**Integers Class 6 Ex. 6.3**

**New Ncert Class 6 Math Free Solution.**

**Exercise 6.3**

**Question 1 :- Find :**

**(a) 35 – (20)**

**(b) 72 – (90)**

**(c) (-15) – (-18)**

**(d) (- 20) – (13)**

**(e) 23 – (-12)**

**(f) (-32) – (-40)**

**Solution 1 :-**

(a) 35 – (20)

= 35 – 20

= 15

(b) 72 – 90

= 72 – 90

= – 18

(c) (- 15) – (- 18)

= – 15 + 18

= 3

(d) (- 20) – (13)

= – 20 – 13

= – 33

(e) 23 – (- 12)

23 + 12 = 23

= 35

(f) (- 32) – (- 40)

= – 32 + 40

= 8

**Question 2 :- Fill in the blanks with >, < or = sign.**

**(a) (-3) + (-6)_______________ (-3) – (-6).**

**(b) (-21) – (-10)_____________ (- 31) + (-11).**

**(c) 45 – (-11)________________ 57 + (-4).**

**(d) (-25) – (-42)_____________ (-42) – (-25).**

**Solution 2:-**

(a) (-3) + (-6) = – 3 – 6 = – 9 and

(-3) – (-6) = -3 + 6 = 3

Here, – 9 < 3

So, (- 3) + (- 6) < (- 3) – (- 6)

(b) (-21) – (-10) = -21 + 10 = -11 and

(-31) + (-11) = – 31 – 11 = – 42

So, (-21) – (-10) > (-31) + (-11)

(c) 45 – (-11) = 45 + 11 = 56 and

57 + (-4) = 57 – 4 = 53

So, 45 – (-11) > 57 + ( -4)

(d) (-25) – (-42) = -25 + 42 = 17 and

(-42) – (-25) = -42 + 25 = -17

So, (-25) – (-42) > (-42) – (-25).

**Question 3 :- Fill in the blanks.**

**(a) (-8) + …. = 0**

**(b) 13 + …. = 0**

**(c) 12 + (-12) = ….**

**(d) (-4) + …. = – 12**

**(e) …. -15 = – 10.**

**Solution 3:-**

(a) (-8) + (additive inverse of -8) = 0

= (-8) + (8) = 0

∴ Value of blank is 8

(b) 13 + (additive inverse of 13) = 0

= 13 + (-13) = 0

∴ Value of blank is – 13

(c) 12 + (-12) = 0 [∵ -12 is additive inverse of 12]

∴ The Value of blank is 0

(d) (-4) + (-8) = -[4 + 8] = -12

∴ Value of blank is -8.

(e) (+5) – 15 = -10

∴ Value of blank is +5.

**Question 4 :- Find :**

**(a) (-7) – 8 – (-25)**

**(b) (-13) + 32 – 8 – 1**

**(c) (-7) + (-8) + (-90)**

**(d) 50 – (-40) – (-2)**

**Solution 4:-**

(a) (-7) – 8 – (-25)

= -7 – 8 + 25

= – 15 + 25

= 10.

(b) (-13) + 32 – 8 – 1

= -13 + 32 – 8 – 1

= 32 – 22

= 10.

(c) (-7) + (-8) + (-90)

= – 7 – 8 – 90

= -105.

(d) 50 – (-40) – (-2)

= 50 + 40 + 2

= 50 + 42

= 92.

**Chapter 6 Integer Class 6 Exercise. 6.3 for Free**