Free Printable WorksheetMathGrade 5Math Curriculum5.NBT.B.5

5.33 Use Partial Products and Area Models for Multi Digit Multiplication Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.33 Use Partial Products and Area Models for Multi Digit Multiplication. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Identify the correct partial products or area-model representation for a multi-digit multiplication problem. Select the option that shows correct place-value reasoning, including appropriate regrouping or a correctly placed decimal point. Corresponding standards: CCSS 5.NBT.B.5.

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 5.33 Use Partial Products and Area Models for Multi Digit Multiplication skill assessments:

Problem 1Difficulty: Mastery
Choose the representation that keeps the decimal point in the correct place for 9.45 × 36.
A9 × 30 = 270; 9 × 6 = 54; 0.4 × 30 = 12; 0.4 × 6 = 2.4; 0.05 × 30 = 1.5; 0.05 × 6 = 0.3; total = 3,402
B9 × 30 = 270; 9 × 6 = 54; 0.4 × 30 = 12; 0.4 × 6 = 2.4; 0.05 × 30 = 1.5; 0.05 × 6 = 0.3; total = 34.02
C9 × 30 = 280; 9 × 6 = 54; 0.4 × 30 = 12; 0.4 × 6 = 2.4; 0.05 × 30 = 1.5; 0.05 × 6 = 0.3; total = 340.2
D9 × 30 = 270; 9 × 6 = 54; 0.4 × 30 = 12; 0.4 × 6 = 2.4; 0.05 × 30 = 1.5; 0.05 × 6 = 0.3; total = 340.2
Solution & Explanation:Split the factors by place value: 9.45 = 9 + 0.4 + 0.05 and 36 = 30 + 6. The partial products add to 340.2, so the decimal point must be placed there.
Problem 2Difficulty: Mastery
Choose the representation that keeps the decimal point in the correct place for 5.6 × 0.8.
A5 × 0.8 = 4; 0.6 × 0.8 = 0.48; total = 44.8
B5 × 0.8 = 4; 0.6 × 0.8 = 0.48; total = 0.448
C5 × 0.8 = 4; 0.6 × 0.8 = 0.48; total = 4.48
D5 × 0.8 = 5; 0.6 × 0.8 = 0.48; total = 4.48
Solution & Explanation:Split the factors by place value: 5.6 = 5 + 0.6 and 0.8 = 0.8. The partial products add to 4.48, so the decimal point must be placed there.
Problem 3Difficulty: Mastery
A decimal area model is used for 31.6 × 207. Which option has the correct partial products and total?
A30 × 200 = 6,000; 30 × 7 = 210; 1 × 200 = 200; 1 × 7 = 7; 0.6 × 200 = 120; 0.6 × 7 = 4.2; total = 65,412
B30 × 200 = 6,000; 30 × 7 = 210; 1 × 200 = 200; 1 × 7 = 7; 0.6 × 200 = 120; 0.6 × 7 = 4.2; total = 6,541.2
C30 × 200 = 6,000; 30 × 7 = 210; 1 × 200 = 200; 1 × 7 = 7; 0.6 × 200 = 120; 0.6 × 7 = 4.2; total = 654.12
D30 × 200 = 6,010; 30 × 7 = 210; 1 × 200 = 200; 1 × 7 = 7; 0.6 × 200 = 120; 0.6 × 7 = 4.2; total = 6,541.2
Solution & Explanation:Split the factors by place value: 31.6 = 30 + 1 + 0.6 and 207 = 200 + 7. The partial products add to 6,541.2, so the decimal point must be placed there.

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Frequently Asked Questions

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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.B.5 (Primary standard selected for prompt fields in this prompt cell: CCSS 5.NBT.B.5. Skill statement in this prompt cell: Identify the correct partial products or area-model representation for a multi-digit multiplication problem. Select the option that shows correct place-value reasoning, including appropriate regrouping or a correctly placed decimal point. Associated standards listed with this skill in this prompt cell: CCSS 5.NBT.B.5. Use this prompt-provided wording as the supporting standard description for this workflow.).

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