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Partitioning Decimals Worksheet

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Partitioning Decimals Worksheet

Part 1: Partition Decimals into Expanded Form

Partitioning a decimal means breaking it into the value of each digit. The place values are ones, tenths, hundredths and thousandths.

Worked example: 4.372 = 4 + 0.3 + 0.07 + 0.002

1. Partition 6.48 into expanded form.
2. Partition 5.04 into expanded form. Remember to include the zero placeholder.
3. Partition 2.305 into expanded form.
4. Partition 9.617 into expanded form.

Part 2: Build Decimals and Identify Digit Values

5. Write the decimal represented by 7 + 0.5 + 0.02.
6. Write the decimal represented by 3 + 0.08 + 0.006.
7. In 8.472, what is the value of the digit 7?
8. In 5.04, what is the value of the digit 4?
9. In 2.305, what is the value of the digit 3?

Part 3: Challenge and Application

10. A notebook costs $4.75. Partition 4.75 to show the number of dollars, tenths and hundredths.
11. A ribbon is 2.305 metres long. What is this length in expanded form? Include the zero placeholder.
12. Mia walked 3.6 kilometres on Monday and 2.045 kilometres on Tuesday. Which distance has a digit in the thousandths place? State the digit and its value.

Answer Key

1. 6 + 0.4 + 0.08

2. 5 + 0.04

3. 2 + 0.3 + 0.005

4. 9 + 0.6 + 0.01 + 0.007

5. 7.52

6. 3.086

7. 0.07

8. 0.04

9. 0.3

10. 4 + 0.7 + 0.05

11. 2 + 0.3 + 0.005

12. Tuesday; the digit is 5 and its value is 0.005 kilometres.

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