Scientific Notation in Context
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Scientific Notation in Context
Scientific notation word problems for Grade 8: grains of sand, cells, a lake, a factory, a country, and a hard drive, each to multiply or divide with the answer in scientific notation. With an answer key.
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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. 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.
