Question

Evaluate [3 - (3 - 7(4 - 7) + 7)] + 2

Answer 1

first of all we need to solve what is in parentheses: so what is 4-7=?

Answer 2

BODMAS rule
Bracket
Of
Division
Multiplication
Addition
Subtraction

Answer 3

-6 is wrong

Answer 4

so sorry, my little brother...

Answer 5

-3

Answer 6

Each step is not too hard, but you need to do them in the correct order
start with
[3 - (3 - 7(4 - 7) + 7)] + 2

notice you have (4-7) in parens. do that first, 4-7 is -3 (as you know)
replace the (4-7) with -3, and you now have
\[ [ 3 - (3 -7\cdot -3 +7)]+2 \]

you still have some parens. look at
(3- 7*-3 +7)
you have add/subtract and multiply
which do you do first ?

Answer 7

multiply

Answer 8

pemdas

Answer 9

@phi

Answer 10

yes, so in
(3- 7*-3 +7)
what do you multiply and what do you get ?

Answer 11

3+21+7 = 31 ?

Answer 12

yes, but you should be sure of how you get that.
one way:
7*-3 is -21
so you now do (3 - (-21) + 7) = 3+21 +7

2nd way
write it as
(3 + -7*-3 + 7)
notice instead of 3 -7 we can write it as 3+ -7 (it means the same thing)
now do -7*-3 to get 21
and you have (3+21+7)

Answer 13

yay i did it right :) :)

Answer 14

minus signs can be a pain, so try to learn the tricks.

meanwhile
[3 - 31] + 2

now do the parens (or brackets in this case, which they used for "readability")

Answer 15

-26?

Answer 16

3-31 is -(31-3) (the rule is do big minus small, and use the sign of the bigger number)
so -28
now add 2 -28+2
I would just make -21 two bigger to get -26
or you can write it 2+-28 or 2-28 and use the rule -(28-2) = -26

Answer 17

i kept adding wrong so i was getting confused. then it didnt help that i entered it wrong in the calculator :P

Answer 18

thanks for the help :)

Answer 19

yes, arithmetic can require "attention to detail". If you have a tendency to lose your place or make silly mistakes then you have to slow down and think through each step. Like anything, (for example , learning to read or write), you will get it with practice. (Of course you have to work hard.)

Answer 20

im great at reading and wrting and usually these kind of equations. i dont know what happened :P would it be okay to tag you if i have other math questions?

Answer 21

yes

Answer 22

sorry..its 30