Free Printable WorksheetMathGrade 5Math Curriculum5.NBT.A.2

5.21 Multiply and Divide by Powers of Ten Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.21 Multiply and Divide by Powers of Ten. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct result of multiplying or dividing a number by 10, 100, 1,000, or 10^n. Choose the statement that best justifies the answer using place-value language and an estimation check. Corresponding standards: CCSS 5.NBT.A.2; CCSS 5.NBT.B.7.

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 5.21 Multiply and Divide by Powers of Ten skill assessments:

Problem 1Difficulty: Mastery

A mastery question starts with 2.5 and applies multiply by 10⁴ followed by divide by 100. Which result is best justified?

A0.025; the digits shift 2 places right to smaller place values, so the estimate should be much smaller.

B250; the net effect shifts each digit 2 places left to a larger place value after the two steps, and 2.5 is about 3, and 3 × 100 is about 300, close to 250.

C2,500; the digits shift 3 places left to larger place values, but this counts 3 places instead of 2.

D250; the digits shift 2 places right to smaller place values, so the estimate should be much smaller.

Solution & Explanation:Starting with 2.5, the steps are first multiply by 10⁴, then divide by 100. Because the net effect shifts each digit 2 places left to a larger place value, the final value is 250. Estimation check: 2.5 is about 3, and 3 × 100 is about 300, close to 250.

Problem 2Difficulty: Mastery

A test-prep question asks for 0.0047 × 10². Which result is supported by a valid estimate?

A0.000047; the digits shift 2 places right to smaller place values, so the estimate should be much smaller.

B4.7; the digits shift 3 places left to larger place values, but this counts 3 places instead of 2.

C0.47; the digits shift 2 places right to smaller place values, so the estimate should be much smaller.

D0.47; multiplying by 10² (100) shifts each digit 2 places left to a larger place value, and 0.0047 is about 0.005, and 0.005 × 100 is about 0.5, close to 0.47.

Solution & Explanation:0.0047 × 10² = 0.47. Because multiplying by 10² (100) shifts each digit 2 places left to a larger place value, each digit changes value by 100. Estimation check: 0.0047 is about 0.005, and 0.005 × 100 is about 0.5, close to 0.47.

Problem 3Difficulty: Mastery

A classmate claims one answer for 8.009 × 10³. Which choice correctly proves the answer?

A8,009; multiplying by 10³ (1,000) shifts each digit 3 places left to a larger place value, and 8.009 is about 8, and 8 × 1,000 is about 8,000, close to 8,009.

B0.008009; the digits shift 3 places right to smaller place values, so the estimate should be much smaller.

C80,090; the digits shift 4 places left to larger place values, but this counts 4 places instead of 3.

D8,009; the digits shift 3 places right to smaller place values, so the estimate should be much smaller.

Solution & Explanation:8.009 × 10³ = 8,009. Because multiplying by 10³ (1,000) shifts each digit 3 places left to a larger place value, each digit changes value by 1,000. Estimation check: 8.009 is about 8, and 8 × 1,000 is about 8,000, close to 8,009.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 5.21 Multiply and Divide by Powers of Ten worksheet?

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QIs this 5.21 Multiply and Divide by Powers of Ten worksheet free for teachers and homeschoolers?

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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.NBT.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.NBT.A.2. Skill statement in this prompt cell: Select the correct result of multiplying or dividing a number by 10, 100, 1,000, or 10^n. Choose the statement that best justifies the answer using place-value language and an estimation check. Associated standards listed with this skill in this prompt cell: CCSS 5.NBT.A.2; CCSS 5.NBT.B.7. Use this prompt-provided wording as the supporting standard description for this workflow.).