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 (A)

    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

    Flashcards

    Distributive property of multiplication

    Breaking down multiplication problems into smaller, easier parts by separating one of the factors into added numbers, and then multiply them separately and finally sum the products together. For example, 4 x (2+3) = (4x2) + (4x3).

    Equation based on array 3×9

    3 x 9 can be split into 3 x (5 + 4) to get 15 + 12 = 27. This is another example of distributive property.

    How to calculate total items in 5 rows with 6 items per row?

    Multiply the number of rows (5) by the number of items per row (6). 5 x 6 = 30.

    Distributive Property Equation for 4 x 8 split.

    4 x 8 = 4 x (5 + 3) , then (4 x 5) + (4 x 3) to get 20 + 12 = 32

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    Robin's multiplication method 7 × 6

    Robin's method of multiplying 7 × 6 by calculating 7 × 5 and then adding 7 × 1 is correct and 7 × 6 = 42.

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    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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