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Place Value Powers Worksheet

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Place Value Powers Worksheet

Manaia is helping organise supplies for a community event. Use place value to check the quantities, solve the puzzles and explain your thinking. Remember: multiplying by 10 makes each digit’s value ten times greater; dividing by 10 makes it ten times smaller.

Place-value pathways

Track how numbers change as they move along the number line.

1.The number line shows 20,000, 50,000 and 80,000. What is the value of the step between each neighbouring tick?
2.Manaia multiplies 3,608 by 10. Which number does she get?
  • 360.8
  • 3,680
  • 36,080
  • 360,800
3.A box has 7,250 paper cups. The cups are shared equally among 10 tables. How many cups go to each table?

Build the number

Use the place-value chart to investigate 46,305.

Ten-thousands

Thousands

Hundreds

Tens

Ones

Number

4

6

3

0

5

46,305

4.In 46,305, what is the value of the digit 6?
5.Write 46,305 in expanded form using powers of 10. Include the zero tens term.
6.Match each calculation to its answer.
  • 528 × 100
  • 5,280 ÷ 100
  • 5,280 ÷ 10
  • 52.8
  • 528
  • 52,800

Check the quantities

Manaia’s notes include a few claims about place value. Test them carefully.

7.True or false? When 2,406 is multiplied by 10, the digit 4 has a value of 400 in the answer.
TrueFalse
8.Fill the blank: 6,300 ÷ 10 = .
9.Manaia says, “To multiply 340 by 10, I just add a zero to the end.” Is her answer of 3,400 correct? Explain why this method works for this number, using place-value language.
10.Challenge: A supply order is 456 packs. How many packs would an order 100 times as large contain? Show the calculation and describe what multiplying by 100 does to each digit’s value.

2 printable pages

  • Place Value Powers Worksheet, page 1 of 2: Place-value pathways, Build the number

    Page 1

  • Place Value Powers Worksheet, page 2 of 2: Check the quantities

    Page 2

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