Question

Select the expression that has a value of 13. 9 + 3 x (2 ÷ 3) + 6 (9 + 3) x 2 ÷ 3 + 6 9 − (3 x 2) ÷ 3 + 6 (9 + 3 x 2) ÷ 3 + 6

Answer 1

`(c)\ 9 - (3 * 2) / 3 + 6`

Explanation:

Given

(a) to (d)

Required

Which equals 13

`(a):\ 9 + 3 * (2 / 3) + 6`

Solve the bracket

`9 + 3 * (2 / 3) + 6 =9 + 3 * ((2)/(3)) + 6`

Open the bracket

`9 + 3 * (2 / 3) + 6 =9 +2 + 6`

`9 + 3 * (2 / 3) + 6 == 17`

`(b):\ (9 + 3) * 2 / 3 + 6`

Solve the bracket

`(9 + 3) * 2 / 3 + 6 =(12) * 2 / 3 + 6`

Open bracket

`(9 + 3) * 2 / 3 + 6 =24 / 3 + 6`

Divide

`(9 + 3) * 2 / 3 + 6 =8 + 6`

`(9 + 3) * 2 / 3 + 6 =14`

`(c)\ 9 - (3 * 2) / 3 + 6`

Solve the bracket

`9 - (3 * 2) / 3 + 6 =9 - (6) / 3 + 6`

Remove bracket

`9 - (3 * 2) / 3 + 6 =9 - 6 / 3 + 6`

Divide

`9 - (3 * 2) / 3 + 6 =9 - 2 + 6`

`9 - (3 * 2) / 3 + 6 =13`

`(d)\ (9 + 3 * 2) / 3 + 6`

Solve the bracket (the product, first)

`(9 + 3 * 2) / 3 + 6=(9 + 6) / 3 + 6`

`(9 + 3 * 2) / 3 + 6=15 / 3 + 6`

Divide

`(9 + 3 * 2) / 3 + 6=5 + 6`

`(9 + 3 * 2) / 3 + 6=11`

Only (c) equals 13