Question:

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] + ............

Updated On: Dec 1, 2023
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Solution and Explanation

(i) (-5) + (-8) = (-8) +\(\underline{(-5)}\)[Commutative property]
(ii) -53 + \(\underline{0}\) = -53[Zero additive property]
(iii) 17 +\(\underline{(-17)}\) = 0(Additive identity]
(iv) [13 + (-12)] + \(\underline{(-7)}\) = 13 + [(-12) + (-7)] [Associative property]
(v) (-4) + [15 + (-3)] = [-4 + 15] + \(\underline{(-3)}\)[Associative property]

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