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

The order of operations determines the sequence in which mathematical operations should be performed in a numeric expression. It follows the rules of parentheses, exponents, multiplication and division, and addition and subtraction.

Step-by-step explanation:

The order of operations is a set of rules that determine the sequence in which mathematical operations should be performed in a numeric expression. These rules help ensure that the expression is evaluated correctly and consistently. The order of operations is:

1. Perform operations inside parentheses or other grouping symbols first.
2. Calculate exponents or square roots.
3. Multiply or divide from left to right.
4. Add or subtract from left to right.

Let's look at an example: 8 - 4 * 2. According to the order of operations, you should perform the multiplication first: 4 * 2 = 8. Then, subtract 8 from 8 to get the final answer of 0.

Answer 2

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.