Find out the unit digit in the following expression.
`584 xx 328 xx 547 xx 613 `

Options

A. a) 4
B. b) 8
C. c) 2
D. d) 5

Answer

To find the unit digit of the expression \( 584 \times 328 \times 547 \times 613 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Unit Digits**:
- The unit digit of \( 584 \) is \( 4 \).
- The unit digit of \( 328 \) is \( 8 \).
- The unit digit of \( 547 \) is \( 7 \).
- The unit digit of \( 613 \) is \( 3 \).

2. **Multiply the Unit Digits**:
- Now, we will multiply the unit digits we found:
\[ 4 \times 8 \times 7 \times 3 \]

3. **Calculate Step-by-Step**:
- First, multiply \( 4 \) and \( 8 \):
\[ 4 \times 8 = 32 \]
The unit digit of \( 32 \) is \( 2 \).

- Next, multiply the result with \( 7 \):
\[ 2 \times 7 = 14 \]
The unit digit of \( 14 \) is \( 4 \).

- Finally, multiply the result with \( 3 \):
\[ 4 \times 3 = 12 \]
The unit digit of \( 12 \) is \( 2 \).

4. **Final Result**:
- Therefore, the unit digit of the entire expression \( 584 \times 328 \times 547 \times 613 \) is \( 2 \).

### Final Answer:
The unit digit of the expression is \( 2 \).