PEMDAS Method

Introduction

In this lesson, you will learn about the P.E.M.D.A.S Method. This method is used when simplifying algebraic expression. This topic will teach what each letter stands for and a few tips and tricks on how to remember and order P.E.M.D.A.S. So let's get started!

P.E.M.D.A.S

 P.E.M.D.A.S. stands for the following:

• P is for Parenthesis
• E is for Exponents
• M is for Multiplication
• (left to right)
• D is for Division
• A is for Addition 
• (left to right)
• S is for Subtraction

Keep in mind that for multiplication and division and also for addition and subtraction, you have to solve from left to right.

The best way to remember  P.E.M.D.A.S. is by remembering the following sentence:

Please Excuse My Dear Aunt Sally


Now, that you know what P.E.M.D.A.S. stands for, let's solve an algebraic expression using P.E.M.D.A.S.

(5 x 3)+14/7-6

According to P.E.M.D.A.S. Parenthesis comes first.

(5 x 3)+14/7-6
15+14/7-6

Next, is exponents but since we don't have any exponents in this, we'll just move on to Multiplication and Division from Left to Right. We only have division.

(5x3)+14/7-6
15+14/7-6
15+2-6

Now, we just have to add or subtract from left to right.

(5x3)+14/7-6
15+14/7-6
15+2-6
17-6
11

Sheet 1 P.E.M.D.A.S Method

How to Find L.C.M by Division Method

What is the Division Method?

The Division Method is just the method we use to divide numbers. In this topic, you will use the division method to find the LCM. Remember that LCM stands for least common multiple.

Finding LCM by Division Method...

Let's take the two numbers 12 and 36.

Now write both of the numbers inside as if you were writing the dividend inside a box for division.

   _______

  {12, 36

[ Please don't mind my box... I tried my best  :) ]

Next, look for a prime number that at least one of the numbers is divisible by. In this case we have two even numbers, so let's try 2.

2  { 12, 36
2  {   6, 18
3  {   3,   9
    {   1,   3

As you can see, we know have our Multiples.
The last step is multiplication.

You need to multiply the outside numbers ( divisors ) and the last two dividends ( 1 and 3 ) together to get the LCM.

Divisors= 2,2,3
Dividends= 1,3

So...
2x2x3x1x3
4x3x1x3
12x1x3
12x3
=36
That means that the LCM for 12 and 36 equals 36!

Sheet 1 Finding LCM by Division Method

Adding through 6-Digit Numbers

Introduction

Adding through 6-Digit Numbers is a very easy topic. Actually, it is a very very easy topic because all you have to do is do simple addition. The only thing you need to be careful about is that in this topic you will be adding a 6-Digit Number by another 6-Digit Number. So let's get started!

Adding 6-Digit Numbers

Let's say that we have a problem such as the following:

  245,793
+348,927
The only step for this topic is addition!

  245,793
+348,927
-----------
  594,720

So, the sum of 245,793 and 348,927 equals 594,720!

That was really easy, right?!

Now try some of the following problems for extra practice!

 Sheet 1 Adding through 6-Digit Digits