Place Value Standard Expanded Worksheet
This place value standard expanded worksheet has 5th grade students write whole numbers in expanded notation with powers of ten and back again, with an answer key for quick, confident checking.
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About this resource
Description
This place value standard expanded worksheet helps fifth graders connect standard form, expanded notation, and powers of ten. Every digit in a whole number is worth the digit times a power of ten, so 4,036 becomes 4 × 10³ + 3 × 10¹ + 6 × 1. Writing numbers with exponents shows students why each place is ten times the place to its right, which is the heart of the base-ten system.
The page opens with a worked example, then asks students to write five numbers, from the ten thousands up to the hundred millions, in expanded notation using exponents. Every number hides at least one zero, so students must decide which powers of ten to leave out. Next, students turn three exponent expansions back into standard form, and the last one lists its terms out of order. The final item shows a classmate’s mistake with an exponent and asks students to explain it in writing. This 5th grade place value worksheet works well for guided practice, homework, a math center, or a quick check after a lesson on powers of ten.
What’s Included
- One printable expanded notation worksheet for 5th grade
- Five whole numbers to write in expanded notation with powers of ten
- Three exponent expansions to write in standard form
- One written error-analysis question
- A complete answer key
Why It Helps Kids
First, matching each place to its exponent makes students see that ten thousands is 10⁴ and a million is 10⁶, instead of memorizing place names alone. Second, working in both directions, from standard form to expanded notation and back again, builds a flexible sense of how large numbers are built. 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 large numbers on a place value chart and label each column with its power of ten. Have partners roll digits, make a number, and write it in expanded notation for each other to check. Ask students to count the zeros in 10⁵ or 10⁷ and predict the value before writing it out. A few minutes of this each day keeps the place value standard expanded worksheet skills fresh all year.
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