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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 15, 2024
 #1
avatar+1892 
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Let's identify all the ways we can get a terminal 0. 

First, since 40 has a terminal 0, we already have 1. 

Since \(75*12\) also has a terminal 0, which makes it 2. 

 

Lastly, \(6*75\) has one terminal 0, making 3. 

We could also multiply everything out. We have

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

 

As shown, there are 3 terminal 0s. 

 

So 3 is our answer. 

 

Thanks! :)

 Jul 15, 2024

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