My momma says that I’m confused about 99% of the time. Is that a lot?
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![Page 1: My momma says that I’m confused about 99% of the time. Is that a lot?](https://reader038.fdocuments.us/reader038/viewer/2022110208/56649dc55503460f94ab817f/html5/thumbnails/1.jpg)
My mommasays that I’m confusedabout 99% of the time.
Is that a lot?
Multiplying and Dividing
IntegersLet the
confusion
END!
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Multiplying and Dividing Integers
Can wemake this quick? I
can’t be late for my fried Twinkie eating
contest.
I will try and make this as quick as
possible!
Awesome!Sparky hungry…
very hungry!
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Multiplying Integers
and
+ × + = +- × - = +
Whenever you multiply two “like” signs, the product is always
positive.
Whenever you multiplytwo “opposite” signs, the product is always
negative.
+ × - = -- × + = -
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Dividing Integers
+ ÷ + = +- ÷ - = +
Whenever you divide two “like” signs, the quotient is always
positive.
and
Whenever you dividetwo “opposite” signs,
the quotient is always negative.
+ ÷ - = -- ÷ + = -
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Let’s Put Them Side-by-Side
Multiplying Dividing
The rules for multiplying and dividing integers are exactly
the same!
5 × 5 = 25–3 × (–4) = 127 × (–3) = –21 –6 × 1 = –6 and
9 ÷ 3 = 3–10 ÷ (–2) = 516 ÷ (–2) = –8 –9 ÷ 9 = –1 and
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Multiplying and Dividing Integers
Does thismean I won’t haveto remember two
sets of rules?
That’s exactly what it means!
That’s kindalike the two-for-onechili-dipped monsterburrito deal over at
Tangy Tacos!
I’ll take your word for it!
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Let’s Practice!
−𝟑𝟎
𝟑
−𝟗𝟎
−𝟔
𝟓𝟔
−𝟓
Multiply or divide. Answers.
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Multiplying and Dividing Integers
But what ifI have to multiply
or divide more thantwo integers
at once?
That’s an excellent question!
It’sa gift!
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Multiplying and Dividing IntegersWhenever you multiply and/or
divide an expression with an even number of negative integers, your answer will
always be positive.Whenever you multiply and/or divide an expression with an odd
number of negative integers, your answer will always be
negative.
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Multiplying and Dividing IntegersExample. 1: –2 × (–3) × 4 × (–2) = Ex. 2: –32 ÷ 2 ÷ 4 ÷ (–2) =
Ex. 3: 25 ÷ (–5) × 4 ÷ (–4) × (–2) × (–7) =
48Since there are 3 negative integers, the answer must be negative.
–2
70Then, multiply from left to right to find
the product.
2 negative integers means a positive quotient.
4 negative integers means a positive answer.Then, multiply and divide from left
to right .
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Multiplying and Dividing Integers
So I justcount negative
signs to determine the sign of my
answer?
That’s it! An even number equals a positive answer and an odd number
equals a negative answer.
Then Ican forget thesigns and just
multiply ordivide?
That’s right! Let’s
practice!
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Multiplying and Dividing Integers
3. 20 ÷ (–4) × 2 × 8 ÷ (–4) = 4. –1 × (–3) × 10 ÷ (–2) ÷ (–3) =
1. –6 ÷ 2 × 7 = 2. –4 × (–6) ÷ (–2) =
5. –6 ÷ (–3) × 7 ÷ (–7) × (–20) ÷ (– 8) =
–21 –12 20 5 –5
Multiply and/or divide.
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Multiplying and DividingIntegers
You cancongratulate meafter I destroy a
couple dozen fried Twinkies!
So, how’d you do on the practice problems, Sparky?I might
have to consider myself a multiplying
and dividing integers’ ace, sir!
Congratulations!