Math, asked by elainexu392, 8 months ago

1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * ()
Put the smallest number in the brackets so the result has 5 zeros

Answers

Answered by amitnrw
0

125 is Smallest number  in  the brackets so the result has 5 zeros , 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * ()

Step-by-step explanation:

Let say Smallest number is A   in  the brackets so the result has 5 zeros

1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10 * (A)

= 1 * 2 * 3 * 2 * 2 * 5 * 2 * 3 * 7 * 2 * 2 * 2 * 3 * 3  * 10 * A

= 10 * 10 * 3 * 3 * 3 * 3 * 7 *  2 * 2 * 2 * 2 * 2 * 2 * A

We have two Zeroes already

to get 3 more Zeroes

we need to multiply by 5 * 5 * 5

A = 5 * 5 * 5 = 125

= 10 * 10 * 3 * 3 * 3 * 3 * 7 *  2 * 2 * 2 * 2 * 2 * 2  * 5 * 5 *  5

= 10 * 10 * 10 * 10 * 10 * 3 * 3 * 3 * 3 * 7 *  2 * 2 * 2

= 453600000

125 is Smallest number  in  the brackets so the result has 5 zeros

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