appear often in real-world situations. Some of the most common fractions have denominators of 2, 3, 4, 5 or 10. A base-ten number written with a decimal point. Numbers that represent the same value. mixed number A number with a whole number part and a fractional part. B2 Glossary 57

ISBN: 978-1-935033-81-3