Question

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

Answer 1

CAN SOMEONE PLEASE HELP ME

Answer 2

@iGreen

Answer 3

Do you know PEMDAS? @Lexis1615

Answer 4

Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".

Answer 5

Yes, Multiplication and Division and Addition and Subtraction go in order from left to right.

Answer 6

\(6 - 4(3 - 5)^2 + 30 \div 5\)

Okay, first is the parenthesis, we subtract 3 - 5:

\(6 - 4(-2)^2 + 30 \div 5\)

Now comes the exponent. What's -2 * -2? @Lexis1615

Answer 7

4

Answer 8

@iGreen

Answer 9

Yes, so that gives us:

\(6 - 4(4) + 30 \div 5\)

So Karen already did something wrong, can you see what it is?

Answer 10

she did the -4 & 4

Answer 11

Right..she thought -2 * -2 was -4, but it's actually 4.

Matt is right so far.

Answer 12

Okay, do you know what we do next?

\(6 - 4(4) + 30 \div 5\)

Answer 13

okay so matt is correct and karen is incorrect cause she messed up on her pemdas when she did -4 &4

Answer 14

No, we don't know for sure yet, because we have to go through all the steps..Matt was only correct at one place..we don't know if he's correct all the way.

Answer 15

\(6 - 4(4) + 30 \div 5\)

Okay, next step is to multiply -4 * 4, what do you get?

Answer 16

16

Answer 17

No, check again.

Answer 18

ok its -16 my bad

Answer 19

Yes, that gives us:

\(6 - 16 + 30 \div 5\)

Now what's our next step? We have subtraction, addition, and division left. Which one comes first?

Answer 20

divsion

Answer 21

division

Answer 22

Yep, and what's 30 divided by 5?

Answer 23

6

Answer 24

Yep, and that gives us:

\(6 - 16 + 6\)

Matt is wrong here, do you see his mistake?

Answer 25

the 6-16 i think

Answer 26

@iGreen

Answer 27

Yeah, he subtracted 6 - 16 instead of dividing 30 / 5, which is what we did.

Answer 28

So both Matt and Karen were wrong.

Answer 29

Welcome to Open Study!

You can give medals by clicking 'Best Response'. @Lexis1615

Answer 30

That's It @iGreen i got some more questions

Answer 31

Okay, just close this one and open another.

Answer 32

okay hold on

Answer 33

Ima ask u a lil bit later

Answer 34

Okay.