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Mathematics · Grade 5

Decimal Multiplication and Division

Learners multiply decimals by whole numbers with jumps on a number line, multiply two decimals with area models, and place the decimal point by estimating. They then divide decimals by sharing and by asking how many groups fit, and apply both operations to prices, recipes and lengths.

  • 4 lessons
  • About 85 minutes
  • Decimal products and quotients check: 10 questions
  • Ways to answer: choose an answer, match pairs, type a number, place on a number line, sort into groups and true or false
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What learners will discover

  • Multiply a decimal by a whole number using repeated addition, number lines and place value.
  • Multiply two decimals to hundredths with an area model and place the decimal point by estimation and place value.
  • Divide a decimal by a whole number (sharing) and divide by a decimal (how many groups), checking with multiplication.
  • Choose and use decimal multiplication or division to solve problems about prices, recipes and lengths.

Lessons

  1. A decimal times a whole number 8 steps4 practiceabout 18 min
  2. A decimal times a decimal 9 steps5 practiceabout 24 min
  3. Dividing decimals: share or group 9 steps5 practiceabout 22 min
  4. Decimals at work 7 steps4 practiceabout 21 min
  5. Decimal products and quotients 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