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If a number contains 3 zeros at the end, how many zeros will its square have at the end?

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If a number ends with 3 zeros, its square will end with 6 zeros. Squaring multiplies the number of trailing zeros by 2 because each zero represents a factor of 10 and squaring means multiplying those factors again.

Class 8 NCERT Ganita Prakash Chapter 1 A Square and A Cube solutions

Class 8 Mathematics Textbook Chapter 1 A Square and A Cube question answer

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  1. When a number has 3 trailing zeros, it means it is divisible by 10³. Squaring this number will give a result divisible by 10⁶ so the square will have 6 zeros at the end. This happens because squaring multiplies all factors by themselves, including 10s. Therefore, the number of zeros at the end of the square becomes twice the number of zeros at the end of the original number.

     

    For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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