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## Chapter 6 Integers Exercise 6.2

Question 1: Using the number line write the integer which is:
a) 3 more than 5
b) 5 more than -5
c) 6 less than 2
d) 3 less than -2
Answer:

a)

b)

c)

d)

Question 2: Use number line and add the following integers:
a) 9 + (-6)
b) 5 + (-11)
c) (-1) + (-7)
d) (-5) + 10
e) (-1) + (-2) + (-3)
f) (-2) + 8 + (-4)
Answer:

a)

b)

c)

d)

e)

f)

Question 3: Add without using number line:
a) 11 + (-7)
b) (-13) + (+18)
c) (-10) + (+19)
d) (-250) + (+150)
e) (-380) + (-270)
f) (-217) + (-100)
Answer:

a) 11 + (-7) = 4
b) (-13) + (+18) = 5
c) (-10) + (+19) = 9
d) (-250) + (+150) = -100
e) (-380) + (-270) = -650
f) (-217) + (-100) = -317

Question 4: Find the sum of:
a) 137 and -354
b) -52 and 52
c) -312, 39 and 192
d) -50, -200 and 300
Answer:

a)
= (137) + (-354)
= (137) + (-137) + (-217)
= 0 + (-217)
= (-217)
= -217

b)
= (-52) + (+52) = 0

c)
= (-312) + (+39) + (+192)
= (-231) + (-81) + (+39) + (+192)
= (-231) + (-81) + (+231)
= (-231) + (+231) + (-81)
= 0 + (-81)
= -81

d)
= (-50) + (-200) + (+300)
= (-50) + (-200) + (+200) + (+100)
= (-50) + 0 + (+100)
= (-50) + (+50) + (+50)
= 0 + (+50)
= 50

Question 5: Find the sum:
a) (- 7) + (-9) + 4 + 16
b) (37) + (-2) + (-65) + (-8)
Answer:

a)
= (-7) + (-9) + 4 + (+7) + (+9)
= (-7) + (+7) + (-9) + (+9) + 4
= 0 + 0 + 4
= 4

b)
= (+37) + (-75)
= (+37) + (-37) + (-38)
= 0 + (-38)
= -38