Understanding Distributive Property in Math
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Questions and Answers

How many apples are in the basket if there are 4 rows of 7 apples?

  • 24
  • 28 (correct)
  • 30
  • 32
  • Robin's method of finding 7 × 6 by multiplying 7 × 5 and then adding 7 × 1 is valid.

    True

    Using the distributive property, complete the equation: 4 × 8 = 4 × (___ + ___).

    5, 3

    If there are 5 rows of 6 desks, this can be split as: 5 × 6 = 5 × (___ + ___).

    <p>3, 3</p> Signup and view all the answers

    Match each multiplication expression with its correct answer:

    <p>4 × (2 + 3) = 20 6 × (3 + 5) = 48 3 × (4 + 6) = 18</p> Signup and view all the answers

    Study Notes

    Basic Understanding

    • A basket with 4 rows of 7 apples each contains a total of 28 apples.
    • A garden with 6 rows of flowers, each containing 8 flowers, has a total of 48 flowers. This can be solved using the distributive property (6 x 8 = 6 x (5 + 3)).

    Using Arrays

    • The completed equation using the array:

      • 3 × 9 = 3 × (5 + 4)
      • 3 × 9 = (3 × 5) + (3 × 4)
      • 3 × 9 = 15 + 12
      • 3 × 9 = 27
    • Splitting 5 rows of 6 desks:

      • 5 × 6 = 5 × (3 + 3)

    Math Stories

    • Theo has 4 plates with 8 cookies each, for a total of 32 cookies. Using the distributive property:

      • 4 × 8 = 4 × (5 + 3)
    • Robin's method of finding 7 × 6 by multiplying 7 × 5 and 7 × 1 makes sense. This is also a form of the distributive property.

    • Solving to check: 7 × 6 = 42

    Matching

    • 4 × (2 + 3)= 20 (Matches with A)
    • 6 × (3 + 5) = 48 (Matches with C)
    • 3 × (4 + 6) = 30 (Incorrect match, should be B, but no other option)

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    Description

    This quiz explores the concepts of the distributive property with engaging examples and problems related to multiplication. You'll solve equations involving arrays and real-life scenarios, helping to solidify your understanding of this key math principle. Test your skills and see how well you grasp the distributive property!

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