The unit digit in the product (624 × 708 × 913 × 463) is:

Options

A. a. 2
B. b. 5
C. c. 6
D. d. 8

Answer

To find the unit digit in the product \( 624 \times 708 \times 913 \times 463 \), we can follow these steps:

### Step 1: Identify the unit digits of each number
First, we need to find the unit digit of each number in the product:
- The unit digit of \( 624 \) is \( 4 \).
- The unit digit of \( 708 \) is \( 8 \).
- The unit digit of \( 913 \) is \( 3 \).
- The unit digit of \( 463 \) is \( 3 \).

### Step 2: Multiply the unit digits
Now, we will multiply the unit digits we found:
\[ 4 \times 8 \times 3 \times 3 \]

### Step 3: Calculate the product step by step
1. First, multiply \( 4 \) and \( 8 \):
\[ 4 \times 8 = 32 \]
The unit digit of \( 32 \) is \( 2 \).

2. Next, take the result \( 2 \) and multiply it by the next unit digit \( 3 \):
\[ 2 \times 3 = 6 \]
The unit digit of \( 6 \) is \( 6 \).

3. Finally, take the result \( 6 \) and multiply it by the last unit digit \( 3 \):
\[ 6 \times 3 = 18 \]
The unit digit of \( 18 \) is \( 8 \).

### Conclusion
Thus, the unit digit in the product \( 624 \times 708 \times 913 \times 463 \) is \( 8 \).