Integers Exercise 6.2

Integers exercise 6.2 and 6.3

Q.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

Ans:

Q.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) 

Ans:

Q.3. Add without using number line :

(a) 11 + (– 7)

(b) (– 13) + (+ 18)

(c) (– 10) + (+ 19)

(d) (– 250) + (+ 150)

(e) (– 380) + (– 270)

(f) (– 217) + (– 100)

Ans: (a) 11 + (-7) = 4

(b) (-13) + (+18) = 5

(c) (-10) + (+19) = -10 + 19 = 9

(d) (-250) + (+150) = -250 + 150 = -100

(e) (-380) + (-270) = -380 – 270 =  -650

(f) (-217) + (-100) = -217 – 100 = -317

Q.4. Find the sum of:

(a) 137 and – 354

(b) – 52 and 52

(c) – 312, 39 and 192

(d) – 50, – 200 and 300

Ans: (a) 137 and -354

= (137) + (-354)

= 137 – 354

= -217

(b) -52 and 52

       = (-52) + (+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)

= – 50 – 200 + 300

= – 250  + 300

= 50

Q.5. Find the sum:

(a) (– 7) + (– 9) + 4 + 16

(b) (37) + (– 2) + (– 65) + (– 8)

Ans: (a) (-7) + (-9) + 4 + 16

= (-7) + (-9) + 4 +16

= -16 + 20

= 4

(b) (37) + (-2) + (-65) + (-8)

=  (37) + (-2) + (-65) + (-8)

= (+37) + (-75)

= -38