Multiplying and dividing (age 10+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Multiplying and dividing by 10, 100, and 1000

Mathematics · Multiplication & Division · ages 10-11
Name ______________________   Date ____________

  1. What is 45.2 divided by 10?

    • 4.52
    • 452
    • 0.452

  2. What is 63.8 divided by 1,000?

    • 0.638
    • 6.38
    • 638
    • 0.0638

  3. Work out 7.08 x 10.

    Answer: ______________

  4. What is 3.4 x 10?

    • 3.40
    • 34
    • 0.34

  5. Dan says 81.5 divided by 1,000 = 0.815 because you move the digits two places. Is Dan right?

    Circle one:   True   False

  6. Ribbon costs 2.45 pounds per metre. What do 100 metres cost?

    • 24.50 pounds
    • 2,450 pounds
    • 245 pounds
    • 24.05 pounds

  7. Work out 902.5 divided by 100.

    Answer: ______________

  8. Mia says multiplying by 10 just 'adds a zero.' Why does this rule break for 3.4 x 10?

    • Because decimals do not have a ones place
    • Adding a zero gives 3.40, which is still just 3.4
    • Because you cannot multiply decimals by 10

  9. Leo computed 5.6 divided by 100 and got 56. What mistake did he make?

    • He shifted three places instead of two
    • He shifted the digits right by one place only
    • He shifted the digits left instead of right

  10. Zara says 0.0452 x 1,000 = 45.2, which undoes 45.2 divided by 1,000 = 0.0452. Is Zara right?

    Circle one:   True   False

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Answer key

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

Multiplying and dividing by 10, 100, and 1000 W1-mt_wPgpMJ0-PA-s1

  1. 4.52 · Dividing by 10 shifts every digit one place right: 45.2 becomes 4.52.
  2. 0.0638 · Three zeros means three places right: 63.8 becomes 0.0638.
  3. 70.8 · One zero means one place left: 7.08 becomes 70.8.
  4. 34 · Multiplying by 10 shifts every digit one place left: 3.4 becomes 34.
  5. False · Dan is wrong: 1,000 has three zeros, so the answer is 0.0815, not 0.815.
  6. 245 pounds · 2.45 x 100 = 245, so 100 metres cost 245 pounds.
  7. 9.025 · Two zeros means two places right: 902.5 becomes 9.025.
  8. Adding a zero gives 3.40, which is still just 3.4 · Adding a zero only works for whole numbers by coincidence. The real rule is that digits shift one place left, which is why 3.4 x 10 = 34, not 3.40.
  9. He shifted the digits left instead of right · Dividing shifts digits right, not left. The correct answer is 0.056.
  10. True · Zara is right: multiplying by 1,000 reverses dividing by 1,000.
Worksheet · LightMySky