the number line 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive...

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THE NUMBER LINE 0 1 2 3 4 5 6 7 8 9 - 9 -8 -7 - 6 -5 -4 - 3 - 2 - 1 zero – neither (+) or (-) negative numbers positive numbers

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Page 1: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

THE NUMBER LINE

0 1 2 3 4 5 6 7 8 9-9 -8 -7 -6 -5 -4 -3 -2 -1

zero – neither (+) or (-)

negative numbers positive numbers

Page 2: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

a) Name the integer that describes each situation

- A gain in weight of 7 pounds

- 10 degrees below zero

+ 7

- 10

Page 3: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

b) Name the coordinates of the points graphed.

0 1 2 3 4 5 6 7 8 9-9 -8 -7 -6 -5 -4 -3 -2 -1

C AT

-7 0 4

Page 4: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

c) Insert the appropriate inequality symbol to make each statement true.

0 1 2 3 4 5 6 7 8 9-9 -8 -7 -6 -5 -4 -3 -2 -1

-5 2 -3 -1 4 -6 <

<

>

? ? ?

Page 5: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

Have you ever played rummy?

Have you ever played solitaire on the computer?

Page 6: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

- 4 + - 9 = - 13

Page 7: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

+

+

“Neutral Pairs”

Page 8: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

+ + + +

-3 + 4 = 1

Page 9: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

–8 10 =

Change

(sign)-Keep

Change

(operation)

+

+ + + + + + + +

- 2Use “keep-change-change” ~ only to change subtraction to addition.

Page 10: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

- 9 ( 4) + 2 =– -+

Keep

Change

(operation)

Change

(sign)

+

+ + + +

- 3

+ +

“Hey, have you ever heard of a double negative in English class?”

Page 11: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

A football team made the following yardage on five plays: lost 4, gained 16, gained 9, lost 8, and lost 4. What was the net yardage on the 5 plays?

- 4 + 16 + 9 – 8 – 4 = - 4 + 16 + 9 + - 8 + - 4

If you like “keep change change”

= 12 + 9 + - 8 + - 4 = 21 + - 8 + - 4 = 13 + - 4 = + 9

Click here for visual tiles

Page 12: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers
Page 13: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

What are all of the rules?!

(+)(+) = (+)(+)(-) = (-)(-)(+) = (-)(-)(-) = (+)

Page 14: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

12 4(3) = means “4 groups of 3”

+ +

+

+ +

+

+ +

+

+ +

+Group 1 Group 2 Group 3 Group 4

Page 15: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

5(-4) =

Group 1 Group 2 Group 3

Group 4 Group 5

-20 means “5 groups of -4”

Page 16: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

Why is a negative # times a negative # equal to a positive #?

3(-4) = -12

2(-4) = - 8

1(-4) = - 4

0(-4) = 0

-1(-4) =

4

3(4) = 12

2(4) = 8

1(4) = 4

0(4) = 0

-1(4) =

-4

-2(4) = -8 -2(-4) = 8

? ?

Page 17: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

A diver descended a total of 60 feet in 5 equal segments. What integer describes each of his descents?

- 60

He “descended.”

i.e. below sea level

÷ 5 = -12Describe what this integer means

Page 18: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

WORKSHEET: # 1 – 30

Page 19: THE NUMBER LINE 0123456789-9-8-7-6-5-4-3-2 zero – neither (+) or (-) negative numberspositive numbers

- 4 + 16 + 9 – 8 – 4 = - 4 + 16 + 9 + - 8 + - 4

+ + + + + + + + +

+ + + + + + +

+ + + + + + + + +

Back to Slide Show

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