Question

Omar tried to evaluate an expression. Here is his work:

3· 2³/ 2· 4-1+2
=3· 8/ 2· 4-1+2 Step 1
=24/ 2· 4-1+2 Step 2
=24/ 8-1+2 Step 3
=3-1+2 Step 4
=2+2 Step 5 =4 Step 6
Is Omar's work correct?
a. No, Omar made a mistake going from Step 2 to Step 3. Omar should have divided 24 by 2 before multiplying. The order of operations says to multiply and divide from left to right.
b. No, Omar made a mistake going from Step 4 to Step 5. Omar should have added 1 and 2 before subtracting. The order of operations says to add before you subtract.
c. Yes, Omar's work is correct.

Answer 1

The correct answer is option b. Omar's work is incorrect because he made a mistake going from Step 4 to Step 5. He should have added 1 and 2 before subtracting.

Step-by-step explanation:

Omar's work is incorrect because he made a mistake going from Step 4 to Step 5. Omar should have added 1 and 2 before subtracting, as the order of operations says to perform addition before subtraction. Let's go through the steps:

1. 3·2³/2·4-1+2
2. 3·8/2·4-1+2
3. 24/2·4-1+2
4. 12·4-1+2
5. 48-1+2
6. 47+2
7. 49

So the correct answer is 49. Therefore, the option that says 'No, Omar made a mistake going from Step 4 to Step 5. Omar should have added 1 and 2 before subtracting. The order of operations says to add before you subtract' is the correct option.