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Distributive Property Practice

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Distributive Property Practice

Use the distributive property to split a multiplication into smaller parts. Choose one answer for each question unless it says “Select all”.

Choose the best answer

1.What is 4 × (6 + 3)?
  • 36
  • 27
  • 24
  • 15
2.Which expression is equal to 5 × (8 + 2)?
  • 5 × 8 + 2
  • 5 × 8 + 5 × 2
  • 5 + 8 × 2
  • 5 × 10 + 2
3.Use the distributive property to evaluate 3 × (7 + 4).
  • 33
  • 25
  • 42
  • 14
4.Select all expressions equivalent to 7 × (3 + 6).
  • 7 × 3 + 7 × 6
  • 7 × 9
  • 7 × 3 + 6
  • (3 + 6) × 7

Match each multiplication to its expanded form

Write the matching letter beside each expression.

5.Match each expression on the left with its equivalent form on the right.
  • A. 2 × (9 + 4)
  • B. 6 × (5 + 2)
  • C. 3 × (8 + 1)
  • D. 4 × (7 + 3)
  • 2. 3 × 8 + 3 × 1
  • 4. 4 × 7 + 4 × 3
  • 1. 6 × 5 + 6 × 2
  • 3. 2 × 9 + 2 × 4

Work it out

Show your steps where asked.

6.Expand and simplify: 6 × (10 + 4).
7.Find the missing number: 5 × (8 + □) = 65.
8.A box contains 6 red markers and 5 blue markers. Ivy buys 4 boxes. Write a distributive-property number sentence and work out how many markers she buys altogether.
9.Complete the expansion and evaluate: 8 × (20 + 3) = (8 × 20) + (8 × □) = □.
10.Explain in one sentence how splitting a number in brackets can help when multiplying.
11.A rectangular tile design has 3 rows, with 7 yellow tiles and 2 green tiles in each row. Use a distributive-property number sentence to find the total number of tiles.

2 printable pages

  • Distributive property multiple-choice practice and a matching activity for equivalent multiplication expressions.

    Page 1

  • Written practice expanding products, finding missing values, and applying the distributive property to a tile array.

    Page 2

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