i positively have negative feelings about this!. …-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7… integers...
TRANSCRIPT
Dividing
IntegersI positively have negativefeelings about
this!
Let the confusion End!
Made Easy!
© 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