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4.  Fill in the blanks to make the following statements true:
(i)     (–5) + (– 8) = (– 8) + (............)
(ii)     –53 + ............ = –53
(iii)     17 + ............ = 0
(iv)     [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v)     (– 4) + [15 + (–3)] = [– 4 + 15] + ............

(i)     (–5) + (– 8) = (– 8) + () By the commutative property (ii)     –53 + = –53  is the additive identity. The number added to  gives the same number. (iii)     17 + = 0 By additive identity property. (iv)     [13 + (– 12)] + () = 13 + [(–12) + (–7)] By associative property (v)     (– 4) + [15 + (–3)] = [– 4 + 15] + By associative property

3. In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

Given, Team A scored :   Team A's total =  Team B scored :  Team B's total =  Therefore, both the team scored same. Yes, we can add integers in any order.

2. (a) Write a pair of negative integers whose difference gives 8.
(b) Write a negative integer and a positive integer whose sum is –5.
(c) Write a negative integer and a positive integer whose difference is –3.

(a) A pair of negative integers whose difference gives 8 : (b) A negative integer and a positive integer whose sum is –5: : (c) A negative integer and a positive integer whose difference is –3:

1.  Write down a pair of integers whose:
(a)    sum is –7        (b)    difference is –10        (c)    sum is 0

A pair of integers whose: (a) sum is –7  :        (b) difference is –10 :         (c) sum is 0 :
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