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10 January, 11:24

What property is illustrated by this question? 0.2x + 1.3 + 3.9x + 9.75 A.

arithmetic fact

B.

associative

C.

distributive

D.

commutative

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Answers (1)
  1. 10 January, 11:48
    0
    The associative property is illustrated by this question ⇒ B

    Step-by-step explanation:

    Commutative Property states that you can move numbers around and still arrive at the same answer

    For addition, a + b = b + a

    For multiplication, a * b = b * a

    Associative Property states that you can re-group numbers and you will get the same answer and the commutative property

    For addition, (a + b) + c = a + (b + c)

    For multiplication, (a * b) * c = a * (b * c)

    Distributive Property states that the sum of two numbers times a third number is equal to the sum of each addend times the third number

    (a + b) * c = a * c + b * c

    ∵ The question is 0.2 x + 1.3 + 3.9 x + 9.75

    - To solve it you will add the like terms so you must group them

    ∴ 0.2 x + 1.3 + 3.9 x + 9.75 = (0.2 x + 3.9 x) + (1.3 + 9.75)

    - This is the associative property because you re-group the numbers

    ∴ The associative property is illustrated by this question
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