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Grade 10 · Science · Chemistry

10th grade Significant figures in measurements and calculations worksheet

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Significant figures in measurements and calculations

Grade 10 Science Worksheet

NameDate

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

  1. A rectangular tile measures 2.4 cm by 3.42 cm. What is its area, to the correct number of significant figures, Ari?

  2. A rectangular tile measures 0.53 cm by 7.861 cm. What is its area, to the correct number of significant figures, Bo?

  3. A rectangular tile measures 6.1 cm by 2.237 cm. What is its area, to the correct number of significant figures, Esme?

  4. Read this first

    The same handful of rice weighed with three tools (example data)

    toolsmallest mark (g)reading (g)
    kitchen scale112
    school balance0.112.3
    analytical balance0.00112.304
  5. Using the table, which reading has the most significant figures, Jun?

    • 12 g
    • 12.304 g
    • 12.3 g
  6. Using the table, why does the analytical balance give more significant figures, Kira?

    • It rounds the rice's mass upward
    • The rice got heavier
    • Its smallest mark is finer
  7. Using the table, how many significant figures does the school balance's reading have, Luz?

    • 3
    • 5
    • 2
  8. A carton holds 12 eggs. How many significant figures does the 12 have, Milo?

    • Unlimited: it is a count
    • One significant figure
    • Two, like any two-digit number
  9. Does the 100 in 1 m = 100 cm limit the significant figures in a conversion, Noah?

    • No: it is defined, so exact
    • Yes: it has one significant figure
    • Yes: it has three
  10. How should 1200 with 3 significant figures be written so the count is clear, Tala?

    • 12.00 × 10²
    • 1.20 × 10³
    • 1.2 × 10³
  11. Which is 0.000340 in scientific notation, keeping its significant figures, Zee?

    • 3.4 × 10⁻⁴
    • 34.0 × 10⁻³
    • 3.40 × 10⁻⁴
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10th grade Significant figures in measurements and calculations worksheet – printable
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About this worksheet

Significant figures in measurements and calculations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can read a tool to its smallest mark plus one estimated digit.
  • I can count significant figures, including which zeros count, and in scientific notation.
  • I can round a product or quotient to the fewest significant figures, and a sum or difference to the fewest decimal places.
  • I can tell exact numbers (counts and definitions) from measured ones.

Standard: practices (no PE)

Words to know

significant figures: The certain digits of a measurement plus one estimated digit

estimated digit: The last digit, read between the smallest marks

leading zero: A zero before the first nonzero digit; it doesn't count

captive zero: A zero between nonzero digits; it counts

exact number: A counted or defined number, with no limit on its precision

Common mistakes

Your child rounded to decimal places. Significant figures count from the first nonzero digit.

Your child kept every calculator digit. An answer can't be more certain than the measurements it came from.

Your child counted the leading zeros. Zeros before the first nonzero digit only place the decimal point.

Questions parents ask

What is the most common mistake with significant figures in measurements and calculations?

Your child rounded to decimal places. Significant figures count from the first nonzero digit.

Are these 10th grade science 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.

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