← 7th Grade Math
Math 7 U2-L7 Applications with Decimals

Dividing Decimals

Dividing by a decimal looks like a new problem, but one move turns it into division you already know how to do.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to divide a decimal by a decimal by moving both points the same number of places, add zeros when they're needed, and explain why the quotient doesn't change.

Where Students Get Stuck

🚨 Moving only one point. The divisor's point and the dividend's point have to move the same number of places, or the problem has changed.

Forgetting to add a zero. In 0.7 divided by 0.05 the dividend has only one digit after the point, so it needs a zero tacked on before it can move two places.

Teaching Suggestion

Do 0.4 divided by 0.5 once with squares: shade 40 squares in 5 columns and count 8 squares in each column, which is 0.8. That picture is the reason the moving works, and it's worth doing once by hand.

Key Vocabulary

Dividend
The number being divided. In 0.4 ÷ 0.5, the dividend is 0.4.
Divisor
The number you divide by. In 0.4 ÷ 0.5, the divisor is 0.5.
Quotient
The answer to a division problem.
Annex
To write extra zeros on the end of a decimal so there are enough digits.
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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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