Question

Joey tried to evaluate an expression. Here is his work:
97–3+53÷25232
=
97–3+125÷2529 Step 1
=
97–3+529 Step 2
=
97–3+109 Step 3
=
97–3+90 Step 4
=
97–93 Step 5
=
4 Step 6
Is Joey's work correct?
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Answer 1

Let's evaluate the expression step by step to see if Joey's work is correct. The expression given is:

\[ 97 - 3 + \frac{53}{25232} \]

It's important to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

### Step 1: Evaluate Division
The first operation we need to perform is the division:

\[
\frac{53}{25232}
\]

Calculating this gives approximately:

\[
\approx 0.002095
\]

### Step 2: Substitute Back Into the Expression
Now substitute this value back into the original expression:

\[
97 - 3 + 0.002095
\]

### Step 3: Perform Addition and Subtraction
Now perform the addition and subtraction from left to right:

1. \( 97 - 3 = 94 \)
2. \( 94 + 0.002095 \approx 94.002095 \)

### Conclusion
The correctly evaluated expression should yield approximately \( 94.002095 \), not \( 4 \) as Joey concluded in his steps. Therefore, Joey's work contains mistakes, and his final answer of \( 4 \) is incorrect.

Joey's evaluation and final result are incorrect.