Unit digit of the square of 5326

Here we will show you two ways of finding the unit digit of the square of 5326. First, we will define what the unit digit of the square of 5326 means. Next, we will find the unit digit of the square of 5326 using the Rule Method, and then we will find the unit digit of the square of 5326 using the Math Method.

The last digit (one digit) of the product you get when you multiply 5326 by itself is the unit digit of the square of 5326.

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 5326 depends on 6, because that is the last digit in 5326. 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 5326 is 6, therefore Rule E applies, and the unit digit of the square of 5326 is 6.

Unit digit of the square of 5326 = 6

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 5326 is 6, so you multiply 6 by itself, and then look at the unit digit to get the answer once again:

6 × 6 = 36
Unit digit of 36 is 6.
Unit digit of the square of 5326 = 6

Of course, instead of using either of the methods above, you can multiply 5326 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 5326. We did that below to double-check that our answer is correct:

5326 × 5326 = 28366276
Unit digit of 28366276 is 6.
Unit digit of the square of 5326 = 6

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