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Integers

Write which p...

Question

Write which property of an quality has been used in each of the following:

(1) 6 + 4 = 10 ∴ 5(6 + 4) = 5 × 10
(2) 9 - 11 − 2 ∴ 9 + 5 = (11 − 2) + 5
(3) 2 × 6 = 8 + 4 ∴ $\frac{2 \times 6}{2} = \frac{8}{2} + \frac{4}{2}$
(4) 5 + 4 = 18 ÷ 2 ∴ (5 + 4) − 7 = (18 ÷ 2) − 7

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Solution

(1) Because 5 is multiplied on both the sides of the equality, the multiplication property of equality is used.

(2) Because 5 is added on both the sides of the equality, the addition property of equality is used.

(3) Because 2 is divided on both the sides of the equality, the division property of equality is used.

(4) Because 7 is subtracted from both the sides of the equality, the subtraction property of equality is used.

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