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what is the value at one’s place in the square of 77?

Answer
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Hint: We are given 77 and are asked to find the last digit of the square of the number. The last digit in this case is the same as the one digit in any number. Finding the last digit or one's digit of the square of a given number is the same as squaring that number's last digit, and the square of that number's last digit is the one's digit of the square.

Complete step by step answer:
We have given 77 and first we will find the square and then find the one’s digit of that squared number.
So, the given number is 77
We want to know the last digit,
Here the last digit of 77 is 7.
We know that the square of 7 is 49.
So, 72=49
The last digit of 49 is 9.
Hence, the one’s digit of the square of 77 is 9.

Note:
Be careful not to get confused when choosing the correct digit of the number when solving this. In order to find the last digit of a number's square, instead of a large process of multiplying the number with itself two times, which is a tedious process. As a result, we simply find the square of the last digit of the given number, and the resulting last digit of the last digit square is the one's digit of the given number's square.