Answer:
B. Step 3
Complete question found on chegg:
Select the correct answer.
A mistake was made in the steps shown to simplify the expression.
Which step includes the mistake?
9/2 + 3(4-1) -7 + 2³
Step 1: 9/2 + 3(3) -7 + 2³
Step 2: 9/2 + 3(3) -7 + 8
Step 3: 15/2 (3) -7 + 8
Step 4: 45/2 -7 + 8
Step 5: 31/2 + 8
Step 6: 47/2
A. Step 4
B. Step 3
C. Step 1
D. Step 5
Step-by-step explanation:
To determine where the mistake occurred let's solve the expression ourselves and compare with answer L's given.
9/2 + 3(4-1) -7 + 2³
Using BODMAS = Bracket, Of, Division, Multiplication, Addition and Subtraction.
Step 1: solve for the value in the bracket. 4-1 =3
9/2 + 3(3) -7 + 2³
Step 2: find the value of 2³
2³ = 2×2×2 = 8
9/2 + 3(3) -7 + 8
Step 3: add 9/2 and 3(3)
9/2 + 3(3) = 9/2 + 9 = (9+18)/2
= 27/2 = (9/2)(3)
9/2 (3) -7 + 8
Step 4: open the bracket
27/2 -7 + 8
Step 5: subtract 7 from 27/2
= (27-14)/2 = 13/2
13/2 + 8
Step 6: add 13/2 and 8
13/2 + 8 = (13+16)/2 = 29/2
From the above calculation, the mistake occurred in (B) Step 3
