I positively have negative feelings about this!. …-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7… Integers...

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Dividing Integers I positively have negative feelings about this! Let the confusion End! Made Easy! © Mike’s Math Mall Multiplyin g and PowerPoin t!

Transcript of I positively have negative feelings about this!. …-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7… Integers...

Page 1: I positively have negative feelings about this!. …-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7… Integers do not include fractions or decimals.

Dividing

IntegersI positively have negativefeelings about

this!

Let the confusion End!

Made Easy!

© Mike’s Math Mall

Multiplyin

g

and

PowerPoint!

Page 2: I positively have negative feelings about this!. …-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7… Integers do not include fractions or decimals.

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.

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

are everywhere.

and chemical compounds.

They represent temperatures…

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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.

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Multiplying Integers

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

always positive.

−𝟓×(−𝟐)=𝟏𝟎

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Multiplying Integers

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

always negative.

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Dividing Integers

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

positive.

¿𝟏𝟔÷𝟒=𝟒

(−)÷(−)=+¿−𝟏𝟐÷ (−𝟒)=𝟑

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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

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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

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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)→ →

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Multiplying and Dividing Integers

But what ifI have to multiply

or divide more thantwo integers

at once?

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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!

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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

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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 )=¿

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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

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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?

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

1)

4)

5)

2)

3)

¿−𝟐𝟏 ¿−𝟏𝟐¿𝟐𝟎

¿𝟓

¿−𝟓