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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.
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