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Decimal Place Value

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Decimal Place Value

Read each decimal carefully. Use place-value words such as ones and tenths, and identify digits by their positions after the decimal point. Show your thinking where asked.

Read the digits

1.For the decimal 6.284, state the place and value of each digit: 6, 2, 8 and 4.
2.In 5.731, which place does the digit 3 occupy?
  • Tenths
  • Hundredths
  • Thousandths
3.In 0.649, which place does the digit 6 occupy?
  • Tenths
  • Hundredths
  • Thousandths
4.Write the decimal with 4 ones, 5 tenths, 0 in the second place after the decimal point and 8 thousandths.

Decimals around us

5.A surf lifesaving club records a rescue-board length as 3.46 m. What place is the digit 4 in?
6.A bottle at the club holds 2.583 L of water. Select every correct statement about the digits in this amount.
  • The 2 has a value of 2 litres.
  • The 5 has a value of 5 tenths of a litre.
  • The 8 has a value of 8 thousandths of a litre.
  • The 3 has a value of 3 thousandths of a litre.
7.Xavier measures a length of rope as 1.72 m. Explain what the digits 1, 7 and 2 each represent.

Show and describe decimals

8.Complete the place-value chart for 7.406 by writing one digit in each column.

Ones

Tenths

Hundredths

Thousandths

9.Write the decimal described by 3 ones, 0 tenths, 9 in the second place after the decimal point and 2 thousandths.
10.Write the decimal described by 0 ones, 6 tenths, 1 in the second place after the decimal point and 5 thousandths.
11.Write the decimal described by 8 ones, 2 tenths, 0 in the second place after the decimal point and 4 thousandths.
12.Match each decimal to its number name.
  • 0.9
  • 0.09
  • 0.009
  • 4.26
  • Four and twenty-six hundredths
  • Nine thousandths
  • Nine tenths
  • Nine hundredths

Think it through

13.In 9.372, which digit has the greatest value? Explain how you know.
14.Write the decimal that has 7 in the ones place, 3 in the tenths place, 8 in the second place after the decimal point and 1 in the thousandths place.
15.True or false: 0.4 has the same value as 4 tenths. Give a short reason.
TrueFalse
16.The surf club uses a hundred-square to represent 1 whole. Show 0.36 by shading the correct number of small squares.

3 printable pages

  • An illustrated decimal place-value chart and questions about digit places and values.

    Page 1

  • Questions applying decimal place value to measurements at a surf lifesaving club.

    Page 2

  • A place-value chart, decimal word forms and a hundred-square decimal shading challenge.

    Page 3

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