23-4+183÷11+77-27

Question

=23-4+82
'÷8.21
Step 1
=23 - 4 + [64 ÷ 8•21
Step 2
=23 - 4 + [8•21
Step 3
=23 - 4 + 16
Step 4
= 19 + 16
Step 5
= 35
Step 6
Ashley tried to evaluate an expression. Here is her work:
Is Ashley's work correct?
No, Ashley made a mistake going from Step 2 to Step 3. Ashley should have multiplied 8 and 2 before dividing. The order of operations says to multiply before you divide.
No, Ashley made a mistake going from Step 4 to Step 5. Ashley should have added 4 and 16 before subtracting. The order of operations says to add before you subtract.
Yes, Ashley's work is correct.

Answer 1

Let's evaluate the expression step by step to determine whether Ashley's work is correct.

The original expression is: \[ 23 - 4 + \frac{183}{11} + 77 - 27 \]

First, we simplify the division: \[ \frac{183}{11} = 16.6363... \] For simplicity, let's round this to approximately \( 16.64 \).

Now we can rewrite the expression with this value: \[ 23 - 4 + 16.64 + 77 - 27 \]

Now perform the operations step by step:

1. Calculate \( 23 - 4 = 19 \)
2. Next, add \( 19 + 16.64 = 35.64 \)
3. Follow with \( 35.64 + 77 = 112.64 \)
4. Finally, subtract \( 112.64 - 27 = 85.64 \)

Now, let's analyze Ashley's steps. The given expression was not evaluated correctly by Ashley due to the following reasons:

• From Step 2 to Step 3, Ashley incorrectly multiplied \( 8 \) by \( 21 \) instead of either simplifying \( 64 \div 8 \) first or identifying where \( 8.21 \) came from.
• Ashley makes logical errors in handling operations and fails to apply the correct order of operations consistently.

Given the analysis, Ashley's work is not correct, and she made mistakes in her arithmetic and application of the order of operations.

Therefore, the correct conclusion about Ashley's work is: No, Ashley made a mistake going from Step 2 to Step 3.