# Basic Math

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• Published : February 14, 2012

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Discussion Question 1

Make two arithmetic expressions where you use PEMDAS rule to simplify the expression. All the work should be shown. Make sure the expressions include all the order of operations in them: Parenthesis, Exponents, Multiplication and Division, addition and subtraction.

Simplifying the Expressions:

Example 1:
(4 + 5) * 4 – 3^2 + 9(2)
9 * 4 – 3^2 + 9(2) Parentheses—Addition
9 * 4 − 9 + 9(2) Exponents
36 − 9 + 18 Multiplication, Left To Right
27 + 18 Subtraction, Left To Right

Example 2:
3 + 7 (23 − 6) ^2
3 + 7 (8 − 6) ^2 Parentheses—Exponents
3 + 7 (2) ^2 Parentheses—Subtraction
3 + 7 (4) Exponents
3 + 28 Multiplication

Why are the orders of operations required when simplifying expressions?

The Order of Operations is very important when simplifying expressions and equations.

The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.

This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers.

The Order of Operations is shown below:

Parentheses and Brackets: Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.

Exponents: Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.

Multiplication and Division: Simplify multiplication and division in the order that they appear from left to right.

Addition and Subtraction: Simplify addition and subtraction in the order that they appear from left to right.

To remember the order of operations of PEMDAS is using the phrase: "Please Excuse My Dear Aunt Sally"…

Hope you like it…