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:
We use the concepts of positive and negative integers and addition and subtraction to fill in the blanks with >, < or = sign. Let us solve LHS and RHS separately and then we compare the values on both sides.
(a) LHS= (-3) + (-6) = - 3 - 6 = – (3 + 6) = – 9
RHS = (-3) – (-6) = (-3) + 6 = 3
Here, – 9 < 3
Therefore, (- 3) + (- 6) < (- 3) – (- 6)
(b) LHS = (-21) – (-10) = (-21) + 10 = -11
RHS = (-31) + (-11) = – (31 + 11) = – 42
Here, -11 > - 42
Therefore, (-21) - (-10) > (-31) + (-11)
(c) LHS = 45 – (-11) = 45 + 11 = 56
RHS = 57 + (- 4) = 57 - 4 = 53
Here, 56 > 53
Therefore, 45 – (-11) > 57 + ( -4)
(d) LHS = (-25) – (-42) = - 25 + 42 = 17
RHS = (- 42) – (-25) = - 42 + 25 = -17
Here, 17 > -17
Therefore, (- 25) – (- 42) > (- 42) – (- 25).
NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.3 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)
Summary:
Using the concepts of positive and negative integers and addition and subtraction, the blanks can be filled with the appropriate comparison sign since (a) (- 3) + (- 6) < (- 3) – (- 6), (b) (-21) - (-10) > (-31) + (-11), (c) 45 – (-11) > 57 + ( -4) and (d) (- 25) – (- 42) > (- 42) – (- 25)
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