Question

Expression: (5−2)2+23×4 Step 1: (3)2+23×4 Step 2: 9+23×4 Step 3: 9+9×4 Step 4: 9+36 Step 5: 45 Emily made a mistake. Which step shows her first mistake? Step 1 Step 2 Step 3 Step 4

Answer 1

Step 3

Explanation:

Given

`(5 - 2)^ 2 + 23 * 4`

Required:

Determine the first step where she made mistake

Her Step 1:

`(3)^ 2 + 23 * 4` --- This is correct because she solved the bracket first

Her Step 2:

`9 + 23 * 4` --- This is correct because she solved 3^2 as 9

Her Step 3:

`9 + 9 * 4` --- This is incorrect because 23 * 4 is not equivalent to 9 * 4

Hence, her first mistake is in step 3.

The correct expression would have been

`9 + 92`

Then

`= 101`