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Simplifying Double Multiplication Expressions

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Simplifying Double Multiplication Expressions

Use the multiplication rule: you can multiply three factors in either grouping. Rewrite each expression as one multiplication expression, then find its value.

Choose an Equivalent Expression

Select the best answer for each question. For the final question, select every expression that is equal to the starting expression.

1.Which expression is equal to (4 × 3) × 2?
  • 4 × 3 × 2
  • 4 + 3 × 2
  • 4 × (3 + 2)
  • (4 + 3) × 2
2.What is the value of (5 × 2) × 6?
  • 13
  • 30
  • 60
  • 100
3.Select every expression equal to (3 × 4) × 5.
  • 3 × 4 × 5
  • 12 × 5
  • 3 × (4 × 5)
  • 3 + 4 + 5

Rewrite and Solve

Rewrite each expression as one multiplication expression without parentheses, then calculate the product.

4.(7 × 2) × 3 = __________ = __________
5.(4 × 5) × 2 = __________ = __________
6.(8 × 1) × 6 = __________ = __________
7.(3 × 3) × 7 = __________ = __________
8.(6 × 2) × 4 = __________ = __________
9.(5 × 4) × 3 = __________ = __________

Use Multiplication in Situations

Write a multiplication expression and solve each problem.

10.Sofia fills 4 gift bags. Each bag holds 3 small boxes, and each box contains 6 beads. How many beads does Sofia use altogether? Show a grouped multiplication expression and its value.
11.A community center has 3 rooms. Each room has 5 tables, and each table has 4 chairs. How many chairs are there in all? Show the grouped expression and the simplified multiplication.
12.In one or two sentences, explain why (2 × 7) × 5 and 2 × 7 × 5 have the same value.

2 printable pages

  • Simplifying Double Multiplication Expressions, page 1 of 2: Choose an Equivalent Expression, Rewrite and Solve

    Page 1

  • Simplifying Double Multiplication Expressions, page 2 of 2: Use Multiplication in Situations

    Page 2

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