Unit digit of the square of 24799

Here we will show you two ways of finding the unit digit of the square of 24799. First, we will define what the unit digit of the square of 24799 means. Next, we will find the unit digit of the square of 24799 using the Rule Method, and then we will find the unit digit of the square of 24799 using the Math Method.

The last digit (one digit) of the product you get when you multiply 24799 by itself is the unit digit of the square of 24799.

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 24799 depends on 9, because that is the last digit in 24799. 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 24799 is 9, therefore Rule B applies, and the unit digit of the square of 24799 is 1.

Unit digit of the square of 24799 = 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 24799 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 24799 = 1

Of course, instead of using either of the methods above, you can multiply 24799 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 24799. We did that below to double-check that our answer is correct:

24799 × 24799 = 614990401
Unit digit of 614990401 is 1.
Unit digit of the square of 24799 = 1

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