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Question

Mathematics Question on Properties Of Addition And Subtraction Of Integers

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

Answer

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