Find the unit digit of `135 xx 361 xx 970`.

Answer

To find the unit digit of the expression \( 135 \times 361 \times 970 \), we can follow these steps:

### Step 1: Identify the unit digits of each number
- The unit digit of \( 135 \) is \( 5 \).
- The unit digit of \( 361 \) is \( 1 \).
- The unit digit of \( 970 \) is \( 0 \).

### Step 2: Multiply the unit digits
Now, we will multiply the unit digits we found:
\[ 5 \times 1 \times 0 \]

### Step 3: Calculate the result
When we multiply these unit digits:
\[ 5 \times 1 = 5 \]
Then,
\[ 5 \times 0 = 0 \]

### Step 4: Conclusion
The unit digit of the product \( 135 \times 361 \times 970 \) is \( 0 \).

Thus, the final answer is:
\[ \text{Unit digit} = 0 \]

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