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3.23

=2•4-1+2

=3•8÷2•4-1+2
Step 1
=24÷2•4-1+2
Step 2
=24÷8-1+2
Step 3
=3-1+2
Step 4
= 2 + 2
Step 5
= 4
Step 6
Omar tried to evaluate an expression. Here is his work:
Is Omar's work correct?
No, Omar made a mistake going from Step 2 to Step 3. Omar should have divided 24 by 2 before multiplying. The order of operations says to multiply and divide from left to right.
No, Omar made a mistake going from Step 4 to Step 5. Omar should have added 1 and 2 before subtracting. The order of operations says to add before you subtract.
Yes, Omar's work is correct.

1 answer

Let's evaluate Omar's original expression and the steps he took to solve it:

The expression Omar is evaluating is: \[ 3 \cdot 8 \div 2 \cdot 4 - 1 + 2 \]

Following the order of operations (PEMDAS/BODMAS), we should handle multiplication and division from left to right before performing addition and subtraction.

Steps according to the order of operations:

  1. Calculate \( 3 \cdot 8 = 24 \)
  2. Next, calculate \( 24 \div 2 = 12 \)
  3. Then, calculate \( 12 \cdot 4 = 48 \)
  4. Now perform the subtraction: \( 48 - 1 = 47 \)
  5. Finally, perform the addition: \( 47 + 2 = 49 \)

Now, comparing this with Omar's steps:

  1. Omar writes the expression in Step 1 correctly as \( 24 \div 2 \cdot 4 - 1 + 2 \).
  2. In Step 2, he notes \( 24 \div 2 = 12 \) as the next operation, which is correct. However, he incorrectly states that he multiplied by 4 before dividing, resulting in \( 3 \) in Step 4.
  3. From Step 2 to Step 3, he makes a mistake in the order of operations. He should have divided \( 24 \) by \( 2 \) first then multiplied by \( 4 \), which he did in the original expression.

So, the conclusion is that:

No, Omar made a mistake going from Step 2 to Step 3. Omar should have divided 24 by 2 before multiplying. The order of operations says to multiply and divide from left to right.