## 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

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