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14 September, 12:53

Consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: - 4 3/7 + 7 + (-3 4/7)

Step 1: = - 4 3/7 + (-3 4/7) + 7

Step 2: = - 4 + (-3/7) + (-3) + (-4/7) + 7

Step 3: = - 4 + (-3/7) + (-4/7) + (-3) + 7

Step 4: = - 4 + (-1) + (-3) + 7

Step 5: = - 8 + 7

Step 6: = - 1

A) The associate property of addition.

B) The commutative property of addition.

C) The opposite of a sum is the sum of its opposites.

D) Subtracting a number is the same as adding its inverse.

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Answers (1)
  1. 14 September, 12:58
    0
    B) The commutative property of addition.

    Step-by-step explanation:

    Given expression:

    Step 1: = - 4 3/7 + (-3 4/7) + 7

    Step 2: = - 4 + (-3/7) + (-3) + (-4/7) + 7

    Step 3: = - 4 + (-3/7) + (-4/7) + (-3) + 7

    Step 4: = - 4 + (-1) + (-3) + 7

    Step 5: = - 8 + 7

    Step 6: = - 1

    In 3rd step they just swap the positions of (-4/7) and (-3) to bring the like fractions with common denominator together.

    Swapping the numbers is the Commutative Property of Addition.

    Therefore, correct option is B) The commutative property of addition.
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