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6-8 Accelerated 6 Unit 3 Lesson 16

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

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Unit 3, Lesson 16

Methods for Multiplying Decimals

Accelerated 6

Practice

Problem 1

Write three numerical expressions that are equivalent to \((0.0004) \boldcdot (0.005)\).

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Problem 2

Lesson 16 Resources

Student Materials

Find each product. Show your reasoning.

\((1.2) \boldcdot (0.11)\)
\((0.34) \boldcdot (0.02)\)
\(120 \boldcdot (0.002)\)

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Problem 3

You can use a rectangle to represent \((0.3) \boldcdot (0.5)\).

What must the side length of each square represent for the rectangle to correctly represent \((0.3) \boldcdot (0.5)\)?
What area is represented by each square?
What is \((0.3) \boldcdot (0.5)\)? Show your reasoning.

A rectangle area model. The rectangle is partitioned into 15 identical squares. There are 5 rows of 3 squares in each row.

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Problem 4

Here is a rectangle that has been partitioned into four smaller rectangles.

Rectangle divided into 4 smaller rectangles labeled A, B, C, D. Length across top is 3.4 and width is 2.6.

For each expression, choose the sub-rectangle whose area, in square units, matches the expression.

\(3 \boldcdot (0.6)\)
\((0.4) \boldcdot 2\)
\((0.4) \boldcdot (0.6)\)
\(3 \boldcdot 2\)

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Problem 5

ForLesson 15: Adding and Subtracting Decimals with Many Non-Zero Digits

Calculate each difference. Show your reasoning.

\(13.2 - 1.78\)
\(23.11 - 0.376\)
\(0.9 - 0.245\)

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Problem 6

ForLesson 7: Finding an Algorithm for Dividing Fractions

Find the value of \(\frac{49}{50}\div\frac{7}{6}\) using any method.

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