Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3.
24
54
27
28

- anonymous

Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3.
24
54
27
28

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- anonymous

@misssunshinexxoxo

- chrisplusian

Order of operations... what do you start with?

- chrisplusian

Parentheses so.... 7-2 =5

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## More answers

- anonymous

32+5

- chrisplusian

Then you have 32+5*6*4-6 over 3

- chrisplusian

You can look at the numerator as being in parentheses and then divided by the bottom

- anonymous

37 24

- chrisplusian

Next you have to follow from left to right in the numerator... so you do multiplication first. Multiplying 5*6 you get 30

- anonymous

30*4=120

- chrisplusian

Then multiplying 30 by 4 you get 120

- anonymous

2

- chrisplusian

Then you do addition left to right

- anonymous

what do you mean

- anonymous

i suck at math really bad

- chrisplusian

Ok for clarification....

- anonymous

ok

- anonymous

what number would we do left to right?

- chrisplusian

\[\frac{ 32+(7-2)*4-6 }{ 3 }\]

- chrisplusian

Is that your problem?

- anonymous

yes

- chrisplusian

I made a mistake when I started cause I added something that didn;t belong there I aplologize

- anonymous

thats fine :)

- chrisplusian

But if the problem I just posted is correct you don't have the answer listed because it would be a decimal. Can you check to be sure that what I posted is actually your problem?

- anonymous

ok heres my problem

- anonymous

|dw:1443061261463:dw|

- chrisplusian

OK thats different... lets start it then

- anonymous

ok

- anonymous

thanks for sticking around

- chrisplusian

first is parentheses...\[3^2 + (5)*4 -\frac{ 6 }{ 3 } \]

- anonymous

20

- chrisplusian

Next exponents....\[9 + 5*4-\frac{ 6 }{ 3 }\]

- anonymous

29

- chrisplusian

Then multiplication...\[9+20-\frac{ 6 }{ 3 }\]

- anonymous

how do you multiply from a fraction?

- chrisplusian

Then addition left to right....\[29-\frac{ 6 }{ 3 }\]

- anonymous

27?

- chrisplusian

last we need to subtract, but our first number is not a fraction..... how do we change it? To add or subtract fractions we must have a common denominator.... in this case that denominator is 3..... we can multiply the first number 29 by \[\frac{ 3 }{ 3 }\] because this is just the number one. Multiplying by one does not change the value of the number but it does change what it looks like...\[\frac{ 3 }{ 3 }*29 - \frac{ 6 }{ 3 } = \frac{ 87 }{ 3 }-\frac{ 6 }{ 3 }\]

- chrisplusian

\[ \frac{ 87 }{ 3 }-\frac{ 6 }{ 3 } = \frac{ 87-6 }{ 3 }\]

- anonymous

that would be 28

- chrisplusian

\[=\frac{ 81 }{ 3 }=27\]

- chrisplusian

Sorry long winded but if you have to look back I want you to understand where it all came from

- anonymous

i had it right the first time lol. yes i most definitely will go back and look.

- anonymous

You're a awesome at exemplifying thank you so much!

- chrisplusian

Its really a matter of looking at the whole problem and deciding what takes precedence.... parentheses, then if there aren't any whats next... exponents... then multiplication or division (whichever comes first left to right meaning multiplication doesn't come before division unless it shows up first left to right), then addition or subtraction (whichever comes first left to right). and your done :) good luck

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