h worked the following problem incorrectly.
Part 1) In which line was the mistake made?
Part 2) Show your work and give the correct answer?
Line 1 40 ÷ 5(3 − 1) − 4
Line 2 40 ÷ 5(2) − 4
Line 3 40 ÷ 10 − 4
Line 4 4 − 4
Line 5 0
Part 1) The mistake was made in line 2.
Part 2) To solve the problem correctly, we need to follow the correct order of operations (PEMDAS/BODMAS).
Line 1: 40 ÷ 5(3 − 1) − 4
According to PEMDAS/BODMAS, we need to solve the parentheses first:
Line 2: 40 ÷ 5(2) − 4
We can simplify 3 − 1 to 2:
Line 2: 40 ÷ 5(2) − 4
Now, we need to perform the multiplication:
Line 3: 40 ÷ 10 − 4
Dividing 40 by 10 gives us:
Line 3: 4 − 4
Subtracting 4 from 4 gives us:
Line 4: 0
Therefore, the correct answer is 0.
Part 1) The mistake was made in Line 2.
Part 2) To show the correct work and give the correct answer, we need to follow the correct order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
In Line 1, the expression 40 ÷ 5(3 − 1) − 4 is present.
Using PEMDAS, we start off by evaluating the parentheses: (3 - 1) = 2.
Next, we perform the multiplication: 5 * 2 = 10.
Now, we can rewrite the expression: 40 ÷ 10 - 4.
Moving on, we apply the division: 40 ÷ 10 = 4.
Finally, we subtract: 4 - 4 = 0.
Therefore, the correct answer is 0.
The mistake was made in Line 2 because the multiplication was not explicitly shown. Instead, it is implied by placing the 2 right next to the parentheses. To avoid confusion and ensure clarity, it is better to explicitly show the multiplication by using the multiplication symbol (*), like in Line 1.