Unit digit of the square of 17175

Here we will show you two ways of finding the unit digit of the square of 17175. First, we will define what the unit digit of the square of 17175 means. Next, we will find the unit digit of the square of 17175 using the Rule Method, and then we will find the unit digit of the square of 17175 using the Math Method.

The last digit (one digit) of the product you get when you multiply 17175 by itself is the unit digit of the square of 17175.

Rule Method
The unit digit of any square will never be 2, 3, 7, or 8. It can be only 0, 1, 4, 5, 6, or 9. Furthermore, the unit digit of the square of a number depends on its units digit. In other words, the unit digit of the square of 17175 depends on 5, because that is the last digit in 17175. Here are the rules:

Rule A) If the unit digit of a number is 0, then the unit digit of the square of that number is 0.

Rule B) If the unit digit of a number is 1 or 9, then the unit digit of the square of that number is 1.

Rule C) If the unit digit of a number is 2 or 8, then the unit digit of the square of that number is 4.

Rule D) If the unit digit of a number is 5, then the unit digit of the square of that number is 5.

Rule E) If the unit digit of a number is 4 or 6, then the unit digit of the square of that number is 6.

Rule F) If the unit digit of a number is 3 or 7, then the unit digit of the square of that number is 9.

The unit digit of 17175 is 5, therefore Rule D applies, and the unit digit of the square of 17175 is 5.

Unit digit of the square of 17175 = 5

Math Method
The unit digit of the square of a number depends on its units digit with this method too. Here you multiply the unit digit of the number by itself, and then look at the unit digit of that product. Again, the unit digit of 17175 is 5, so you multiply 5 by itself, and then look at the unit digit to get the answer once again:

5 × 5 = 25
Unit digit of 25 is 5.
Unit digit of the square of 17175 = 5

Of course, instead of using either of the methods above, you can multiply 17175 by itself if you have the time or a calculator, and then identify the unit digit to get the answer to the unit digit of the square of 17175. We did that below to double-check that our answer is correct:

17175 × 17175 = 294980625
Unit digit of 294980625 is 5.
Unit digit of the square of 17175 = 5

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