Question

Justine tried to evaluate an expression. Here is her work:
10–4+2(4)2
=
10–4+82 Step 1
=
10–4+64 Step 2
=
6+64 Step 3
=
70 Step 4
Is Justine's work correct?



Questions

Answer 1

Let's evaluate the expression step by step and see if Justine's calculation is correct:

The original expression is:
\[ 10 - 4 + 2(4)^2 \]

**Step 1:** Calculate \( (4)^2 \):
\[ (4)^2 = 16 \]

**Step 2:** Then multiply by 2:
\[ 2(4^2) = 2 \times 16 = 32 \]

So the expression now becomes:
\[ 10 - 4 + 32 \]

**Step 3:** Perform the subtraction and addition from left to right:
\[ 10 - 4 = 6 \]
\[ 6 + 32 = 38 \]

Justine's final answer was 70, which is incorrect. The correct final result for the expression \( 10 - 4 + 2(4)^2 \) is **38**.

In summary, Justine's work contains some mistakes in the evaluation of \( 2(4)^2 \) as well as the subsequent calculations.