Unit digit of the square of 490

Here we will show you two ways of finding the unit digit of the square of 490. First, we will define what the unit digit of the square of 490 means. Next, we will find the unit digit of the square of 490 using the Rule Method, and then we will find the unit digit of the square of 490 using the Math Method.

The last digit (one digit) of the product you get when you multiply 490 by itself is the unit digit of the square of 490.

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 490 depends on 0, because that is the last digit in 490. 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 490 is 0, therefore Rule A applies, and the unit digit of the square of 490 is 0.

Unit digit of the square of 490 = 0

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 490 is 0, so you multiply 0 by itself, and then look at the unit digit to get the answer once again:

0 × 0 = 0
Unit digit of 0 is 0.
Unit digit of the square of 490 = 0

Of course, instead of using either of the methods above, you can multiply 490 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 490. We did that below to double-check that our answer is correct:

490 × 490 = 240100
Unit digit of 240100 is 0.
Unit digit of the square of 490 = 0

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