1. CONTENTS – Click to go to…
06/12/2018
CONTENTS – Click to go to…
ORDERING NUMBERS INCLUDING NEGATIVES
ADDING AND SUBTRACTING WITH NEGATIVES
MULTIPLYING AND DIVIDING WITH NEGATIVES
NEGATIVES IN REAL LIFE

2. ORDERING NUMBERS INCLUDING NEGATIVES
06/12/2018
ORDERING NUMBERS INCLUDING NEGATIVES

3. - + 06/12/2018 Integers ( whole numbers ) Getting: Lower, Colder,
Integers ( whole numbers )
Getting:
Lower,
Colder,
Poorer,
Younger,
Smaller
Getting:
Higher,
Hotter,
Richer,
Older,
Bigger

4. 06/12/2018
We can also use a number line to help us write integers in order.
Write the integers –2, 8, 2, –6, –9 and 5 in order from smallest to largest.
Look at the position of the integers on the number line: –9 –6 –2 2 5 8
So, the integers in order are:
–9, –6, –2, 2, 5, and 8

5. 06/12/2018
Put these in order of size, smallest to biggest
1) 5 °C, 3 °C, -5 °C, 0 °C, -8 °C
2) -34 m, 12m, -15m, 1m, -3m
3) 2.5, -0.5, -1, 4, -2, -1.5, 0
-8°C, -5°C, 0°C, 3°C, 5°C
-34m, -15m, -3m, 1m, 12m
-2, -1.5, -1, -0.5, 0, 2.5, 4

6. ADDING AND SUBTRACTING WITH NEGATIVES
06/12/2018
ADDING AND SUBTRACTING WITH NEGATIVES

7. 4 and – 8 3 and -1 6 and -7 10 and -1 6 and -2 5 and -9 3 and -3
06/12/2018
Positive numbers
Negative numbers
What is the difference between:
4 and – 8
3 and -1
6 and -7
10 and -1
6 and -2
5 and -9
3 and -3

8. 06/12/2018
Worded questions

9. 06/12/2018

10. Which direction we move
06/12/2018
When we add and subtract negative numbers, we imagine a number line
Where we start
3 + 2
How far we move
= 5
Which direction we move + 1 2 3 4 5 6 7 8 9 -1 -2 -3 -4 -5 -6 -7 -8 -9

11. 06/12/2018
-3 + 2
= -1 + -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

12. 06/12/2018
–2 + 5 =
= 3 -2 3

13. 06/12/2018
Try these! = 1 2 = 6 = 2 1 = 7 -3 = 3 3 = 8 -1 = 4 5 = 9 10 = 5 4 = 10 -7

14. 06/12/2018
= -5
-2 - 3 - -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

15. 06/12/2018
5 – 8 =
= –3 5 -3

16. 06/12/2018 Try these! 7 - 3 = 1 4 - 1 - 1 = 6 -2 4 - 4 = 2 - 2 - 3 = 7= 7 -5
3 - 5 = 3
- 2 = 8 -8
1 - 8 = 4
- 7 = 9
-10
0 - 6 = 5
- 6 = 10
-15

17. 06/12/2018
1) 5 – 7 2) 3 – 5 3) 1 – 4
4) 2 – 6 5) 5 – 10 6) -1 – 2
7) -2 – 3 8) -3 – 1 9) 0 – 3
10) ) )
13) ) )
16) ) )
19) 12 – 20 20) -15 – 10 21)
22) ) -30 – 20 24) 15 – 20
25) 12 – ) – 10
27) – – – –
- 2
- 2
- 3
- 4
- 5
- 3
- 5
- 4
- 3 3 5 2 3 5
- 3
- 2
- 8
- 25 12
- 7
- 50
- 5 2
- 16 5

18. 06/12/2018
Discussion - how do we solve problems like these?
4 + -2
2 - -3

19. General rule for signs between the numbers:
06/12/2018
General rule for signs between the numbers:
+ -
- - + -

20. 06/12/2018
4 + -2
= 2 - - -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

21. 06/12/2018
= -4 - -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

22. 06/12/2018
2 - -3
= 5 + + -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

23. 06/12/2018
= 2 + -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

24. 06/12/2018 1) 5 + -2 2) 3 - -3 3) -5 + -1 4) -6 - 3 5) 8 + 4 6) 9 - -9
1) ) )
4) ) )
7) ) ) 6 - 6
10) ) )
13) ) 3 6 -6 -9 12 18 -7 2 10 12 -6 12

25. 06/12/2018

26. MULTIPLYING AND DIVIDING WITH NEGATIVES
06/12/2018
MULTIPLYING AND DIVIDING WITH NEGATIVES

27. DIFFERENT signs make a –
06/12/2018
Multiplying and dividing with negatives
Ignore the signs
Complete the calculation without them
Decide whether the result will be positive or negative using the rules below
SAME signs make a +
DIFFERENT signs make a –
1st Number
2nd Number
Answer + -

28. a) -5 x -3 b) -4 x 8 c) -20 ÷ -5 d) 39 ÷ -3 e) -11 x -7 f) 12 ÷ -1
06/12/2018
Try these!
a) -5 x b) -4 x 8
c) -20 ÷ d) 39 ÷ -3
e) -11 x f) 12 ÷ -1
g) -9 ÷ h) -3 x -4 ÷ -2
= -15
= -32
= 4
= -13
= 77
= -12
= 1
= -6

29. 06/12/2018
1) 4 × -3 2) 6 ( 4 ) 3) -5 × 4
4) -3 ( -8 ) 5) -6 ( 10 ) 6) -7 × -2
7) -1 × 1 8) 3 ( -6 ) 9) -7 ( 7 )
10) -2 × -3 × ) 5 × -2 × -3
12) 4 × 2 × ) -1 × 2 × -3 × 4
14) ( -2 )2 15) ( 3 )2 16) ( -2 )3
17) 3 ( -2 )2 18) -5 ( -3 )2 19) -2 ( -1 )3
20) ( 2 × -3 )2 21) -2 ( -1 × -3 )3
- 12 24
- 20 24
- 60 14
- 1
- 18
- 49
- 24 30
- 16 24 4 9
- 8 12
- 45 2 36
- 54

30. 06/12/2018 Complete the following: –3 × 8 = –24 –36 ÷ = –4 9 42 ÷ = –6
–36 ÷ = –4 9
42 ÷ = –6 –7
÷ –90 = –6
540
× –8 = 96
–12
–7 × = 175
–25
47 × = 141 3
–4 × –5 × –8 =
–160
–72 ÷ –6 = 12
3 × –8 ÷ = 1.5
–16

31. 06/12/2018
Mixed Questions

32. 06/12/2018 –2
–10 –8 ×2
÷ –5 –4 2
–11 –7
+ 4
× –1
– 5
–15 3
Work towards the centre of the spiral to reveal the picture of a snail blinking.
–16 –2
+ 16
× 5
+ 8 –3 6
÷ –2

33. 06/12/2018 2
- 14
- 4
1) ) -7 × 2 3) 12 ÷ -3
4) ) -5 × 3 6) -6 ÷ 3
7) ) 7 ×-2 9) -9 ( -2 )
10) 6 – 8 11) ) 3 ( -5 )
13) ) ( -3 )2 15) -3 – 5
16) 4 × -1 × -2 17) ( 3 – 5 )2 18) -1 × -1 × -1
19) ) ) 15 2
- 15
- 2 4
- 14 18
- 2
- 6
- 15
- 11 9
- 8 8 4
- 1
- 40 3
- 5
-10 -3

34. On your mini whiteboards…
06/12/2018
QUICK CALCULATIONS!
On your mini whiteboards…
Choose R, B, G, Y!

35. 06/12/2018 1) -9 5 -5 9

36. 06/12/2018 2) 1 11 -1
-11

37. 06/12/2018 3) -9 15
-15 9

38. 06/12/2018 4)
-37
-27 27
-11

39. 06/12/2018 5) 19
-19 1 -1

40. 06/12/2018
6) x 7 21
-21
-10 10

41. 06/12/2018
7) x -8
-13 1
-56 56

42. 06/12/2018
8) x 6 x -3
-24 36
-36 24

43. 06/12/2018
9) (-4)2 16 -8
-16 8

44. 06/12/2018
10) (-8)2 16
-64
-16 64

45. Now lets have a go at the booklet
06/12/2018
Now lets have a go at the booklet