If the square of a number ends with 10 zeroes, how many zeroes will the number have ?

Answer

To solve the question, "If the square of a number ends with 10 zeroes, how many zeroes will the number have?", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**:
We need to find out how many zeros a number has if its square ends with 10 zeros.

2. **Using the Relationship Between Zeros**:
It is known that if the square of a number ends with 'n' zeros, then the original number will end with 'n/2' zeros. This is because squaring a number effectively doubles the number of trailing zeros.

3. **Identifying 'n'**:
In this case, we are given that the square of the number ends with 10 zeros. Therefore, we have:
\[ n = 10 \]

4. **Calculating the Number of Zeros**:
Now, we can calculate the number of zeros in the original number using the formula:
\[ \text{Number of zeros in the original number} = \frac{n}{2} = \frac{10}{2} = 5 \]

5. **Conclusion**:
Thus, the number has 5 zeros.

### Final Answer:
The number has **5 zeros**.

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