Exponents and Order of Operations

Tutoring on Exponents and Order of Operations

Learning Objectives:

Understand to Evaluate Expressions using Exponents and Order of Operations

Math Tutoring on Exponents and Order of Operations

Exponents are used to shorten or condense repeated multiplication such as:

The term  is written using Exponential Notation, ‘2’ is the Base and ‘5’ is the Exponent. The Exponent or Power indicates the number of times that the Factor or Base is multiplied.

In general, for any natural number ‘n’: ‘bn’ means n factor of base ‘b’. If there is no exponent given, it is to the 1st power.

If we are working with a Mathematical Expression that contains more than one Operation, then we need to understand how to simplify.

Rules for Order of Operations:

1.    Calculate within the innermost Parentheses or Grouping Symbols, ( ), [ ], { }, and above or below Fraction Bars.

2.    Simplify all expressions with Exponents.

3.    Multiply and Divide from left to right.

4.    Add and Subtract from left to right.

For easy remembering, an acronym PEMDAS is vastly used. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.



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Hook Questions:

1.    What are the Exponents?

2.    What is the Order of Operations for solving mathematical expressions containing Exponents?



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