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6-8 Accelerated 6 Unit 3 Lesson 20

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 •Lesson 20 Lesson 21 Lesson 22 Lesson 23

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 3, Lesson 20

Dividing a Decimal by a Decimal

Accelerated 6

Practice

Problem 1

A student said, “To find the value of \(109.2 \div 6\), I can divide 1,092 by 60.”

Do you agree with her? Explain your reasoning.
Calculate the quotient of \(109.2 \div 6\) using any method of your choice.

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Problem 2

Lesson 20 Resources

Student Materials

Here is how Han found \(31.59 \div 13\):

Long division of 31 point 5 9 divided by 13. 8 rows.

At the second step, Han subtracts 52 from 55. How do you know that these numbers represent tenths?
At the third step, Han subtracts 39 from 39. How do you know that these numbers represent hundredths?
Check that Han’s answer is correct by calculating the product of 2.43 and 13.

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Problem 3

Write two division expressions that have the same value as \(61.12 \div 3.2\).
Find the value of \(61.12 \div 3.2\).
Show your reasoning.

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Problem 4

A bag of pennies weighs 5.1 kilograms. Each penny weighs 2.5 grams. About how many pennies are in the bag?

20
200
2,000
20,000

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Problem 5

ForLesson 19: Dividing Numbers that Result in a Decimal

Use long division to find each quotient. Write your answer as a decimal.

\(1,\!097 \div 5\)
\(2,\!106 \div 25\)

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Problem 6

ForLesson 14: Using Diagrams to Represent Addition and Subtraction

Find each difference. If you get stuck, consider drawing a diagram.

\(2.5 - 1.6\)

\(0.72-0.4\)

\(11.3-1.75\)

\(73-1.3\)

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Problem 7

ForLesson 9: Fractional Lengths

Plant B is \(6\frac23\) inches tall. Plant C is \(4\frac{4}{15}\) inches tall. Complete the sentences and show your reasoning.

Plant C is \(\underline{\hspace{.5in}}\) times as tall as Plant B.
Plant C is \(\underline{\hspace{.5in}}\) inches \(\underline{\hspace{1in}}\) (taller or shorter) than Plant B.

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