Form the smallest and largest 4-digit number in each of the following without repeating the digits.
`4, 0, 2, 3`

Answer

To find the smallest and largest 4-digit numbers using the digits 4, 0, 2, and 3 without repeating any digits, we can follow these steps:

### Step 1: Identify the digits
The given digits are 4, 0, 2, and 3.

### Step 2: Form the smallest 4-digit number
1. **Start with the smallest non-zero digit**: Since we need a 4-digit number, we cannot start with 0. The smallest non-zero digit among the given digits is 2.
2. **Arrange the remaining digits in ascending order**: After placing 2, we have the digits 0, 3, and 4 left. Arranging these in ascending order gives us 0, 3, and 4.
3. **Combine them**: The smallest 4-digit number we can form is 2 (first digit) followed by 0, 3, and 4. Thus, the smallest number is **2034**.

### Step 3: Form the largest 4-digit number
1. **Start with the largest digit**: The largest digit among the given digits is 4.
2. **Arrange the remaining digits in descending order**: After placing 4, the remaining digits are 0, 2, and 3. Arranging these in descending order gives us 3, 2, and 0.
3. **Combine them**: The largest 4-digit number we can form is 4 (first digit) followed by 3, 2, and 0. Thus, the largest number is **4320**.

### Final Answer
- The smallest 4-digit number is **2034**.
- The largest 4-digit number is **4320**.

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