MP Board Class 6th Maths Solutions Chapter 6 Integers Ex 6.3
Question 1.
Find
(a) 35 – (20)
(b) 72 – (90)
(c) (-15) – (-18)
(d) (-20) – (13)
(e) 23 – (- 12)
(f) (-32) – (-40)
Solution:
(a) 35 – 20 = 15
(b) 72 – 90 = -18
(c) (-15) – (-18) = -15 + 18 = 3
(d) (-20) – (13) = -20 – 13 = -33
(e) 23 – (-12) = 23 + 12 = 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:
(a) < : (-3) + (-6) = -3 – 6 = -9
(-3) – (-6) = -3 + 6 = 3
Since, -9 < 3
∴ (-3) + (-6) < (-3) – (-6) (b) >: (-21) – (-10) = -21 + 10 = -11
(-31)+ (-11) = -31 – 11 = -42
Since, -11 > -42
(-21) – (-10) > (-31) + (-11)
(c) >: 45 – (-11) = 45 + 11 = 56
57 + (-4) = 57 – 4 = 53
Since, 56 > 53
45 – (-11) > 57 + (-4)
(d) >: (-25) – (-42) = -25 + 42 = 17
(-42) – (-25) = -42 + 25 = -17
Since, 17 > -17
∴ (-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:
(a) 8 : (-8) + 8 = 0
(b) -13 : 13 + (-13) = 0
(c) 0 : 12 + (-12) = 0
(d) -8 : (-4) + (-8) = -12
(e) 5 : 5 – 15 = -10
Question 4.
Find
(a) (-7) – 8 – (-25)
(b) (-13) + 32 – 8 – 1
(c) (- 7) + (- 8) + (- 90)
(d) 50 – (- 40) – (- 2)
Solution:
(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 = 92