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. [youtube http://www.youtube.com/watch?v=kISbq2p8ZOs]     PEMDAS Video For countries like the USA which use PEMDAS, the following ten minute Video explains all of the key concepts. [youtube http://www.youtube.com/watch?v=ClYdw4d4OmA]     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. [youtube http://www.youtube.com/watch?v=Z-FKjqL6NyQ]     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
Posted in Directed Numbers, Integers | Tagged , , , , , , , | Leave a comment

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. [youtube http://www.youtube.com/watch?v=kISbq2p8ZOs]     PEMDAS Video For countries like the USA which use PEMDAS, the following ten minute Video explains all of the key concepts. [youtube http://www.youtube.com/watch?v=ClYdw4d4OmA]     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. [youtube http://www.youtube.com/watch?v=Z-FKjqL6NyQ]     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
Posted in Directed Numbers, Integers | Tagged , , , , , , , | Leave a comment

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.

[youtube http://www.youtube.com/watch?v=kISbq2p8ZOs]

 
 

PEMDAS Video

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

[youtube http://www.youtube.com/watch?v=ClYdw4d4OmA]

 

 

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.

[youtube http://www.youtube.com/watch?v=Z-FKjqL6NyQ]

 
 

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
Posted in Directed Numbers, Integers | Tagged , , , , , , , | 4 Comments

Dividing Integers

Divide Zero Poster
Image Source: http://funnydemotivationalposters.com

A question like -6 divided by -2 is asking us this:

How many lots of -2 are contained in -6 ?


We could probably work this out in our head, or else draw a diagram to help us get the answer.

Div Lots of Example

The above example shows that a negative number divided by a negative number gives a positive answer.

If we do the mathematics for all possible combinations, we find that the following applies.

Div Int Rules

These dividing rules can be summarised in the following diagram.

Div Int Summary Rules

If we go back and look at our previous lesson on Multiplying Integers, by clicking the following link:

http://passyworldofmathematics.wordpress.com/2012/02/04/multiplying-integers/

we notice that the dividing rules for answers are exactly the same as the multiplying rules.

Dividing Integers Examples

The following examples show how to work out the four main types of Integer Dividing Questions.

The working out steps are as follows:

1) Write down the question

2) Work out which of the four Dividing Rules we need to use to get the Sign of the answer (eg. Positive or Negative answer).

3) Pretend the signs are not there, and divide the numbers as normal.

4) Combine the results from steps 2 and 3 to form the final answer.

 

Dividing Integers Example 1

Div Int Q1

 
 
 

Dividing Integers Example 2

Div Int Q2

 
 
 

Dividing Integers Example 3

Div Ints Q3

 
 
 

Dividing Integers Example 4

Div Ints Q4

 
 
 

Dividing Integers Game

This game covers addition, subtraction, multiplication, and division questions.

To practice dividing, do the Division questions in this game.

You can play it alone or in teams.

To take our turn, we click on a points score box to get a question to do in the given category.

Click on the image below, or the link which follows, to play this game.

Int Ops Jeapordy Game

http://www.math-play.com/Integers-Jeopardy/Integers-Jeopardy.html

Related Items

Introduction to Integers
Arranging Integers in Order
Adding Integers Using Number Lines
Adding Integers Using Zero Pairs
Subtracting Integers
Multiplying Integers
Integers Order of Operations
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.

Enjoy,
Passy

Share
Posted in Directed Numbers, Integers | Tagged , , , , , , , | 4 Comments

Integer Directed Numbers Games

Nbr Balls Opening Pic

The above image is a screenshot from an exciting online Integers Game called “Number Balls”.

This lesson contains plenty of online Integer games.

Use these games for practicing your skills with Integers.

For each game an image is shown that describes the game.

You can then click either this image, or the text link below the image, to play the game in a new browser window.

Many of these games are written in Adobe Flash and Java. Therefore they may not work on Apple devices.

Ordering Integers Number Balls

In this game we click the lowest Integer balls first, and keep clicking balls until they all are zapped.

We then progress to higher game levels that have more and more spinning balls for us to click on in the correct order.

Click on the image below, or the text link which follows, to play this game.

Nbr Balls Integers Ordering Game

http://themathgames.com/our-games/arithmetic-games/order-positive-negative-integers/

Ordering Integers Hats Game

In this game we click and drag with the mouse to put the number hats onto people in lowest to highest number order.

We then click on the “check” button when we are finished, and can use the right arrow to get another question to do.

Click on the image below, or the text link which follows, to play this game.

Integer Hats Ordering Game

http://www.primaryresources.co.uk/online/negnumorder.swf

Ordering Integers Space Race

This is a Space Invaders type game where we have to shoot the lowest Integer enemy ship, as well as avoid touching the other two enemy ships.

Use the left and right arrow keys to move, and the space bar to shoot.

Click on the image below, or the text link which follows, to play this game.

Ordering Integers Space Race Game

http://www.xpmath.com/forums/arcade.php?do=play&gameid=80

Ordering Integers Train Game

In the following game, use the mouse to put the three red Integer numbers in order onto the carriages and the train engine.

The biggest number always goes onto the steam engine.

It is very important to place the numbers exactly in the middle of the carriages and engine like this:

Pic of placing nbrs on train

Click on the image below, or the text link which follows, to play this game.

Note that you will probably have to page down the screen a bit to get to the actual game.

Integers Order Train Game

http://www.scweb4free.com/train1.html

Adding Integers Spider Match

This fun game helps us learn how to add Integers.

Click on a pair of numbered flies that add up to the required value in the center of the web and your spider should then eat them and give you a score.

Click on the image below, or the text link which follows, to play this game.

Spider Add Integers Game

http://www.arcademicskillbuilders.com/games/spider-match/spider-match.html

Adding Integers Orbit Integers

This is a fun space race, where we have to answer Integer addition questions correctly to power our spaceship.

Click on the image below, or the text link which follows, to play this game.

Integers Orbit Game

http://www.arcademicskillbuilders.com/games/orbit-integers/orbit-integers.html

Integer Warp Multiplying Game

This is a similar game to Orbit Integers, but has multiplying questions instead of addition.

We need to know our multiplying rules which are:

– x – = a Positive answer (Same Sign = Positive answer)

and

+ x – = a Negative answer (Different signs = Negative answer)

Click on the image below, or the text link which follows, to play this game.

Integers Warp Multiplying Game

http://www.arcademicskillbuilders.com/games/integer-warp/integer-warp.html

Minus Mission (The Slime Game)

This is not an Integers game, but is still fun, especially if we play it at the fast speed setting. It will certainly sharpen up your subtraction skills.

Click on the image below, or the text link which follows, to play this game.

General Subtraction Game

http://www.arcademicskillbuilders.com/games/mission/mission.html

Inequalities True False Game

In this game we drag each statement with the mouse and place it in the top of screen True or False box.

The game keeps score of our answers, and will not let an incorrect answer be placed into the wrong box.

Click on the image below, or the link which follows, to play this game.

Inequalities True False Game

http://www.kubbu.com/?s=inequalities-true-false

Add and Subtract Mystery Picture

In this game we find out what’s behind the tiles, a bit like a jigsaw puzzle.

Click on the button with the problem then click on the result on the left.

If we are correct, part of the picture is revealed.

Add Subtract Integers Puzzle Pic

http://www.dositey.com/2008/addsub/Mystery11addsub.htm#s

Integer Operations Jeopardy Game

This game covers addition, subtraction, multiplication, and division sums.

You can play it alone or in teams.

To take our turn, we click on a points score box to get a question to do in the given category.

Click on the image below, or the link which follows, to play this game.

Int Ops Jeapordy Game

http://www.math-play.com/Integers-Jeopardy/Integers-Jeopardy.html

American Football Adding Integers Game

This fun game helps us learn how to add Integers.

A loss of years means a negative number, and a gain in yards means a positive number.

We click the mouse at the correct position on the number line to show the result of each world problem.

Click on the image below, or the link which follows, to play this game.

Gridiron Integers Adding Game

http://www.mathgoodies.com/games/integer_game/football.html

Line Jumper Adding and Subtracting Integers Game

In this game we are shown a number line.

We then click on the number line at the correct answer.

Click on the image below, or the link which follows, to play this game.

Add Subtract Line Jumper Game

http://www.funbrain.com/linejump/index.html

Walk The Plank Adding and Subtracting Game

In this game we have to move our mouse over each of the Pirates, and they will each say a different answer.

We then click on the Pirate answer which we believe is the correct one.

Click on the image below, or the link which follows, to play this game.

Walk the Plank Game

http://www.math-play.com/integers-game.html

Subtracting Integers Car Racing Game

This game starts off with us using the left and right arrow keys to drive our car in a race, and then after a little while we have to stop and do an Integer Subtraction question.

If we get the question right, we get bonus items like a rocket booster pack to fly our car for a while, until the next question comes.

Click on the image below, or the link which follows, to play this game.

Subtracting Integers Car Race Game

http://www.math-play.com/math-racing-subtracting-integers-game/math-racing-subtracting-integers-game.html

Subtracting Integers Fish Game

In this fun game we have to click the letter that is the correct answer, before the fish swims to this correct answer.

Click on the image below, or the link which follows, to play this game.

Subtracting Integers Fish Game

http://www.slidermath.com/integer/SlamnS.shtml

Subtracting Integers Speed Test

This is more of an online speed test than a game.

However, it will certainly improve your Integer Subtraction skills.

Click on the image below, or the link which follows, to play this game.

Sub Integers Speed Test

http://www.basic-mathematics.com/subtracting-integers-game.html

Subtracting Integers Online Quiz

This online test will check how well we know our Integer Subtracting.

Click on the image below, or the link which follows, to play this game.

Sub Integers Online Quiz

http://www.aaamath.com/sub65_x4.htm

Integer Operations Stick Figure Battle

This game has levels that can be chosen at the start of the game and covers Addition, Subtraction, Multiplication, and Division of Integers.

Click on the image below, or the link which follows, to play this game.

All Ops Integer Fight Game

http://www.xpmath.com/forums/arcade.php?do=play&gameid=94

Multiplying and Dividing Integers Game

This is a kind of deal or no deal game quiz on multiplying and dividing integers.

Click on the image below, or the link which follows, to play this game.

Multiply and Divide Integers Game

http://www.math-play.com/multiplying-and-dividing-integers-game.html

Connect Four Game Using Integer Operations

At the start of this game we can choose what we want to include including addition, subtraction, multiplying, etc as well as the difficulty level.

Click the “Ready” button to get your question and start each move, and the “Answer” button to check each answer.

It is basically Connect Four against an opponent, and we need to get questions correct to drop our colored discs into the connect four.

Click on the image below, or the link which follows, to play this game.

Connect Four Integers Game

http://www.shodor.org/interactivate/activities/ArithmeticFour/

Moving Along Number Line Game

Move the helicopter to the same level as the pod to be able to shoot and destroy it.

It is a little bit tricky in that you click the sign button, then enter a number, then click Go.

Click on the image below, or the link which follows, to play this game.

Nbr Line Game

http://pbskids.org/cyberchase/math-games/space-coupe-rescue/

Hope you have fun improving your Integer Skills with this awesome collection of games.

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
Integers Order of Operations
Integers in the Real World
Integers in Drag Racing
Decimal and Percentage Games
Equations Games

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.

Enjoy,
Passy

Share
Posted in Games, Integers | Tagged , , , , , , , , , , , , , | 11 Comments