Unit digit of the square of 46381

Here we will show you two ways of finding the unit digit of the square of 46381. First, we will define what the unit digit of the square of 46381 means. Next, we will find the unit digit of the square of 46381 using the Rule Method, and then we will find the unit digit of the square of 46381 using the Math Method.

The last digit (one digit) of the product you get when you multiply 46381 by itself is the unit digit of the square of 46381.

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 46381 depends on 1, because that is the last digit in 46381. 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 46381 is 1, therefore Rule B applies, and the unit digit of the square of 46381 is 1.

Unit digit of the square of 46381 = 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 46381 is 1, so you multiply 1 by itself, and then look at the unit digit to get the answer once again:

1 × 1 = 1
Unit digit of 1 is 1.
Unit digit of the square of 46381 = 1

Of course, instead of using either of the methods above, you can multiply 46381 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 46381. We did that below to double-check that our answer is correct:

46381 × 46381 = 2151197161
Unit digit of 2151197161 is 1.
Unit digit of the square of 46381 = 1

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