Question

Discuss the order of operations to explain why the expressions [(12÷(2+ 2)] ^3 and (12 ÷ 2) + 2^3 do not havethe same value.

Answer 1

The order of operations are different. Hence, the answers are not equal

Explanation:

Oder of operations using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)

[(12÷(2 + 2)]³ and (12 ÷ 2) + 2³

we solve seperately:

[(12÷(2+ 2)]³

we solve the parenthesis first:

(12 ÷ 4)³

then we apply division:

= (3)³

Then expand the exponent:

= 27

(12 ÷ 2) + 2³

we solve the parenthesis first:

6 + 2³

we expand the exponent:

6 + 8

we apply addition:

14

The order of operations are differnt. Hence, the answers are not equal