Multiplying Integers

*January 13, 2014*

There are 4 different kinds of equations that you'll might come across whenever you are multiplying integers.

Here are some examples...

(+2) x (+6) (+2) x (-6)

These two equations have one important thing in common. Both equations are able to

*make**groups*or in other words, you are using*repeated addition.*
What is repeated addition?

How do you make groups?

Repeated addition is another way of multiplying. Instead, we add the groups of numbers we need. In this situation, the equation is...

(+2) x (+6)

Repeated Addition is simple... (+6) + (+6) = (+12)

As you can see, we are technically adding instead of multiplying.

The equation asks you for

*2 groups of +6*meaning, you should end up with 2 positive 6s'__two groups of 6__

__(+6) + (+6) = 12__

words repeated addition

Here is another equation that relates to

*making groups*
(+2) x (-6)

This is a different equation because instead of making groups of positive numbers, you are making groups of negatives. The steps are still the same.

You have two groups of (-6)

(-6) + (-6) = (-12)

__two groups of negative six__

__(-6) + (-6) = (-12)__

words repeated addition

The next equations will be a little different. Instead of making groups, we are

*removing*them.
(-3) x (+3) (-3) x (-3)

The trick is to

*add zero pairs*

*♫ Whenever something is not there, You must add a zero pair! ♫*

(-3) x (+3)

In words this would be,

*remove*two groups of three
You must indicate the arrows pointing out. This will show that you are

*removing.*

Remove two groups of positive three = owe 9

(-3) x (-3)

Remove three groups of negative three = have 9

Making groups -

*join*the party
Removing groups -

*leave*the party

*Here's a video that I hope will make it easier for you to understand multiplying integers*

*Also, if you feel the need for a game to help you with this topic, try this game out!*

Thanks For Reading

*&*

Good Luck!

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ReplyDeleteThank you for including pictures and explaining every step you go. Thanks a lot! really helped. :)

ReplyDeleteyour pictures are very nice, and your explanations are awesome. your scribe post is very clear, and easy to understand, Thank you !!

ReplyDelete