CCSS.Math.Content.5.NBT.B.5
The standard
Fluently multiply multi-digit whole numbers using the standard algorithm.
Common Core State Standards for Mathematics · Number and Operations in Base Ten
What this standard means
Students need to multiply whole numbers with several digits using the standard algorithm, not just repeated addition or area models. They should line up numbers correctly, multiply each place value, record partial products, carry when needed, and add partial products accurately.
Mastery looks like accurate, efficient work with problems such as 347 × 26 or 4,208 × 135, with clear place-value alignment. Students often get stuck with missing zeros in partial products, carrying errors, messy columns, or forgetting that each new row starts in a new place value.
Ways to teach it
- Use graph paper to solve 238 × 47, keeping digits in columns and circling each partial product before adding.
- Ask students to explain why the second partial product in 356 × 24 starts under the tens place, not the ones place.
- Give three problems, 462 × 38, 705 × 64, and 1,239 × 25, and check for alignment, carrying, and final answer.
- Have students calculate the total number of tiles needed for 28 classroom floors with 345 tiles on each floor.
Plan a lesson for CCSS.Math.Content.5.NBT.B.5
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Related standards
- CCSS.Math.Content.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
- CCSS.Math.Content.6.NS.B.2
Fluently divide multi-digit numbers using the standard algorithm.
- CCSS.Math.Content.6.NS.B
Compute fluently with multi-digit numbers and find common factors and multiples.
- CCSS.Math.Content.4.NBT.B.4
Fluently add and subtract multi-digit whole numbers using the standard algorithm.