Dividing

IntegersI positively have negativefeelings about

this!

Let the confusion End!

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© Mike’s Math Mall

Multiplyin

g

and

PowerPoint!

What the Heck’s an Integer?

Integers are positive and negative “whole” numbers.

…-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7…

Integers do not include fractionsor decimals.

Where do we find these Rascals?When you think about it, integers

are everywhere.

and chemical compounds.

They represent temperatures…

When we multiply or divide integers, there are just a couple of rules we

need to remember.

Where do we find these Rascals?

Date Withdraw Deposit Balance

8/23 –$65 $4,054

9/24 +$150 $4,204

10/10 –$220 $3,984

11/17 +$75 $4,059

They’re in bank statements…

Can you think of

other places we

find integers?

and golf scores.

Multiplying Integers

Whenever we multiply two integers with “like” signs, the answer is

always positive.

−𝟓×(−𝟐)=𝟏𝟎

Multiplying Integers

Whenever we multiply two integers with “unlike” signs, the answer is

always negative.

Dividing Integers

Whenever we divide two integers with “like” signs, the answer is always

positive.

¿𝟏𝟔÷𝟒=𝟒

(−)÷(−)=+¿−𝟏𝟐÷ (−𝟒)=𝟑

Dividing IntegersWhenever we divide two integers with “unlike” signs, the answer is

always negative.

What did you notice about the rules for multiplying and dividing integers?

¿𝟗÷ (−𝟑 )=−𝟑(−)÷ ¿

If you said they’re exactly the same, you’re right!

−𝟏𝟓÷𝟑=¿−𝟓

It’s Time to Show Your Stuff!

6)

¿−𝟖

1)

Multiply or divide the following integers.

4)

5)

2)

3)

¿−𝟑𝟎 ¿𝟑

¿−𝟗𝟎 ¿−𝟔

¿𝟑𝟓

Something to keep in MindHere are some other ways that multiplying

and dividing integers might appear:

−𝟐𝟔 𝟖(−𝟑) (−𝟓)(−𝟏𝟏)Multiplying with a raised dot or using parenthesis:

Dividing with a fraction bar:

𝟏𝟐÷(−𝟒) −𝟗÷(−𝟑)→ →

Multiplying and Dividing Integers

But what ifI have to multiply

or divide more thantwo integers

at once?

Multiplying and Dividing IntegersAn expression with an even number of

negative integers will always produce a positive answer.

An expression with an odd number of negative integers will always produce a

negative answer.

Let’s take a look at a few examples!

Multiplying and Dividing IntegersExample 1:

−𝟐× (−𝟑 )×𝟒× (−𝟐 )=¿

Since there are 3 negative integers (an odd amount), the answer will be negative.

−𝟐× (−𝟑 )×𝟒× (−𝟐 )=¿

Then, multiply from left to right to find the product.

−𝟒𝟖

Multiplying and Dividing IntegersExample 2:

−𝟑𝟐÷𝟐÷𝟒÷ (−𝟐 )=¿

2 negative integers (an even amount) result in a positive quotient.

Divide from left to right to simplify.

𝟐−𝟑𝟐÷𝟐÷𝟒÷ (−𝟐 )=¿

Multiplying and Dividing IntegersExample 3:

𝟐𝟓÷(−𝟓)×𝟒÷ (−𝟒 )×(−𝟐)×(−𝟕)

4 negative integers produce apositive answer.

Multiply and divide from left to right to simplify.

¿𝟕𝟎

Multiplying and Dividing Integers

That’s it! An even number of negative signs equals a positive answer, and an odd number equals a negative answer.

So I justcount negative

signs to determine the sign of my

answer?

Then Ijust multiply ordivide from left

to right?

Let’s See if you have This!Multiply and/or divide.

1)

4)

5)

2)

3)

¿−𝟐𝟏 ¿−𝟏𝟐¿𝟐𝟎

¿𝟓

¿−𝟓