Powers of ten and scientific notation

Grade 7 Math Worksheet - Building Confidence

NameDate

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

  1. The school library has 10^4 books, and Bo has read the shortest one. How many books are in the library?

  2. The zoo had 10^5 visitors this summer, and Esme waved at the penguins. How many visitors came?

  3. 10^-2 = 1 ÷ (10 × 10): a 1 on top and 2 tens below the bar. A bee is about 10^-2 m long, and Jun measured it before it flew away. How many meters is that, written as a decimal?

  4. 10^-3 = 1 ÷ (10 × 10 × 10): a 1 on top and 3 tens below the bar. A coin is about 10^-3 m thick. Kira stacked a few and they wobbled. How many meters is that, written as a decimal?

  5. Read this first

    Use this

    10^-4 = 1 ÷ (10 × 10 × 10 × 10): a 1 on top and 4 tens below the bar.

  6. A sheet of paper is about 10^-4 m thick, and Luz is not impressed. How many meters is that, written as a decimal?

  7. The city bus line carries 6 × 10^3 riders each day, and Pia rides one of them. How many riders is that?

  8. A garden snail is about 6 × 10^-2 m long, and Ren watched it cross one leaf. How many meters is that, written as a decimal?

  9. Use this

    2 × 10^-3 = 2 ÷ (10 × 10 × 10): a 2 on top and 3 tens below the bar.

  10. The lead in Tala's pencil is about 2 × 10^-3 m wide, and it snaps when pressed hard. How many meters is that, written as a decimal?

  11. Use this

    5 × 10^-4 = 5 ÷ (10 × 10 × 10 × 10): a 5 on top and 4 tens below the bar.

  12. Zee's pen draws a line about 5 × 10^-4 m wide, and the ink is running low. How many meters is that, written as a decimal?

  13. Bo's math book shows three numbers, with the strips of tens drawn for each. Which number is the greatest?

    • 3 × 10^4
    • 6 × 10^3
    • 8 × 10^2
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Powers of ten and scientific notation

Answer Key - Grade 7 Math Worksheet - Building Confidence

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

  1. The school library has 10^4 books, and Bo has read the shortest one. How many books are in the library?

    10000
  2. The zoo had 10^5 visitors this summer, and Esme waved at the penguins. How many visitors came?

    100000
  3. 10^-2 = 1 ÷ (10 × 10): a 1 on top and 2 tens below the bar. A bee is about 10^-2 m long, and Jun measured it before it flew away. How many meters is that, written as a decimal?

    0.01
  4. 10^-3 = 1 ÷ (10 × 10 × 10): a 1 on top and 3 tens below the bar. A coin is about 10^-3 m thick. Kira stacked a few and they wobbled. How many meters is that, written as a decimal?

    0.001
  5. Read this first

    Use this

    10^-4 = 1 ÷ (10 × 10 × 10 × 10): a 1 on top and 4 tens below the bar.

  6. A sheet of paper is about 10^-4 m thick, and Luz is not impressed. How many meters is that, written as a decimal?

    0.0001
  7. The city bus line carries 6 × 10^3 riders each day, and Pia rides one of them. How many riders is that?

    6000
  8. A garden snail is about 6 × 10^-2 m long, and Ren watched it cross one leaf. How many meters is that, written as a decimal?

    0.06
  9. Use this

    2 × 10^-3 = 2 ÷ (10 × 10 × 10): a 2 on top and 3 tens below the bar.

  10. The lead in Tala's pencil is about 2 × 10^-3 m wide, and it snaps when pressed hard. How many meters is that, written as a decimal?

    0.002
  11. Use this

    5 × 10^-4 = 5 ÷ (10 × 10 × 10 × 10): a 5 on top and 4 tens below the bar.

  12. Zee's pen draws a line about 5 × 10^-4 m wide, and the ink is running low. How many meters is that, written as a decimal?

    0.0005
  13. Bo's math book shows three numbers, with the strips of tens drawn for each. Which number is the greatest?

    • 3 × 10^4
    • 6 × 10^3
    • 8 × 10^2