ch. 11-3 b & e multiplying & dividing integers. try these… 4 x 7 28 4 x (-7) -4 x 7 -4 x...

9
CH. 11-3 B & E Multiplying & Dividing Integers

Upload: clarence-clark

Post on 23-Dec-2015

216 views

Category:

Documents


3 download

TRANSCRIPT

Page 1: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

CH. 11-3 B & E

Multiplying & Dividing Integers

Page 2: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

Try These…

4 x 728

4 x (-7)

-4 x 7 -4 x (-7)

-28

-28 28

Page 3: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

The Rules For Integers!

When multiply or dividing 2 integers with

the SAME sign your answer is always

POSITIVE!!!When multiply or

dividing 2 integers with DIFFERENT signs your

answer is always NEGATIVE!!!

Page 4: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

What does multiplying REALLY mean???

When you see a problem like 2 x 3 what it says is

2 groups of 3 positives

6 TOTAL positives

!

Page 5: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

What does multiplying REALLY mean???

OK, lets try this one 2 x (-3) !2 groups of 3 negatives

6 TOTAL negatives

!

Page 6: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

Now when a negative is first…

When a negative is first it means to take away from the groups! So if you have -2 x 3, it means that you have 2 groups of 3 and you are TAKING away the POSITIVES!

In order to do this you are starting with a Zero Pair so that you have something that you

can take away from!

6 TOTAL negative

s!

Page 7: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

Again…what happens with double negatives?!

When a negative is first it means to take away from the groups! So if you have -2 x (-3), it

means that you have 2 groups of 3 and you are TAKING away the NEGATIVES!

6 TOTAL positives

!

Page 8: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

More than problem, just go in ORDER!

-5 (-3) (-2)

15 (-2)

-30

Page 9: CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28

NOW…lets try some!

8(-7) -15 ÷ 3

-3 x (-6) 20 ÷ (-4)

-4 x 6 x (-3) -36 ÷ (-6) ÷ (-2)

-56 -5

18 -5

-24 x (-3)

726 ÷ (-2)

-3