Question

Explainhow 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 yourpoints

Answer 1

Firstly, the order of operations is as follows: PEMDAS or parentheses, exponents, multiplication, division, addition, then subtraction.

All of these are done in the exact order given above.

For example, given the equation (4 x 7) + (6 / 2) - 3^2 = ?

1. Parentheses
- Solve the equations within the parentheses first.
(4 x 7) + (6 / 2) - 3^2 = 28 + 3 - 3^2

2. Exponents
- Second, if there are any exponents, solve this.
28 + 3 - 3^2 = 28 + 3 - 9

3. Mulltiplication

4. Division

5. Addition
28 + 3 - 9 = 31 - 9

6. Subtraction
31 - 9 = 22

Answer: 22.

Hope this helps.