simplify: -3^2+8÷2×4-|-9|

Mathematics · High School · Tue Nov 03 2020

Answered on

The answer for -3^2+8÷2×4-|-9| ​ is -2.
Apply the order of operations to get the answer. Order of operation is a sequence of steps that helps to correctly evaluate mathematical problems.
The order of operation's sequence is parentheses, exponents, multiplication, division, addition and subtraction.
Based on PEMDAS, -3^2+8÷2×4-|-9| simplify the exponent 3^2 so it becomes 3*3 =9 then express the unary minus so it becomes -9.
> -9+8÷2×4-|-9| ​ 
Divide 8 by 2
> -9+8÷2×4-|-9|
> -9+4×4-|-9
Multiply 4 by 4|
>-9+4×4-|-9|
> -9+16-|-9|
Add -9 and 16
> -9+16-|-9|
> 7-|-9|
> Get the absolute value of |-9|
> 7-|-9|
> 7- 9
> -2.