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in Number System by (26.4k points)
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Complete the following table by multiplying the integers in the corresponding row and column headers.

X -3 -2 -1 0 1 2 3
-3
-2
-1
0
1
2
3

1 Answer

+1 vote
by (26.1k points)
selected by
 
Best answer

We know that 

(i) product of two positive integers is positive

(ii) product of two negative integers is 

(iii) product of two negative integers is positive 

(iv) product of integers with opposite sign is negative.

∴ The table will be as follows:

X -3 -2 -1 0 1 2 3
-3 +9 +6 +3 0 -3 -6 -9
-2 +6 +4 +2 0 -2 -4 -6
-1 +3 +2 +1 0 -1 -2 -3
0 0 0 0 0 0 0 0
1 -3 -2 -1 0 1 2 3
2 -6 -4 -2 0 2 4 6
3 -9 -6 -3 0 3 6 9

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