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Third/Multiplication

Near Multiples: Advanced Adjustments

Extend near-multiple strategies (±1, ±2) around 50, 100, 25×4 patterns.
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Practice Questions

  1. 32 × 49 = ?
    Show answer

    1568

  2. 24 × 51 = ?
    Show answer

    1224

  3. 48 × 52 = ?
    Show answer

    2496

  4. 28 × 99 = ?
    Show answer

    2772

  5. 36 × 101 = ?
    Show answer

    3636

Teacher Resources
Teaching Notes

Teaches efficient mental multiplication using friendly multiples. Reinforces the distributive property for multi-digit calculations.

Vocabulary
Near Multiples: Numbers close to the original, easier to multiply.
Adjustment: Adding or subtracting to correct an estimate.
Common Mistakes
  • Wrong direction of adjustment
  • Incorrectly applying adjustment (+/-).
  • Forgetting to multiply the adjustment term.
  • Errors in mental subtraction/addition.
  • Not identifying the closest friendly multiple.
Differentiation
SupportUse visual models; begin with simpler ±1 adjustments.
ChallengeExtend to larger numbers; apply to decimals or fractions.
Discussion Questions
  • How does this strategy relate to the distributive property?
  • When is it most effective to use a near multiple?
  • What makes a number a 'friendly' multiple?
  • Can we use this strategy for division too?
Extension Activities
  • Use friendly numbers.
  • Show the adjustment.
  • Try other near multiples.
Parent Tip

Help your child estimate grocery costs by rounding prices up or down.

Learning Path
Skill Cluster

Number Sense & Operations

Estimated Time

12 minutes

Skills Practiced
Near multiple adjustmentPattern exploitation