How quickly can you find the answer to:
5 x 4 x 3 x ... x -3 x -4 x -5
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we have to find the answer of 5 4 3 ......... -3 -4 -5 but in it we have a value =0 and anything multiply by zero is zero so the answer is zero
5 x 4 x 3 x 2 x 1 x 0 x -1 x -2 x -3 x -4 =0
If we write it all out we see that it has a zero in there as well.So the whole expression really is: 5 × 4 × 3 × 2 × 1 × 0 × ( − 1 ) × ( − 2 ) × ( − 3 ) × ( − 4 ) × ( − 5 ) = 0
In full the question is:
5 x 4 x 3 x 2 x 1 x 0 x -1 x - 2 x -3 x -4 x -5
As you can see, there is a x 0 in there, and anything times zero is zero.
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5 × 4 × 3 × 2 × 1 × 0 × − 1 × − 2 × − 3 × − 4 × − 5 = 0