Place Value and Powers of Ten
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Place Value and Powers of Ten
Powers of ten worksheet for Grades 7 and 8: write powers of 10, negative powers too, as numbers, write numbers to and from expanded form with powers of 10, decimals included, and multiply and divide by powers of 10. With an answer key.
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Teach it first
Place Value and Powers of TenA teaching handout to hand out before this sheet: the rule, worked examples and common mistakes.- Pages
- 1
- Last updated
- Time
- About 15 minutes
- Answer key
- Included
- Printing
- Black and white
- Related curriculum
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Write very large and very small numbers as a number from 1 to 10 times a power of 10, change them back, and multiply and divide numbers written this way.
Reviewed by Mr. Daniel Carter, Teacher and Mr. Robert Harrison, Teacher. How we check worksheets
How to use this sheet
- Have the child check the first number every time: it must be at least 1 and less than 10.
- Count the places the decimal point moves, and write the count as the exponent.
- Ask whether the number is big or small before choosing the sign of the exponent.
Common mistakes
- Writing 34 × 10³ as scientific notation. The first number must be less than 10: 3.4 × 10⁴.
- Using a positive exponent for a small number such as 0.0042. Small numbers have negative exponents.
- When multiplying, multiplying the exponents instead of adding them.
