Explain how the order of operations determines how you simplify a numeric expression. be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. use examples to illustrate your points.

First we solve math inside brackets. They have the highest order.
example: 2+3*(5+4) 
first we solve 5+4 and than multiply it by 3 and finally add 2

after brackets multiplication and division have highest order. We solve them before we solve summing and subtraction.

3+4*5   first we do 4*5
1-5+6/3*5   here it doesnt matter if we first divide 6 by 3 and than multiply by 5 or we multiply 6 and 5 and than divide by 3. They have same order and result will be the same.

Finaly subtraction and addition is done.