Rounding to decimal places and significant figures · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Rounding decimals and significant figures

Mathematics · Number Representation & Place Value · ages 11-13
Name ______________________   Date ____________

  1. Round 8.673 to the nearest tenth.

    Answer: ______________

  2. Round 23.952 to the nearest hundredth.

    Answer: ______________

  3. Round 7.253 to 1 decimal place.

    7.253
    • 7.2
    • 7.3
    • 7.25

  4. To round 3.86 to 1 decimal place, you look at the hundredths digit to decide.

    Circle one:   True   False

  5. Round 6.2378 to 3 significant figures.

    Answer: ______________

  6. True or false: 5.76 and 5.84 both round to 5.8 when rounded to the nearest tenth.

    Circle one:   True   False

  7. Round 0.0387 to 2 significant figures.

    • 0.04
    • 0.039
    • 0.038

  8. Round 3.15 to the nearest tenth.

    Answer: ______________

  9. Round 0.08249 to 2 significant figures.

    • 0.082
    • 0.08
    • 0.083
    • 0.08249

  10. Amir rounds 6.995 to 2 decimal places and writes 6.99. Is he correct?

    6.995
    • No, it should round up to 7.00
    • No, it should round up to 7.10
    • Yes, that is correct
LightMySky · lightmysky.comW1-mt_U9sme87C32-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Rounding decimals and significant figures W1-mt_U9sme87C32-s1

  1. 8.7 · The tenths digit is the first digit after the decimal point. Its neighbor decides whether it goes up or stays put.
  2. 23.95 · The hundredths digit is the second digit after the decimal point. Check the digit right after it to decide whether to round up or down.
  3. 7.3 · The digit after the tenths place is 5, so the 2 rounds up to 3. The answer is 7.3.
  4. True · The hundredths digit, 6, tells you whether the tenths digit rounds up or stays the same.
  5. 6.24 · Count significant figures from the first nonzero digit, then round based on the digit right after your cutoff.
  6. True · Two different decimals can land on the same rounded value if they're both close enough to it.
  7. 0.039 · The first two significant figures are 3 and 8. The next digit, 7, rounds the 8 up to 9, giving 0.039.
  8. 3.2 · When the digit right after the place you're rounding to is exactly 5, round up.
  9. 0.082 · Leading zeros don't count as significant figures, so the count starts at the first nonzero digit.
  10. No, it should round up to 7.00 · The thousandths digit is 5, so the hundredths digit rounds up. But 9 rounds up to 10, which carries over, so 6.995 becomes 7.00.
Worksheet · LightMySky