My momma says that I’m confused about 99% of the time. Is that a lot?
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Transcript of My momma says that I’m confused about 99% of the time. Is that a lot?
My mommasays that I’m confusedabout 99% of the time.
Is that a lot?
Multiplying and Dividing
IntegersLet the
confusion
END!
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!
Multiplying Integers
and
+ × + = +- × - = +
Whenever you multiply two “like” signs, the product is always
positive.
Whenever you multiplytwo “opposite” signs, the product is always
negative.
+ × - = -- × + = -
Dividing Integers
+ ÷ + = +- ÷ - = +
Whenever you divide two “like” signs, the quotient is always
positive.
and
Whenever you dividetwo “opposite” signs,
the quotient is always negative.
+ ÷ - = -- ÷ + = -
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
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!
Let’s Practice!
−𝟑𝟎
𝟑
−𝟗𝟎
−𝟔
𝟓𝟔
−𝟓
Multiply or divide. Answers.
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!
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.
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 .
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!
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.
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!