# Pre-Algebra : Order of Operations

## Example Questions

### Example Question #81 : Order Of Operations

Select the equation that reflects the phrase below.

First subtract  and , then multiply by .

Explanation:

Because we want to subtract  and  first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of

### Example Question #82 : Order Of Operations

Simplify the following expression:

Fol

Explanation:

Follow the rules of order of operations. An easy way to remember them is to remember PEMDAS.

P - parenthesis

E - exponents

M/D - multiplication and division, done in order from left to right

A/S - addition and subtraction, done in order from left to right

By following this, we first evaluate what's in the parenthesis:

Next we evaluate the exponent:

Now we multiply from left to right:

Lastly, we add and subtract from left to right:

### Example Question #81 : Order Of Operations

Simplify:

Explanation:

To solve this problem you must follow the order of operations which are a set of rules that say some mathematical operations are performed sooner than others. The most common acronym to keep track of the order is PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, and lastly Subtraction. Deal with each operation and move onto the next.

Paretheses:

Exponents:

Multiplication:

Subtraction:

### Example Question #83 : Operations

Simplify.

Explanation:

Simplify parentheses:

Evaluate exponent:

Divide:

### Example Question #84 : Operations

Simplify.

Explanation:

Evaluate exponent:

Divide:

Multiply:

### Example Question #85 : Operations

Simplify.

Explanation:

Simplify parenthese:

Evaluate exponent:

Multiply:

### Example Question #86 : Operations

Solve the equation using order of operations.

Explanation:

### Example Question #87 : Operations

Simplify:

Explanation:

Evaluate the inner parentheses first.

Square the quantity inside the parentheses.

Multiply the number before the parentheses with the inner quantity.

Subtract.

### Example Question #83 : Order Of Operations

Solve:

Explanation:

Evaluate the inner parentheses first.

Simplify the denominator.

Solve: