What approximate value should come in place of the question mark (?) in the following questions ?
Note : (You are not expected to calculate the exact value.)
`24.001 xx 14.999 xx 9.998 = ?`

Options

A. 4200
B. 3000
C. 3600
D. 4000

Answer

To find the approximate value of the expression \( 24.001 \times 14.999 \times 9.998 \), we can simplify each number to make the calculation easier. Here’s a step-by-step breakdown:

### Step 1: Approximate each number
- **Approximate \( 24.001 \)**: This is very close to \( 24 \), so we can approximate it as \( 24 \).
- **Approximate \( 14.999 \)**: This is very close to \( 15 \), so we can approximate it as \( 15 \).
- **Approximate \( 9.998 \)**: This is very close to \( 10 \), so we can approximate it as \( 10 \).

### Step 2: Rewrite the expression with approximations
Now, we can rewrite the expression using our approximations:
\[ 24.001 \times 14.999 \times 9.998 \approx 24 \times 15 \times 10 \]

### Step 3: Calculate the product
Now, we calculate the product step by step:
1. Calculate \( 24 \times 15 \):
\[ 24 \times 15 = 360 \]
2. Now multiply \( 360 \) by \( 10 \):
\[ 360 \times 10 = 3600 \]

### Conclusion
Thus, the approximate value of \( 24.001 \times 14.999 \times 9.998 \) is \( 3600 \).

### Final Answer
The answer is \( 3600 \).

---