Integers Order of Operations

Bodmas Pemdas Rules

In countries like Australia, we use the “BODMAS” or “BOMDAS” Rule for doing maths operations in the correct order.

In the USA, and some other countries, use the “PEMDAS” Rule for doing their maths operations.

“Operations” are any of the following: Brackets, Squares, Powers, Square Roots, Division, Multiplication, Addition, and Subtraction.

Operations Introduction

Consider the following question:

1 + 2 x 5

There are two possible ways of doing this question:

the right way, and the wrong way!

Bodmas of 1 plus 2 times 5

If you are having trouble thinking about which one is the correct answer, then think about a money sum.

If someone gave you one dollar plus two five dollar notes, then the total would be $11.

It would not be $15.

Now consider this next question:

2 + 3 x -4

Again there are two possible ways of doing this question:

the right way, and the wrong way.

Bodmas Integers wrong and right example

We must follow the “Order of Operations” carefully in Mathematics to arrive at correct answers.

 

BODMAS Video

For countries like Australia that use BODMAS, the following five minute video covers how everything works.

 
 

PEMDAS Video

For countries like the USA which use PEMDAS, the following ten minute Video explains all of the key concepts.

 

 

Integers Examples
 

Example 1 : Multiplication and Addition

Bodmas Example 1

 
 

Example 2: Multiplication and Division

Bodmas Example 2

 
 

Example 3: Brackets Multiplication and Division

Bodmas Example 3

 
 

Example 4: Brackets Division and Multiplication

Bodmas Example 4

 
 
 

Example 5: Brackets Addition and Subtraction

Bodmas Example 5

 
 

BODMAS / Pemdas Summary

Once you have done a few practice questions, the following should become a lot more familiar.

Bodmas Summary

 
 

BODMAS Song

Here is a catchy little tune to help you remember the BODMAS order of operations.

 
 

Related Items

Introduction to Integers
Arranging Integers in Order
Adding Integers Using Number Lines
Adding Integers Using Zero Pairs
Subtracting Integers
Multiplying Integers
Dividing Integers
Directed Number Integers Games
Integers in the Real World
Integers in Drag Racing

If you enjoyed this post, why not get a free subscription to our website.
You can then receive notifications of new pages directly to your email address.

Go to the subscribe area on the right hand sidebar, fill in your email address and then click the “Subscribe” button.

To find out exactly how free subscription works, click the following link:

How Free Subscription Works

If you would like to submit an idea for an article, or be a guest writer on our blog, then please email us at the hotmail address shown in the right hand side bar of this page.

Free Gift Header

If you are a subscriber to Passy’s World of Mathematics, and would like to receive a free PowerPoint version of this lesson valued at $3.99, but 100% free to you as a Subscriber, then email us at the following address:

Email address image

Please state in your email that you wish to obtain the free subscriber copy of the “Bodmas / Pemdas Order of Operations” Powerpoint.

Enjoy,
Passy

Share
This entry was posted in Directed Numbers, Integers and tagged , , , , , , , . Bookmark the permalink.