Find the unit's digit in the product of 437, 82, 28, 45 and 47.

Options

A. 0
B. 1
C. 2
D. 3

Answer

To find the unit's digit in the product of the numbers 437, 82, 28, 45, and 47, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Unit Digits**:
- First, we need to find the unit digit of each of the given numbers.
- The unit digit of 437 is **7**.
- The unit digit of 82 is **2**.
- The unit digit of 28 is **8**.
- The unit digit of 45 is **5**.
- The unit digit of 47 is **7**.

2. **List the Unit Digits**:
- Now, we can list the unit digits we found:
- 7 (from 437),
- 2 (from 82),
- 8 (from 28),
- 5 (from 45),
- 7 (from 47).

3. **Multiply the Unit Digits**:
- Next, we will multiply these unit digits together and focus only on the unit digit of the result at each step.
- Start multiplying:
- \( 7 \times 2 = 14 \) (unit digit is **4**)
- \( 4 \times 8 = 32 \) (unit digit is **2**)
- \( 2 \times 5 = 10 \) (unit digit is **0**)
- \( 0 \times 7 = 0 \) (unit digit is **0**)

4. **Conclusion**:
- Since we have encountered a unit digit of **0** in the multiplication, the unit digit of the entire product of the numbers 437, 82, 28, 45, and 47 is **0**.

### Final Answer:
The unit's digit in the product of 437, 82, 28, 45, and 47 is **0**.