Finding the Units Digit of the Square of a Number

To find the units digit of the square of any number, we only need to look at the units digit of the original number. The units digit of the square will be the units digit of the square of the original number's units digit.

In this question, the number is 1384.

The units digit of the number 1384 is 4.

Now, we need to find the square of this units digit:

\(4^2 = 4 \times 4 = 16\)

The units digit of the result (16) is 6.

Therefore, the units digit of the square of the number 1384 is 6.

Let's quickly look at the units digits when squaring other digits:

• \(0^2 = 0\) (Units digit is 0)
• \(1^2 = 1\) (Units digit is 1)
• \(2^2 = 4\) (Units digit is 4)
• \(3^2 = 9\) (Units digit is 9)
• \(4^2 = 16\) (Units digit is 6)
• \(5^2 = 25\) (Units digit is 5)
• \(6^2 = 36\) (Units digit is 6)
• \(7^2 = 49\) (Units digit is 9)
• \(8^2 = 64\) (Units digit is 4)
• \(9^2 = 81\) (Units digit is 1)

As seen from the list, the units digit of the square of a number ending in 4 will always end in 6.

Based on this, the units digit of the square of 1384 is 6.