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A terminal zero is a $0$ that appears at the end of a number. For example, the number $3,800$ has two terminal zeros.
How many terminal zeroes does $40 \cdot 6 \cdot 75 \cdot 12$ have?

 Jul 18, 2024
 #1
avatar+1786 
+1

The answer is \(3\)

\(40 \cdot 6 \cdot 75 \cdot 12=216000\)

 

This number has 3 terminal zeroes. 

 

Thanks! :)

 Jul 18, 2024
edited by NotThatSmart  Jul 18, 2024
 #2
avatar+129820 
+1

40 * 6 * 75 * 12  =

 

40 * 6 *  [3 *25] * [ 3 *4 ]  =

 

40 * 6 * [ 3 * 3 ] * [ 25 * 4]  = 

 

6 * 40 *  9 *  100 =

 

54 * 4000  = 

 

54 * 4 * 1000  =

 

216 * 10^3

 

3 terminal 0's

 

 

cool cool cool

 Jul 18, 2024

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