Is there anyone good at PEMDAS?

Question

okay so we are doing order of operations and i know PEMDAS but heres one of the questions.

12/[3+(6+3)] and i dont get how to do it why are there braqutes??

and heres another one:

3squared-5*7-4squared

________________________

(-4-9-12)+4

and it has a line how its shown does that meen its going to be a fraction please someone help:(.

Answer 1

Parentheses

Exponents

Multiply>>>>

Division>>>> which ever one comes first(multiply or divide in the line)

Add>>>>

Subtract>>>>which ever comes first(add or subtract)

for the first one the braquettes are just like parentheses so that comes first. here is a step by step:

12/[3+(6+3)]

first you add 6 and 3.....so now its 12/[3+(9)]

then you add 9 and 3.......12/[12]

then you divide 12 by 12 and the answer is 1.

the next question seems a little bit harder and no it will not be a fraction that line is another meaning for division just like if a line was between 9 and 3 then you would divide 3 into 9n and you would get 3. its just showing how the division sign is. same as a slash. the slash is just easier to put on paper then a long horizontal line sometimes.

okay.... uhm here i am going to try the step by step......

3squared-5*7-4squared

________________________

(-4-9-12)+4

first you would simplify the top of the line so start with:

im going to put an arrow thing to represent to the square root of two. (^)

so its..... 3^2-5*7-4^2

first you would simplify 3^2 and 4^2 so its:

9-5*7-16

then you multiply....5*7

so its.....9-35-16

then minus 35 from 9 so its negative 26 -16

so for above the line it is -42

now with the bottom line it should look like.....

-42

________________________

(-4-9-12)+4

now to work on the bottom line.....

(-4-9-12)+4

so start by subtracting 9 from -4 so it is -13

then subtract 12 from there so its -25 then add 4

so it is -21 for the bottom line. now your problen should look like:

-42

____

-21

then you would divide -42 by -21 and your solution is....

2

i hope that really helped. if it is confusing then just send me an email to [e-mail]. thanks for a great question to answer.

Answer 2

The first one needs the brackets to show that all of the quantity [3+(6+3)] is in the denominator. Brackets are treated just like parentheses. Work from the innermost set outward.

In the second one, yes, 3^2 - 5*7 - 4^2 is in the numerator and (-4-9-12)+4 is in the denominator.

To solve the first one, do the innermost set of parentheses first:

12/[3+9]

Then do the next level out (the brackets)

12/12

Finally, you can do the division:

1

The second one, sticking strictly to PEDMAS would go like this. First do the parentheses in the denominator:

(3^2 - 5*7 - 4^2)/[(-4-9-12)+4]

(3^2 - 5*7 - 4^2)/[-25+4]

Note that I added parentheses and brackets to indicate the terms in the numerator and denominator rather than trying to draw a long line, which never seems to show up right in Y!.

Next, do the exponentiation in the numerator. Since there are two terms with exponents and they are separate, you can do them both at the same time:

(9 - 5*7 -16)/[-25+4]

Next do you multiplication:

(9 - 35 - 16)/[-25+4]

Do the parentheses in the numerator and denominator

-42/-21

And finally do the division

2

In reality, you can combine a lot of steps. As long as there is no confusion, you can, for example, do both exponents and the multiplication in the numerator and the parentheses in the denominator all in one step. So from

(3^2 - 5*7 - 4^2)/[(-4-9-12)+4]

We can go directly to

(9 - 35 - 16)/(-25+4)

Then combine the terms of the numerator and denominator in one step

-42/-12

And finally do the division

2

Answer 3

PARENTHESES

EXPONENTS

MULTIPLY

DIVIDE

ADD

SUBTRACT

the 12/[3+(6+3)] question is simple... you do 6+3 =9

then 3+that 9  so the equation looks like 12/ [3+9]

then 12/12

answer 1

the brackets are just a different type of parenthesis

the line beneath it means that you divide the top equation by the bottom

5

--

7

is the same as 5/7 or five sevenths

Answer 4

The brackets are just another form of parenthese , treat em the same

12/(3+(6+3))

12/(3+(9))

12/(12)

1

I'd guess the secondone must be a fraction.  Just do the steps

[3^2 - 5*7 - 4^2]/[(-4-9-12)+4]

[3^2 - 5*7 - 4^2]/[(-25)+4]

[3^2 - 5*7 - 4^2]/[-21]

[9 - 35- 16] / -21

[-42]/-21

2