*integers lesson*

When multiplying integers, here is the basic lesson.

Here's an example:

(+7) x (+2)=

In words, this would be seven groups of positive 2.

In repeated addition: (+2) + (+2) + (+2) + (+2) + (+2) + (+2) + (+2) =

You could use integer chips as so:

The red symbolizes positive.

You can also represent this equation as a number line, either vertical or horizontal.

And you'll have your answer, which is (+14).

Here's something new:

(-168) x (-1)=

(+168) = answer. :)

See, it's a positive product.

Let's try this again.

(-4) x (-1) x (-3) x (+2) =

by following the same rule from before, this must be a negative product since there are 3 negative signs, and 3 is odd.

(-4) x (-1) x (-3) x (+2) =

(+4) x (-3) x (+2) =

(-12) x (+2)=

(-24) = answer

Let's try with more factors.

(-4) x (+2) x (-1) x (+1) x (-5) x (+1) =

There are 3 negatives, and 3 is an odd number meaning that the answer is going to be a negative product.

(-4) x (+2) x (-1) x (+1) x (-5) x (+1) =

(-8) x (-1) x (+1) x (-5) x (+1) =

(+8) x (+1) x (-5) x (+1) =

(+8) x (-5) x (+1) =

(-40) x (+1) =

(-40)= answer.

See it wasn't that bad.

If you're having problems with multiplying integers, please refer to the video below,

Here's an example:

(+7) x (+2)=

In words, this would be seven groups of positive 2.

In repeated addition: (+2) + (+2) + (+2) + (+2) + (+2) + (+2) + (+2) =

You could use integer chips as so:

The red symbolizes positive.

You can also represent this equation as a number line, either vertical or horizontal.

And you'll have your answer, which is (+14).

Here's something new:

*scribe rule*

*When the integers have the same value (+ or -), the product is positive.*

*When the integers have different values (+, - ), the product is negative.*

Let's apply this rule.

(+5) x (+4) =

*Just multiply and then see whether or not the signs match or not.*

*5x4= 20*

*both positive, so the answer is positive.*

*(+ 5) x (+4) = +20)*

(-6) x (+2)=

Multiply, 6x2= 12

They have different signs, meaning it's negative.

(-7) x (-8)=

Find the answer of 7x8, = 56

Then to see whether 56 or the answer is positive or negative, check the signs.

The two signs are the same, meaning the answer is going to be positive.

= (+56)

*sign rule part 2*

*When multiplying integers , count the negative signs. When the number turns out to be an even number, it is going to be a positive product, and an odd number while counting equals to a negative product.*

*For example:*(+4) x (+6) x (-7) x (-1) =

count the negative signs, and there are 2.

2 is an even number, therefor the answer will turn out to be a positive product.

To solve it, just do order of operations.

(+4) x (+6) x (-7) x (--1) =

(+24) x (-7) x (-1) =

**

(+168) = answer. :)

See, it's a positive product.

Let's try this again.

(-4) x (-1) x (-3) x (+2) =

by following the same rule from before, this must be a negative product since there are 3 negative signs, and 3 is odd.

(-4) x (-1) x (-3) x (+2) =

(+4) x (-3) x (+2) =

(-12) x (+2)=

(-24) = answer

Let's try with more factors.

(-4) x (+2) x (-1) x (+1) x (-5) x (+1) =

There are 3 negatives, and 3 is an odd number meaning that the answer is going to be a negative product.

(-4) x (+2) x (-1) x (+1) x (-5) x (+1) =

(-8) x (-1) x (+1) x (-5) x (+1) =

(+8) x (+1) x (-5) x (+1) =

(+8) x (-5) x (+1) =

(-40) x (+1) =

(-40)= answer.

See it wasn't that bad.

If you're having problems with multiplying integers, please refer to the video below,

**

P

Please feel free to play this game, and apply the sign rules to your answers. :)

Integer Multiplication Game

Have fun, and Good Luck! :)

Great job with the pictures! They were very easy to understand and your explanations were very useful! Thanks for adding both, games and video too! Good job man(:

ReplyDeleteThanks for this descriptive explanations! that game looks fun! thank you!

ReplyDeleteyou really did a great job pam in explaining this, :)

ReplyDelete