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8th grade Scientific notation: write, convert and say how many times larger worksheet

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Scientific notation: write, convert and say how many times larger

Grade 8 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. A city library has about 10^5 books. Ari's class shelf has about 10^2. How many times as many is the first, as a single power of 10?

  2. Bo reads that a big tree has about 10^5 leaves and one branch about 10^3. How many times as many is the first, as a single power of 10?

  3. About 3,900,000 people live in Jun's state. What is that, rounded to one digit times a power of 10?

  4. Luz reads that a blue whale weighs about 150,000 kg. What is that, rounded to one digit times a power of 10?

  5. Milo reads that about 7,800,000 people live in a big city. What is that, rounded to one digit times a power of 10?

  6. Noah reads that a big oak tree has about 260,000 leaves. What is that, rounded to one digit times a power of 10?

  7. Pia's town library has 18,600 books. What is that, rounded to one digit times a power of 10?

  8. In Ren's science notes, a human hair is about 0.00008 m wide. What is that as one digit times a power of 10?

  9. Tala reads that a pollen grain is about 0.000025 m across. What is that, rounded to one digit times a power of 10?

  10. Zee reads that a scale on a butterfly's wing is about 0.000058 m long. What is that, rounded to one digit times a power of 10?

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8th grade Scientific notation: write, convert and say how many times larger worksheet – printable
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About this worksheet

Scientific notation: write, convert and say how many times larger. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can round a big or small amount to one digit times a power of 10.
  • I can say how many times larger one amount is than another by dividing first parts and subtracting exponents.
  • I can fix a first part that is below 1 or 10 or more, moving the power the other way.

Standard: 8.EE.A.3

Words to know

scientific notation: One digit (1–9.9…) times a power of ten: 4 × 10⁶.

round to one digit: Keep the first digit, rounded, then count the places: 3,900,000 ≈ 4,000,000.

how many times larger: Divide the bigger amount by the smaller.

first part: The number before × 10 in scientific notation.

Common mistakes

Your child used the number of digits as the power of ten. 3,900,000 has 7 digits but is 3.9 × 10^6: count the places after the first digit.

Your child cut off the digits instead of rounding. 3,900,000 is closer to 4,000,000 than to 3,000,000, so it is about 4 × 10^6.

Your child counted only the zeros after the point. In 0.00008 the point moves 5 places to get past the 8, so it is 8 × 10^-5.

Questions parents ask

What is the most common mistake with scientific notation: write, convert and say how many times larger?

Your child used the number of digits as the power of ten. 3,900,000 has 7 digits but is 3.9 × 10^6: count the places after the first digit.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

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