Question

what is the order of operation that I do this problem?
2+9*[7+3*(9+5)]

Answer 1

are you familiar with PEMDAS

Answer 2

yea

Answer 3

what does it stand for

Answer 4

parenthesis , exponents, multiply, divide. addition, subtraction

Answer 5

good

Answer 6

since there are no exponents in this problem, we won't have to worry about them

Answer 7

but not sure which ones to do first

Answer 8

so we're basically focusing on parenthesis first

Answer 9

we start with parenthesis

Answer 10

so look at the inner most parenthesis

Answer 11

inside that is 9+5

do that operation to get 14

Answer 12

so

2+9*[7+3*(9+5)]

turns into

2+9*[7+3*(14)]

which is really the same as

2+9*[7+3*14]

Answer 13

now reset and start over

start by looking for any parenthesis

there is one group of parenthesis (brackets actually)

so we focus on the stuff in the brackets, which is 7+3*14

Answer 14

so 10*14

Answer 15

look at 7+3*14 and follow PEMDAS to evaluate

Answer 16

no

PEMDAS says that multiplication comes before addition

Answer 17

3*14+7

Answer 18

so

7+3*14

becomes

7+42

which becomes

49

Answer 19

yes you can look at it like that too

Answer 20

so because 7+3*14 evaluates to 49, we can say

2+9*[7+3*14]

turns into

2+9*[49]

which is the same as

2+9*49

Answer 21

now use PEMDAS to evaluate 2+9*49

Answer 22

so 49*9+2 right?

Answer 23

yep, what's next

Answer 24

441

Answer 25

good, that means

49*9+2

becomes

441+2

Answer 26

and that your final answer is 443

so in the end, 2+9*[7+3*(9+5)] = 443

Answer 27

443

Answer 28

good

Answer 29

thank you , these things confuse me even though Ik the PEMDAS

Answer 30

just practice a bunch more and it'll become second nature to you

Answer 31

TY

Answer 32

np