Free Printable WorksheetMathGrade 5Math Curriculum5.13

5.13 Convert Between Standard and Expanded Form for Whole Numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.13 Convert Between Standard and Expanded Form for Whole Numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct expanded form for a given whole number or the correct whole number for a given expanded form. Choose the statement that best justifies the answer using place-value language and an estimation check. Corresponding standards: CCSS 5.NBT.A.3.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 5

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 5.13 Convert Between Standard and Expanded Form for Whole Numbers skill assessments:

Problem 1Difficulty: Mastery

To check your work, you should use place value and estimation. Which statement about 214,400,214 is correct?

A214,400,214 = 200,000,000 + 10,000,000 + 4,000,000 + 400,000 + 900 + 10 + 4. The 4 in the millions place is worth 4,000,000. Rounding to the nearest hundred-millions gives 200,000,000, so the sum should be close to 200,000,000.

B214,400,214 = 200,000,000 + 10,000,000 + 4,000,000 + 400,000 + 200 + 10 + 4. The 4 in the ones place is worth 4. Rounding to the nearest hundred-millions gives 200,000,000, so the sum should be close to 200,000,000.

C214,400,214 = 200,000,000 + 30,000,000 + 4,000,000 + 400,000 + 200 + 10 + 4. The 1 in the ten-millions place is worth 10,000,000. Rounding to the nearest hundred-millions gives 200,000,000, so the sum should be close to 200,000,000.

D214,400,214 = 200,000,000 + 10,000,000 + 4,000,000 + 400,000 + 9,000 + 200 + 10 + 4. The 1 in the ten-millions place is worth 10,000,000. Rounding to the nearest hundred-millions gives 200,000,000, so the sum should be close to 200,000,000.

Solution & Explanation:The correct expanded form adds each nonzero place value: 214,400,214 = 200,000,000 + 10,000,000 + 4,000,000 + 400,000 + 200 + 10 + 4. Each digit shows its value by place (for example, 4 in the ones place is 4). Estimation check: rounding 214,400,214 to the nearest hundred-millions gives 200,000,000, so the expanded sum should be close to 200,000,000.

Problem 2Difficulty: Mastery

Write the whole number in standard form: 100,000,000 + 50,000,000 + 4,000,000 + 30,000 + 200 + 7

Solution & Explanation:Add the place-value parts: 100,000,000 + 50,000,000 + 4,000,000 + 30,000 + 200 + 7 = 154,030,207. For example, the 5 in the ten-millions place contributes 50,000,000. Estimation check: rounding 154,030,207 to the nearest hundred-millions gives 200,000,000, and the expanded sum is close to 200,000,000, so the result is reasonable.

Problem 3Difficulty: Mastery

A student is converting 647,060,704 to expanded form. Which option shows the correct expanded form and a good estimation check?

A647,060,704 = 600,000,000 + 40,000,000 + 7,000,000 + 60,000 + 700 + 4. The 6 in the ten-thousands place is worth 60,000. Rounding to the nearest hundred-millions gives 600,000,000, so the sum should be close to 600,000,000.

B647,060,704 = 600,000,000 + 40,000,000 + 60,000 + 700 + 4. The 4 in the ten-millions place is worth 40,000,000. Rounding to the nearest hundred-millions gives 600,000,000, so the sum should be close to 600,000,000.

C647,060,704 = 600,000,000 + 90,000,000 + 7,000,000 + 60,000 + 700 + 4. The 7 in the hundreds place is worth 700. Rounding to the nearest hundred-millions gives 600,000,000, so the sum should be close to 600,000,000.

D647,060,704 = 600,000,000 + 40,000,000 + 7,000,000 + 60,000 + 700 + 80 + 4. The 6 in the hundred-millions place is worth 600,000,000. Rounding to the nearest hundred-millions gives 600,000,000, so the sum should be close to 600,000,000.

Solution & Explanation:The correct expanded form adds each nonzero place value: 647,060,704 = 600,000,000 + 40,000,000 + 7,000,000 + 60,000 + 700 + 4. Each digit shows its value by place (for example, 6 in the ten-thousands place is 60,000). Estimation check: rounding 647,060,704 to the nearest hundred-millions gives 600,000,000, so the expanded sum should be close to 600,000,000.

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.13 (Convert Between Standard and Expanded Form for Whole Numbers).