Natalie made a mistake in the following problem. What line was the mistake made in? Show your work and give the correct answer.
Line 1 6(4) ÷ 2 − 1 + 5
Line 2 6(4) ÷ 1 + 5
Line 3 24 ÷ 1 + 5
Line 4 24 + 5
Line 5 29
look carefully at line 2
To find the mistake made in the problem, we need to work through the calculations step by step. Let's start with the original expression:
Line 1: 6(4) ÷ 2 − 1 + 5
First, we need to simplify the expression inside the parentheses:
6(4) = 24
So now we have:
Line 1: 24 ÷ 2 − 1 + 5
Next, we perform the division:
24 ÷ 2 = 12
Now we have:
Line 1: 12 − 1 + 5
Now, we perform the subtraction:
12 − 1 = 11
Now we have:
Line 1: 11 + 5
Lastly, we perform the addition:
11 + 5 = 16
Therefore, the correct answer is 16.
Now let's analyze the mistake made by Natalie.
Line 2: 6(4) ÷ 1 + 5
In this line, Natalie skipped the step of dividing 24 by 2. Instead, she divided it by 1.
The correct expression after dividing 24 by 2 would be:
Line 2: 12 ÷ 1 + 5
Now we can simplify this line further by performing the division:
12 ÷ 1 = 12
Now we have:
Line 2: 12 + 5
Performing the addition:
12 + 5 = 17
So Natalie made a mistake in Line 2. The correct answer is 17, not 16.