Question

Miguel’s steps in evaluating an expression are given below. 32/2(2^3-4) Step 1: =32/2(8-4) Step 2: =32/2(4) Step 3: =32/8 Step 4: =4 What, if any, was Miguel’s mistake? Miguel made no mistakes. Miguel incorrectly evaluated 2³ in step 1. Miguel incorrectly multiplied before dividing in step 3. Miguel should have used the distributive property in step 1.

Answer 1

C. Miguel incorrectly multiplied before dividing in step 3

Explanation:

We are gievn,

The steps of evaluation of the expression
`L=(32)/(2)(2^3-4)` are given by,

Step 1:
`L=(32)/(2)(8-4)`

Step 2:
`L=(32)/(2)(4)`

Step 3:
`L=(32)/(8)`

Step 4: L = 4

We see that Miguel evaluated the expression wrong at the step 3, where the correct evaluation is given by,

Step 1:
`L=(32)/(2)(8-4)`

Step 2:
`L=(32)/(2)(4)`

Step 3:
`L=32* 2`

Step 4: L = 64

Thus, the mistake made by Miguel is given by,

C. Miguel incorrectly multiplied before dividing in step 3