What approximate value should come in place of question mark (?) in the following questions ? (Note: You are not expected to calculate the exact value)
`23.999 xx 9.004 xx 16.997`= ?

Options

A. 3672
B. 4100
C. 2700
D. 3700

Answer

To find the approximate value of the expression \(23.999 \times 9.004 \times 16.997\), we can round each number to a simpler form and then perform the multiplication. Here’s how we can do it step by step:

### Step 1: Round the numbers
- **Round 23.999** to the nearest whole number:
\[ 23.999 \approx 24 \]

- **Round 9.004** to the nearest whole number:
\[ 9.004 \approx 9 \]

- **Round 16.997** to the nearest whole number:
\[ 16.997 \approx 17 \]

### Step 2: Rewrite the expression
Now we can rewrite the expression using the rounded values:
\[ 24 \times 9 \times 17 \]

### Step 3: Calculate the multiplication
We can multiply these numbers step by step:
1. First, multiply \(24\) and \(9\):
\[ 24 \times 9 = 216 \]

2. Next, multiply the result by \(17\):
\[ 216 \times 17 \]

### Step 4: Simplify the multiplication
To simplify \(216 \times 17\), we can break it down:
- \(216 \times 10 = 2160\)
- \(216 \times 7 = 1512\)

Now, add these two results together:
\[ 2160 + 1512 = 3672 \]

### Final Answer
Thus, the approximate value of \(23.999 \times 9.004 \times 16.997\) is:
\[ \boxed{3672} \]