(1) Using the number line write the integer which is :
(a) 3 more than 5
Ans: 8
(b) 5 more than –5
Ans: 0
(c) 6 less than 2
Ans: -4
(d) 3 less than –2
Ans: -5
(2) Use number line and add the following integers :
(a) 9 + (– 6)
=> 9-6
=> 3
(b) 5 + (– 11)
=> 5-11 (Hence we have to take 11 jumps to the left of number 5)
=> -6
(c) (– 1) + (– 7)
=> -1-7 (we have to take 7 jump to the left of -1)
=> -8
(d) (– 5) + 10
=> -5 + 10 (we have to take 10 jumps to the right of -5)
=> 5
(e) (– 1) + (– 2) + (– 3)
=> -1 -2 -3 (First take two jump to left then 3 jump again at left)
=> So take total of 5 jump towards left from -1
=> -6
(f) (– 2) + 8 + (– 4)
=> 2
(3) Add without using number line :
(a) 11 + (– 7)
=> 11-7
=> 4
(b) (– 13) + (+ 18)
=> -13 + 18
=> 5
(c) (– 10) + (+ 19)
=> -10 + 19
=> 9
(d) (– 250) + (+ 150)
=> -250 + 150
=> 100
(e) (– 380) + (– 270)
=> -380 – 270
=> -650
(f) (– 217) + (– 100)
=> -317
(4) Find the sum of :
(a) 137 and – 354
(b) – 52 and 52
=> -52+52
=> 0
(c) – 312, 39 and 192
=> -312 + 39 + 192
=> -312 + (39+192)
=> -312 + 231
=> -81
(d) – 50, – 200 and 300
=> -50 -200 + 300
=> -250 + 300
=> 50
(5) Find the sum :
(a) (– 7) + (– 9) + 4 + 16
=> (-7 – 9) + (4 + 16)
=> -16 + 20
=> 4
(b) (37) + (– 2) + (– 65) + (– 8)
=> 37 + (- 2 – 65 – 8)
=> 37 – 75
=> -112