Haryana State Board HBSE 6th Class Maths Solutions Chapter 6 Integers Ex 6.2 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions 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.

Solution:

(a) We want to find the integer which is 3 more than 5. So we start from 5 and proce 3 steps to the right of 5 to reach 8 as shown below. (Fig.)

∴ 3 more than 5 is 8.

(b) We want to find an integer which is 5 more than -5. So we start from -5 and proi 5 steps to the right of-5 to reach 0 as shown below (Fig.).

∴ 5 more than -5 is 0.

(c) We want to find an integer which is 6 less than 2. So we start from 2 and move 6 steps to the left of 2 to reach -4 as shown in Fig. , ∴ 6 less than 2 is -4.

(d) We want to find an integer is 3 less than -2. So we start from -2 and move 3 steps to the left to reach-5 as shown in Fig. 6.13.

∴ 3 less than -2 is -5.

Question 2.

Use a 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).

Solution:

(a) 9 + (—6) = 3

(b) 5 + (-11) = -6

(c) (-1) + (-7) = -8

(d) (-5) + 10 = 5

(e) (-1) + (-2) + (-3) = -6

(f) (-2) + 8 + (-4). or 8 + (-2) + (-4) = 8 + (-6) = 2

Question 3.

Add without using a number line:

(a) 11 + (-7)

(b) (-13) + 18

(c) (-10) + (+19)

(d) (-250) + (+150)

(e) (-380) + (-270)

(f) (-217) + (-100).

Solution:

(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.

Solution:

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

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

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

(d) (-50) + (-200) + 300 = (-250) + 300 = 50.

Question 5.

Find the value of:

(а) (-7) + (-9) + 4 + 16

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

Solution:

(a) (-7) + (-9) + 4 + 16 = (-16) + 20 = 4.

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

37 + (-2 – 65 – 8) = 37 + (-75) = -38.

Note : Additive Inverse : Numbers such as 3 and -3, 2 and -2, added to each other give the sum zero. They are called additive inverse of each other.