Question

-6 +8(11 - 4)+ 32

Step 1
= -6 + 8(7) +32
Step 2
= -6 + 8(7) +9
Step 3
= 2(7) +9
Step 4
= 14 + 9
Step 5
= 23
Where is the mistake

Answer 1

Answer: Step 2 and Step 3.

From step 1 to step 2 the "32" unexpectedly changes into a "9" for no reason.

Step 3 also has a mistake due to misusing PEMDAS, as 6 is removed from the 8(7) to get 2. The 6 should be removed from the 32 instead.

Correct step-by-step explanation:

`-6 + 8(11-4) + 32\\=-6+8(7)+32\\=-6+8(7)+32\\=8(7)+26=56+26\\=82`

Answer 2

See below

Explanation:

Step 2 and Step 3

Mistake #1: From step 1 to step 2 the 32 randomly changed to 9

Mistake #2: According to PEMDAS multiplication and division comes before addition and subtraction.

During step 3, 8 was added to -6 before 8 was multiplied by 7 which is incorrect as the multiplication should come first.

The real answer should be....

-6 +8(11 - 4)+ 32

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and division (left to right)

Addition and Subtraction (left to right)

-6 +8(11 - 4)+ 32

First do the operations inside of the parenthesis. ( Subtract 4 from 11 )

-6 + 8(7) + 32

There are no exponents so we go to the next step.

Next is multiplication.

Multiply 8 and 7

- 6 + 56 + 32

Finally we do the addition and subtraction going left to right.

First add 56 to -6

50 + 32

Then add 50 and 32

= 82