Math, asked by seenabenvipin, 6 hours ago

if 5 power 10 written as a natural number what would be the digit in the ones place​

Answers

Answered by aakashmutum
3

Question-

If 5 power 10 is written as a natural number what would be the digit in the one's place​?

Answer-

There are two methods to solve this question, the easy method and the hard method.

The easy method

The easy method is simple. You have to keep one thing in mind. And that is 5 multiplied by 5 is 25. If the unit's place is 5 and it is multiplied by 5, the unit's place of the answer will always be 5. This is because when 5 is multiplied with an even number, the unit's place of the answer is 0. But if 5 is multiplied by an odd number, its unit's place will be 5, no matter how large the number. Since 5¹⁰ is nothing but multiplying 5 by itself for ten times, the unit's place of the answer will always be 5.

The hard method

The hard method is for people who don't know the above trick. For this, we have to find the value of 5¹⁰.

5¹⁰ = 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 = 97,65,625

The digit in one's place of 97,65,625 is 5.

Whichever method you choose, the answer is the same. 5 would be the digit in the one's place if 5¹⁰ is written as a natural number.

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