Unit digit of the square of 3047

Here we will show you two ways of finding the unit digit of the square of 3047. First, we will define what the unit digit of the square of 3047 means. Next, we will find the unit digit of the square of 3047 using the Rule Method, and then we will find the unit digit of the square of 3047 using the Math Method.

The last digit (one digit) of the product you get when you multiply 3047 by itself is the unit digit of the square of 3047.

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 3047 depends on 7, because that is the last digit in 3047. 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 3047 is 7, therefore Rule F applies, and the unit digit of the square of 3047 is 9.

Unit digit of the square of 3047 = 9

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 3047 is 7, so you multiply 7 by itself, and then look at the unit digit to get the answer once again:

7 × 7 = 49
Unit digit of 49 is 9.
Unit digit of the square of 3047 = 9

Of course, instead of using either of the methods above, you can multiply 3047 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 3047. We did that below to double-check that our answer is correct:

3047 × 3047 = 9284209
Unit digit of 9284209 is 9.
Unit digit of the square of 3047 = 9

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