← 7th Grade Math
Math 7 U2-L5 Applications with Decimals

Powers of Ten

Multiplying by ten, a hundred or a thousand doesn't need a calculator. It needs one decimal point and the patience to count.

Teacher Notes

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Lesson Goal

By the end of this lesson your student should be able to multiply a decimal by 10, 100, 1,000 or any power of ten in his head, by moving the decimal point right as many places as there are zeros, or as the exponent says.

It leans on U1-L9, where the student learned that 10⁵ means five 10s multiplied.

Where Students Get Stuck

🚨 Moving the point the wrong way. Multiplying by a power of ten always makes the number bigger, so the point always moves right. If the answer got smaller, the point went left.

Running out of digits. 0.34 x 10⁴ needs four moves, and there are only two digits after the point, so two zeros get written in: 3,400.

Teaching Suggestion

Write 2.39 on a card and slide a paper decimal point one place right for each row of the table. Moving a real object makes the pattern stick faster than any rule.

Key Vocabulary

Power of Ten
A number like 10, 100 or 1,000 that is 10 multiplied by itself some number of times.
Exponent
The small raised number that counts how many times 10 is used as a factor, and how many places the point moves.
Mental Math
Working a problem out in your head without a calculator or paper.
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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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