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Question

Complete the following table:
+ −6 −4 −2 0 2 4 6
6 10
4
2 8
0 −6
−2
−4 0
−6 −6

From the above table

(i) Write all the pairs of integers whose sum is 0.
(ii) is (−4) + (−2) = (−2) + (−4)?
(iii) is 0 + (−6) = −6?

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Solution

(i) (6, −6), (4, −4), (2, −2), (0, 0), (−2, 2), (−4, 4) and (−6,6).
(ii) (−4) + (−2) = −6 = (−2) + (−4); Yes
(iii) 0 + (−6) = −6; Yes
+ −6 −4 −2 0 2 4 6
6 0 2 4 6 8 10 12
4 −2 0 2 4 6 8 10
2 −4 −2 0 2 4 6 8
0 −6 −4 −2 0 2 4 6
−2 −8 −6 −4 −2 0 2 4
−4 −10 −8 −6 −4 −2 0 2
−6 −12 −10 −8 −6 −4 −2 0

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