Unit digit of the square of 3793

Here we will show you two ways of finding the unit digit of the square of 3793. First, we will define what the unit digit of the square of 3793 means. Next, we will find the unit digit of the square of 3793 using the Rule Method, and then we will find the unit digit of the square of 3793 using the Math Method.

The last digit (one digit) of the product you get when you multiply 3793 by itself is the unit digit of the square of 3793.

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 3793 depends on 3, because that is the last digit in 3793. 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 3793 is 3, therefore Rule F applies, and the unit digit of the square of 3793 is 9.

Unit digit of the square of 3793 = 9

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 3793 is 3, so you multiply 3 by itself, and then look at the unit digit to get the answer once again:

3 × 3 = 9
Unit digit of 9 is 9.
Unit digit of the square of 3793 = 9

Of course, instead of using either of the methods above, you can multiply 3793 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 3793. We did that below to double-check that our answer is correct:

3793 × 3793 = 14386849
Unit digit of 14386849 is 9.
Unit digit of the square of 3793 = 9

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