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Question

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)

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Solution

(a) (−3) + (−6) = −9

(−3) − (−6) = − 3 + 6 = 3

−9 < 3

Hence, (− 3) + (− 6) (− 3) − (− 6)

(b) − 21 − (−10) = − 21 + 10 = −11

− 31 + (−11) = −42

−11 > −42

(−21) − (−10) (−31) + (−11)

(c) 45 − (−11) = 45 + 11 = 56

57 + (−4) = 57 − 4 = 53

56 > 53

45 − (−11) 57 + (−4)

(d) (−25) − (−42) = − 25 + 42 = 17

− 42 − (−25) = − 42 + 25 = −17

17 > −17

(−25) − (−42) (−42) − (−25)


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