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If a number ends with 3 zeroes, how many...

If a number ends with `3` zeroes, how many zeroes will its square have ?

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To solve the problem of how many zeroes the square of a number with three zeroes at the end will have, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Problem**: We need to find out how many zeroes will be present at the end of the square of a number that ends with three zeroes. 2. **Identifying the Pattern**: When a number ends with 'n' zeroes, its square will end with '2n' zeroes. This is a mathematical property of squaring numbers. 3. **Setting Up the Equation**: Here, we have: - n = 3 (since the number ends with three zeroes) 4. **Calculating the Result**: Using the formula for the number of zeroes at the end of the square: \[ \text{Number of zeroes in the square} = 2n \] Substituting the value of n: \[ \text{Number of zeroes in the square} = 2 \times 3 = 6 \] 5. **Conclusion**: Therefore, the square of a number that ends with three zeroes will end with six zeroes. ### Final Answer: The square of a number that ends with three zeroes will have **6 zeroes** at the end. ---
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