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Place Value Powers Practice

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Place Value Powers Practice

Practise multiplying and dividing by powers of 10. Show your working for word problems and explain your reasoning where asked.

Multiply by powers of 10

Calculate each product.

1.Calculate 36 × 10.
2.Calculate 74 × 100.
3.Calculate 9 × 1,000.
4.Calculate 2.47 × 100.
5.When 6.38 is multiplied by 100, which statement describes the place-value change?
  • Each digit moves two places to the left in the place-value chart.
  • Each digit moves two places to the right in the place-value chart.
  • Only the final digit changes.
  • The number stays the same.
6.An airport shuttle travels 18 kilometres on each trip. What distance does it travel on 100 trips?
7.Complete the pattern: 7 × 10 = 70, 7 × 100 = , and 7 × 1,000 = .

Divide by powers of 10

Calculate each quotient.

8.Calculate 560 ÷ 10.
9.Calculate 6,300 ÷ 100.
10.Calculate 8,000 ÷ 1,000.
11.Calculate 45.6 ÷ 10.
12.When dividing 5,200 by 1,000, which direction do the digits move in the place-value chart?
  • Three places to the left
  • Three places to the right
  • One place to the left
  • One place to the right
13.Mei has 1,500 luggage tags to divide equally into 100 bundles. How many tags go in each bundle?

Reasoning and problem solving

Use place value to explain or check your answers.

14.Match each calculation to its value.
  • 4.2 × 10
  • 42 × 100
  • 420 ÷ 10
  • 420 ÷ 1,000
  • 42
  • 0.42
  • 42
  • 4,200
15.Finn says that multiplying 3.6 by 100 gives 3.600 because two zeroes are added. Is he correct? Give the correct answer and explain the place-value change.
16.A café at the airport sells a snack for $4.50. What is the total cost of 100 snacks?
17.Select every calculation that has a value of 3,600.
  • 36 × 100
  • 360 × 10
  • 3.6 × 1,000
  • 36,000 ÷ 10
  • 360,000 ÷ 100

3 printable pages

  • Place Value Powers Practice, page 1 of 3: Multiply by powers of 10

    Page 1

  • Place Value Powers Practice, page 2 of 3: Divide by powers of 10

    Page 2

  • Place Value Powers Practice, page 3 of 3: Reasoning and problem solving

    Page 3

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