Place value
Place-value chart with decimals
Connect twelve whole-number places with five fractional places, through hundred-thousandths. The fixed example 123,456,789,012.34567 includes a complete number reading.
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Expanded form worksheets for decimals
Decompose decimals into whole and fractional place values. Choose two or three whole-number digits and tenths, hundredths or thousandths.
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Write a sum showing each digit’s place value.
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Learning objective
What this activity builds
Represent every decimal digit with an addend of the correct size, including fractional positions.
Worked example
Write 82.405 as an expanded sum.
80 + 2 + 0.4 + 0.00 + 0.005
The 4 represents four tenths, the 0 represents zero hundredths, and the 5 represents five thousandths. Zero terms may be omitted in an equivalent additive answer.
Teaching notes
Make the practice count
- Begin with tenths, then add hundredths and thousandths when each place unit is understood.
- A leading zero before the decimal point makes a fractional addend such as 0.005 easier to read.
- A selected trailing zero remains in the original numeral so the requested decimal precision is visible.
- The printed decimal separator follows the selected worksheet language; the mathematical value remains unchanged.
- Each generated question is unique within the sheet. The answer key repeats the prompts with completed responses; page breaks match the student version.
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Related activities
Place value
Standard form worksheets for decimals
Rebuild decimals from place-value sums. Practice tenths through thousandths with two or three whole-number digits and optional zero digits.
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Place value
Expanded notation worksheets for decimals
Expand decimals into digit-times-place products and reverse the process. Select 2–4 whole-number digits, 1–3 decimal places, and whether zero digits may appear.
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