PEMDAS Problems: Easily Simplify Equations Using PEMDAS
This article will show you how to easily simplify equations using PEMDAS problems. PEMDAS defines the order of operations or the order in which math operations are performed.
To Get A Free Report On
16 Proven Ways To Motivate Your Child To Do Better In School
Plus, receive a "Live Demonstration Inside Our Unique 1 On 1 Online Classroom."
When solving math expressions such as:
You have to know the order in which to do the various operations. Do you subtract 3 from 18 then multiply by four?
(18-3) x4 = 60
Or do you do the multiplication first?
18-(3x4) = 6
As you can see you get vastly different results. This is where understanding PEMDAS problems and the order of operations is important, because it tells you which math operator to use first (+,-, x, /) and in which order.
The letters in PEMDAS stand for the following:
MD-Multiplication and Division
AS-Addition and Subtraction
To simplify an expression you apply PEMDAS to the expression one step at a time. First look for parenthesis, then exponents, then multiplication and division and finally addition and subtraction. Apply multiplication and division from left to right in the order of which they appear. Do the same for addition and subtraction.
Consider the following expression. (The "^" is used to indicate exponents. 4^2 means 4 squared.)
First, work on the parenthesis. (8x4^2)
Inside the parenthesis you must again apply PEMDAS. There are no other parentheses inside the first set but there is an exponent. Apply the exponent and then do the multiplication.
8x4^2 = 8x16 = 128
The equation now reads:
128 – 3(6+2) + 9 – 20/5.
Now work on the second parenthesis.
6+2 = 8
128 – 3x8 + 9 – 20/5
There are no more parentheses. Working left to right, is there any multiplication or division? YES.
*** AT THIS POINT MANY STUDENTS WANT TO DO ADDITION AND SUBTRATION – DON’T LET THEM ***
Do all multiplication and division.
3x8 = 24
20/4 = 5
After multiplication and division you end up with 128 – 24 + 9 – 4. Just work this problem from left to right and get:
128 – 24 -> 104
+9 -> 113
-4 -> 109
Solving seemingly complex expressions becomes easy by applying PEMDAS problems to the expression one step at a time. Do not try to do multiple steps at once, this often leads to errors.
Try one yourself.
(5+ (3^3-8))/6+8(3+4) -21
Did you get 39?
Build Student Self Confidence With an Online Private Math Tutor
How to Find the Inverse of a Function
Does Your Child Need Help with Math?
5 Ways to Become a Better Math Student
6 Characteristics to Look For in a Math Tutor
30 Trusty Tips: Learn Math Skills to Improve Grades in School
5 Ways to Boost Confidence in Math
4 Ways to Succeed With Story Problems
7 Steps NOW For Your Child To Get Good Math Grades Next School Year
Five Steps To Lift Your Child's Math Grades to A's
Math Anxiety Tips
Online Help with Geometry
Five Steps On How To Improve Your Child's Math Grades To A's
Eliminate Learning Loss with Fun Summer Math Activities
Tips for Parents: Helping Kids with Math Homework
Teaching Students Trigonometric Radians: Degrees to Radians and Back
Help with Math Equations: Using Letters in Math?
Tips, Tricks and Strategies: Help Solving Word Problems
Three Easy Ways to Help With Elementary Math
6 Word Problem Solving Strategies to Help Reduce Math Anxiety
Five Steps to Improve Mathematics Problem Solving Skills
Calvary Tutoring Services: Learn with an Online Mathematics Tutor
How to Easily and Simply Use Rules in Mathematics
Understanding the Ti 84 Solve Function
Six Strategies to Tackle Challenging Math Word Problems
Solve Compound Interest Problems using the Ti 84 Calculator
Algebra 1 Homework Help for Your Child
Learning about Fractions: Why Johnny (Jenny) Can't Do Fractions
Five Guaranteed Ways to Get an A in Math
Six Tips for Using a Graphing Calculator
Solving Real World Math Problems Using Rate, Time, and Distance
Never Too Young: How to Teach Algebra to Kids
Three Steps to Improve Math Grades
Math is Beautiful
Shattering Five Math Fear Myths
Learning Fractions is a Piece of Cake!
Math Tutor Help: Understanding YX OIC 2EZ
The Basics of Inductive vs. Deductive Reasoning
How to Achieve Successful Homework Completion by Overcoming Math Fear
Math Fear: Overcoming Test Anxiety
Calculator Use Tips: Four Reasons for Students to Use Calculators
Five Magical Strategies for Increasing Math Confidence
Teaching Number Sense to Your Children is Easy with Number Counting
Counting Change: A Fun and Useful Way to Improve Math Skills!
Math from the Positive Side: Live Online Tutoring
Overcoming Anti-Math Bias
Correct Math Operations: Putting the Cart before the Horse
7 Advantages of Choosing Online Math Tutoring for Your Student
Math for Slow Learners
How to Multiply Faster Than a Calculator
Four Steps to Follow When Solving Math Word Problems
Online Tutoring in Mathematics: Get Your Child Excited About Math
6 Word Problem Strategies to Help Reduce Math Anxiety
The Five Fundamentals for Teaching Math
Simple Strategies That Can Help Your Child Become a Math Superstar
You Can Have the Michael Jordan of Online Math Tutors
The ABC’s of Learning X, Y and Z in Algebra
Effective Math Problem Solving Strategies
4 Fun Ways to Learn Multiplications Facts
Why Math is Important for Every Child to Learn
How to Improve Math Skills for Kids
8 Ways to Be Better at Math
How to Solve Math Word Problems: Tips for Reducing Word Problem Stress
New School Year Math Preparation
Conquering the Enemy: 7 Ways to Wipe Out Careless Math Errors on Tests
How to Excel in Math
Tips for Learning Math
Students Click Here
Free Report How To Start An Online Tutoring Business
Blueprint For Online Tutoring Success eBook
How To Start An Online Tutoring Business MP3 interview
Free Online Tutor Forum
Tutor and Grow Rich ebook
Free A+ Parenting Video Series & Handouts
Online Tutoring Service
Free Online Tutoring Demonstration
A+ Parenting DVD Collection
Discipline & Parenting Techniques
Health, Nutrition and Fitness
Learning Styles and Techniques
Managing an Online Tutoring Business
Motivating Your Child or Student
Online Tutoring Business Opportunities
Online Tutoring Defined
Test Preparation & Study Skills
Work From Home