Justine tried to evaluate an expression. Here is her work:

Question

10-4+26473
= 10-4+82
Step 1
=10-4+64
Step 2
=6 + 64
Step 3
= 70
Step 4
Is Justine's work correct?
No, Justine made a mistake going from the given expression to Step
1. Justine should have squared 4 before multiplying. The order of operations says to evaluate exponents before you multiply.
No, Justine made a mistake going from Step 2 to Step 3. Justine should have added before she subtracted. The order of operations says to add before you subtract.
Yes, Justine's work is correct.

Answer 1

Justine's work is not correct.

She started with the expression \(10 - 4 + 26473\). In Step 1, she incorrectly transformed it to \(10 - 4 + 82\), which is a mistake since \(26473\) should not have been changed. There was no exponentiation or multiplication involved that would justify such a change.

Therefore, the correct evaluation should be:

1. Start with \(10 - 4 + 26473\).
2. Compute the operations from left to right (since they are all addition and subtraction and have the same precedence):
   • First, do \(10 - 4\) which equals \(6\).
   • Then, add \(26473\) to \(6\), giving \(26479\).

Thus, Justine made a mistake at Step 1 itself, and her final answer of \(70\) is incorrect.

The correct answer is: No, Justine made a mistake going from the given expression to Step 1.