Name Use Models 5.3 to Multiply Learning Target ... - Weebly

Name

Learning Target: Use models to multiply decimals

and whole numbers.

Success Criteria:

? I can use a model to represent a decimal. ? I can explain the relationship between addition and

multiplication. ? I can use a model to find the product of a decimal and

a whole number.

5.3 Use Models

to Multiply Decimals and Whole Numbers

Complete the table. Expression

Explore and Grow

0.2 ? 4

0.15 ? 3

Model

Repeated Addition Value

Structure How does the relationship between addition and multiplication help you find each product?

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Chapter 5 Lesson 3

187

Think and Grow: UnsedeMrsotdaenlds MtouMltiupllticipaltyivDeeCcoimmaplasraisnodn

Whole Numbers

Example Find 0.23 ? 3. Use a model. Shade 3 groups of 0.23.

Remember, each part of the model represents one hundredth.

0.23 + 0.23 + 0.23 =

Example Find 0.48 ? 4. Use a model. Shade 4 groups of 0.48.

So, 0.23 ? 3 =

.

SShhooww aanndd GGrrooww

Find the product. 1. 0.19 ? 3 =

0.48 + 0.48 + 0.48 + 0.48 =

So, 0.48 ? 4 =

.

2. 0.37 ? 5 =

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188

Name

Apply and Grow: Practice

Find the product. 3. 0.09 ? 5 =

4. 8 ? 0.2 =

5. 7 ? 0.14 =

6 . 0.96 ? 2 =

7. A hummingbird's heart beats once every 0.05 second. How long does it take for its heart to beat 7 times?

8. Precision When multiplying a decimal less than one by a whole number, how does the product compare to the whole number? Is this true when multiplying two whole numbers?

9. DIG DEEPER Write two multiplication

equations involving a decimal and a whole number whose product is shown.

Chapter 5 Lesson 3

189

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Think and Grow: Modeling Real Life

Example You build the card tower shown. Each row is 0.08 meter tall. Your friend's card tower is 0.3 meter tall. Whose tower is taller? Because your card tower has 4 rows, multiply 4 by 0.08 to find the height of your tower. Use a model. Shade 4 groups of 0.08.

0.08 + 0.08 + 0.08 + 0.08 =

Compare the height of your tower to the height of your friend's tower.

So,

tower is taller.

SShhooww aanndd GGrrooww

10. You have 1 meter of ribbon. Do you have enough ribbon to border the outside of the square picture frame?

11. Organic shaved coconut originally costs $0.34 per ounce. A baker buys 8 ounces on sale for $0.27 per ounce. How much money does the baker save?

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0.33 m

12. DIG DEEPER You have 4 pennies,

3 nickels, and 2 quarters. Find the total weight and the total value of your coins.

Coin Weight (g) 2.5

5 2.268 5.67

190

Name

Learning Target: Use models to multiply

decimals and whole numbers.

Example Find 0.16 ? 5. Use a model. Shade 5 groups of 0.16.

Homework & Practice

5.3

Find the product. 1. 0.4 ? 2 =

0.16 + 0.16 + 0.16 + 0.16 + 0.16 = 0.80 So, 0.16 ? 5 = 0.80 .

2. 6 ? 0.31 =

3. 0.54 ? 3 =

4. 0.25 ? 7 =

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Chapter 5 Lesson 3

191

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