Unit digit of the square of 10279

Here we will show you two ways of finding the unit digit of the square of 10279. First, we will define what the unit digit of the square of 10279 means. Next, we will find the unit digit of the square of 10279 using the Rule Method, and then we will find the unit digit of the square of 10279 using the Math Method.

The last digit (one digit) of the product you get when you multiply 10279 by itself is the unit digit of the square of 10279.

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 10279 depends on 9, because that is the last digit in 10279. 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 10279 is 9, therefore Rule B applies, and the unit digit of the square of 10279 is 1.

Unit digit of the square of 10279 = 1

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 10279 is 9, so you multiply 9 by itself, and then look at the unit digit to get the answer once again:

9 × 9 = 81
Unit digit of 81 is 1.
Unit digit of the square of 10279 = 1

Of course, instead of using either of the methods above, you can multiply 10279 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 10279. We did that below to double-check that our answer is correct:

10279 × 10279 = 105657841
Unit digit of 105657841 is 1.
Unit digit of the square of 10279 = 1

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