← 7th Grade Math
Math 7 U2-L4 Applications with Decimals

Multiplying Decimals

Multiplying decimals is multiplying you already know how to do. The only new question is where the point goes.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to multiply two decimals and place the decimal point correctly, either by estimating or by counting the decimal places in the factors.

Where Students Get Stuck

๐Ÿšจ Lining up the decimal points, the way you do for addition. Multiplication doesn't line them up; you multiply as whole numbers and place the point at the end.

Counting places from the wrong end. Count from the right of the product, and add zeros on the left if you run out of digits, as in 0.005 x 0.5 = 0.0025.

Teaching Suggestion

Draw a 10-by-10 grid, shade 4 columns one way and 6 rows the other, and count the overlap: 24 small squares out of 100, so 0.24. That picture is the reason the counting rule works, and it's worth doing once by hand.

Key Vocabulary

Factor
A number being multiplied. In 0.4 x 0.6, both 0.4 and 0.6 are factors.
Product
The answer to a multiplication problem.
Decimal Places
The digits to the right of the decimal point. 0.035 has three.
Estimate
A quick, rounded answer that tells you roughly how big the exact one should be.
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Before You Start

The Words

The words this lesson uses. Tap a card to see what it means, then come back to them whenever a question uses one.

Part One

The Questions

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Questions about the story you just read. Pick your answer straight off, or press Find it in the story if you would rather hunt for the sentence first.

Part Two

Vocabulary Check

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The word cards are at the top of this page. Look back at them as often as you need, then answer.

When you finish: write the answers out in your own words — not copied word for word from the choices. Saying it your own way is the part that proves you understood it. Then use Print Answer Sheet for a one-page record of what was answered and scored.
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