Question

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.

Answer 1

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.