1. Directed Numbers

2. SandcastleHole in the sand +1 or 1 0 -1 + 1 = 0 1 + -1 = 0 -1 + (+1) = 0 +1 + (-1) = 0

3. 3 x -1 = -3 3 x (-1) = -3 -1 x 3 = -3 (-1) x 3 = -3

4. -2 3 x -2 = -6 3 x (-2) = -6 -2 x 3 = -6 (-2) x 3 = -6 -2

5. Exercise 1 Directed Numbers 1.4 x -2 = 2.-3 x 4 = 3.5 x -4 = 4.3 x 10 = 5.4 x -6 = 6.7 x 8 = 7.-6 x 8 = 8.9 x -6 = 9.5 x -2 = 10.-5 x -2 = 11.8 x -5 = 12.-8 x -5 = -8 -12 -20 30 -24 56 -48 -54 -10 10 -40 40

6. -2 + - 4 -2 + - 4 = - 6

7. 3 + - 3 3 + - 3 = 0

8. 4 + -2 4 + -2 = 2

9. 3 + - 4 3 + - 4 = -1

10. Exercise 2 Directed Numbers 1.8 + -2 = 2.-2 + 2 = 3.6 + -4 = 4.6 + -10 = 5.0 + - 6 = 6.10 + -2 = 7.4 + -8 = 8.-1 + -5 = 9.9 + -1 = 10.40 + -2 = 11.28 + -40 = 12.-18 + -15 = 6 0 2 -4 -6 8 -4 -6 8 38 -12 -33

11. 5 - 2 5 - 2 = 3

12. -7 - (- 4) -7 - (- 4) = -3

13. -7 + 4 -7 + 4 = -3 Subtracting -4 is the same as adding 4.

14. -10 – (-3) =-7 -10 + 3 = -7

15. 6 – (- 4) =10 It may be easier just to think: 6 – (-4) = 6 + 4 = 10

16. 8 – (- 5) 8 + 5 = 13 -6 – (-2)= - 4 8 – 10= - 2

17. Exercise 3 Directed Numbers 1.8 - 2 = 2.-8 - 2 = 3.6 – (-4) = 4.-5 – (-2) = 5.-10 - 6 = 6.10 - -2 = 7.-20 – (-8) = 8.5 - 1 = 9.5 – (-1) = 10.30 - -2 = 11.- 26 - 14 = 12.- 26 – (-14) = 6 -10 10 -3 - 16 12 - 12 4 6 32 - 40 - 12