Order of Operations in Mathematics
Order of Operations
Mr. Clutter
VMS Library
Order of Operations
A standard way to
simplify mathematical
expressions and
equations.
Purpose
Avoids Confusion
Gives Consistency
For example:
8 + 3 * 4 = 11 * 4 =
44
Or does it equal
8 + 3 * 4 = 8 + 12 =
20
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The Rules
1.
Simplify within Grouping Symbols
( ), { }, [ ], | |2.
Simplify Exponents
Raise to Powers
3.
Complete Multiplication and Division
from Left to Right
4.
Complete Addition and Subtraction
from Left to Right
Back to Our Example
For example:
8 + 3 * 4 = 11 * 4 =
44
Or does it equal
8 + 3 * 4 = 8 + 12 =
20
Using order of operations, we do the
multiplication first. So what’s our
answer?
20
How can we remember it?
Parenthesis
-
Please
Exponents
-
Excuse
Multiplication
-
My
Division
-
Dear
Addition
-
Aunt
Subtraction
-
Sally
Summary
Key points to remember that will give
audience confidence or improve morale
This powerpoint was kindly donated to
www.worldofteaching.com
http://www.worldofteaching.com
is home to over a
thousand powerpoints submitted by teachers. This is a
completely free site and requires no registration. Please
visit and I hope it will help in your teaching.
Order of operations is a set of rules agreed upon by mathematicians to simplify mathematical expressions and equations, ensuring consistency and avoiding confusion. By following these rules, which prioritize operations such as parentheses, exponents, multiplication, division, addition, and subtraction in a specific order, complex calculations can be accurately solved. The mnemonic "Please Excuse My Dear Aunt Sally" can help in remembering the order of operations.
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Presentation Transcript
Order of Operations Mr. Clutter VMS Library
Order of Operations A standard way to simplify mathematical expressions and equations.
Purpose Avoids Confusion Gives Consistency For example: 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 8 + 12 = 20
Order of operations are a set of rules that mathematicians have agreed to follow to avoid mass CONFUSION when simplifying mathematical expressions or equations. Without these simple, but important rules, learning mathematics would be maddening.
The Rules Simplify within Grouping Symbols ( ), { }, [ ], | | Simplify Exponents Raise to Powers Complete Multiplication and Division from Left to Right Complete Addition and Subtraction from Left to Right 1. 2. 3. 4.
Back to Our Example For example: 8 + 3 * 4 = 11 * 4 = 44 Or does it equal 8 + 3 * 4 = 8 + 12 = 20 Using order of operations, we do the multiplication first. So what s our answer? 20
How can we remember it? Parenthesis Exponents Multiplication Division Addition Subtraction - - - - - - Please Excuse My Dear Aunt Sally
Summary Key points to remember that will give audience confidence or improve morale
This powerpoint was kindly donated to www.worldofteaching.com http://www.worldofteaching.com is home to over a thousand powerpoints submitted by teachers. This is a completely free site and requires no registration. Please visit and I hope it will help in your teaching.
