Expanded Notation Place Value Worksheet
This expanded notation place value worksheet has 5th grade students write decimals to the thousandths in expanded form and back again, with an answer key included for fast, confident checking.
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About this resource
Description
This expanded notation place value worksheet helps fifth graders see exactly what every digit in a decimal number is worth. Expanded notation writes a number as a sum of each digit multiplied by its place value, so 36.47 becomes 3 × 10 + 6 × 1 + 4 × 0.1 + 7 × 0.01. Once students can take a decimal apart this way, comparing, rounding, and adding decimals all make far more sense.
The page opens with a worked example, then asks students to write five decimals to the thousandths in expanded notation. Most of those numbers hide a zero in a different place, which is the real test of the skill. Next, students turn three expanded forms back into standard form, including one written in place-value words. The last item shows a classmate’s mistake and asks students to explain it by naming the correct decimal place. This 5th grade place value worksheet works well for guided practice, homework, a math center, or a quick check before a unit test.
What’s Included
- One printable expanded notation worksheet for 5th grade
- Five decimals to write in expanded notation, to the thousandths place
- Three expanded forms to write in standard form
- One written error-analysis question
- A complete answer key
Why It Helps Kids
First, writing each digit times its place value makes students name the value of tenths, hundredths, and thousandths instead of just reading digits aloud. Second, working in both directions, from standard form to expanded notation and back again, builds a flexible understanding of decimals. Third, the error-analysis question asks for reasoning in a complete sentence, the kind of short constructed response that state tests expect.
Teachers and parents can extend the practice easily. Build decimals with a place value chart and digit cards, then have students read each one aloud in expanded form. Use prices or race times as real decimals to take apart. Ask partners to write an expanded form with a missing place and challenge each other to find the standard number. A few minutes of this each day keeps the expanded notation place value worksheet skills fresh.
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