Unit digit of the square of 24979

Here we will show you two ways of finding the unit digit of the square of 24979. First, we will define what the unit digit of the square of 24979 means. Next, we will find the unit digit of the square of 24979 using the Rule Method, and then we will find the unit digit of the square of 24979 using the Math Method.

The last digit (one digit) of the product you get when you multiply 24979 by itself is the unit digit of the square of 24979.

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 24979 depends on 9, because that is the last digit in 24979. 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 24979 is 9, therefore Rule B applies, and the unit digit of the square of 24979 is 1.

Unit digit of the square of 24979 = 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 24979 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 24979 = 1

Of course, instead of using either of the methods above, you can multiply 24979 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 24979. We did that below to double-check that our answer is correct:

24979 × 24979 = 623950441
Unit digit of 623950441 is 1.
Unit digit of the square of 24979 = 1

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