Question

1.Two of your friends, Matt and Karen, both run to you to settle a dispute. They were working on a math problem, and got different answers. Wisely, you decide to look at their work to see if you can spot the source of confusion.




Matt
6 – 4(3 – 5)2 + 30 ÷ 5
6 – 4(–2)2 + 30 ÷ 5
6 – 4(4) + 30 ÷ 5
6 – 16 + 30 ÷ 5
−10 + 30 ÷ 5
20 ÷ 5
4

Karen
6 – 4(3 – 5)2 + 30 ÷ 5
6 – 4(–2)2 + 30 ÷ 5
6 – 4(−4) + 30 ÷ 5
6 + 16 + 30 ÷ 5
6 + 16 + 6
22 + 6
28 Explain to Matt and Karen who, if either, is correct

Answer 1

and identify errors that you find. Provide the correct manner to fix those solutions, and identify the correct answer. Use complete sentences.

Answer 2

Order of operations: PEDMAS
P Parenthesis
E Exponentiation
D Division
M Multiplication
A Addition
S Subtraction

For each problem see if the above order of operations is followed in each step.

Answer 3

Check the 4th/5th step of Matt's. What should the next operation be?

Answer 4

Check the arithmetic in Karen's 3rd step.