What will be the units digit of the squares of the following numbers?

Options

A. 71
B. 669
C. 2533
D. 30827

Explanation

To find the units digit of the squares of the given numbers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Units Digit of Each Number:**
- For each number, we need to look at the last digit (units digit).

2. **Square the Units Digit:**
- Once we have the units digit, we will square it to find the units digit of the square of the original number.

3. **Determine the Units Digit of the Result:**
- The units digit of the squared result will be our answer for each number.

### Let's Solve the Given Numbers:

1. **For 71:**
- Units digit = 1
- Square of 1 = \(1^2 = 1\)
- Units digit of the square = 1

2. **For 669:**
- Units digit = 9
- Square of 9 = \(9^2 = 81\)
- Units digit of the square = 1 (since the last digit of 81 is 1)

3. **For 2533:**
- Units digit = 3
- Square of 3 = \(3^2 = 9\)
- Units digit of the square = 9

4. **For 30827:**
- Units digit = 7
- Square of 7 = \(7^2 = 49\)
- Units digit of the square = 9 (since the last digit of 49 is 9)

### Final Results:
- Units digit of the square of 71 = 1
- Units digit of the square of 669 = 1
- Units digit of the square of 2533 = 9
- Units digit of the square of 30827 = 9

### Summary of Units Digits:
- 71 → 1
- 669 → 1
- 2533 → 9
- 30827 → 9