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Mathematics · Grade 5

Multi-Digit Multiplication and Division

Learners estimate with rounding and powers of ten, multiply multi-digit whole numbers by connecting area models and partial products to the standard algorithm, and divide four-digit numbers by two-digit divisors with partial quotients. The course ends with real situations where the remainder must be interpreted.

  • 4 lessons
  • About 85 minutes
  • Multiplication and division check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, put in order and sort into groups
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What learners will discover

  • Estimate products and quotients with rounding and powers of ten, and use estimates to judge whether an answer is reasonable.
  • Multiply multi-digit whole numbers with area models, partial products and the standard algorithm, explaining how the methods connect.
  • Divide up to four-digit dividends by two-digit divisors using area models and partial quotients, and check by multiplying.
  • Interpret quotients and remainders in context and solve multi-step problems with multiplication and division.

Lessons

  1. Estimate first 7 steps4 practiceabout 18 min
  2. From area models to the standard algorithm 9 steps5 practiceabout 24 min
  3. Divide with partial quotients 9 steps5 practiceabout 24 min
  4. What does the remainder mean? 7 steps4 practiceabout 19 min
  5. Multiplication and division check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.

More 5th grade math

Guide for grown-ups