what are the steps to solve: 130-9 squared x 2 divided by (31-22)?

Question

Homework assignment. And I'm missing a step.

Answer 1

This is an order of operations problem. The way to remember order of operations is PEMDAS, which stands for parentheses, exponents, multiplication/division, addition/subtraction.  That is the order you complete those operations in. I wrote multiplication/division because multiplication and division are done in the order that they appear in the problem and not necessarily always multiplication before division. Same thing for addition and subtraction.  For example, if you had a problem that was 6-3+2, you would do 6-3 first, because it appears first in the problem.

 

This one is hard without seeing how it is written exactly on the paper, but I'm assuming it looks something like this:

130 - 9² x     2    

               (31-22)

 

If it's written differently, IGNORE THE FOLLOWING and just follow PEMDAS because your answer will most likely be different. However if that's correct:

 

Following PEMDAS, we start with parentheses. We do whatever is in the parentheses first, so 31 - 22 = 9.

 

Next is exponents, 9² = 81.

 

The equation should now look like this:

130 - 81 x 2
                9

 

Multiplication/Division is next. 81 x 2/9 = 18

 

Last is subtraction, 130 - 18 = 112

 

112 is your answer