How many 4 digit numbers are there in the hindu-arabic numeration system ?

Options

A. 9000
B. 99
C. 8999
D. 9999

Answer

To find how many 4-digit numbers exist in the Hindu-Arabic numeration system, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Range of 4-Digit Numbers**:
- The smallest 4-digit number is **1000**.
- The largest 4-digit number is **9999**.

2. **Determine the Total Count of 4-Digit Numbers**:
- To find the total number of 4-digit numbers, we can use the formula:
\[ \text{Total Count} = \text{Largest Number} - \text{Smallest Number} + 1 \]
- Substituting the values:
\[ \text{Total Count} = 9999 - 1000 + 1 \]

3. **Calculate the Total Count**:
- Performing the calculation:
\[ 9999 - 1000 = 8999 \]
- Now add 1:
\[ 8999 + 1 = 9000 \]

4. **Conclusion**:
- Therefore, the total number of 4-digit numbers in the Hindu-Arabic numeration system is **9000**.

### Final Answer:
The total number of 4-digit numbers is **9000**.

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