My mommasays that I’m confusedabout 99% of the time.

Is that a lot?

Multiplying and Dividing

IntegersLet the

confusionEND!

Multiplying and Dividing IntegersCan we

make 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 IntegersDoes this

mean 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!−𝟑𝟎𝟑−𝟗𝟎−𝟔𝟓𝟔−𝟓

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!