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Which equation is true?

I. 56 ÷ 4·7 = 82 ÷ (11 + 5)

II. (24 ÷ 8 + 2)3 = (42 + 9)2

User Nossidge
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1 Answer

3 votes

Neither of these statements are true. See the work below for proof.

56 ÷ 4·7 = 82 ÷ (11 + 5) ----> Following order of operations, we start with parenthesis.

56 ÷ 4·7 = 82 ÷ (16) ----> Now we multiply and divide left to right.

14·7 = 82 ÷ (16)

96 = 82 ÷ (16)

96 = 5.125 (FALSE)

Then we try the second.

(24 ÷ 8 + 2)3 = (42 + 9)2 ----> Using order of operations, start with parenthesis, doing division and multiplication first.

(3 + 2)3 = (42 + 9)2

(5)3 = (51)2

125 = 2601 (FALSE)

User Tschumann
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