Find the approximate value of (?) in the following questions.
`(17.989)^(3)"of" (199.94) div 5399.99 + (1.98)^(3) = ?`

Options

A. 219
B. 216
C. 224
D. 228

Answer

To find the approximate value of the expression given in the question, we will follow these steps:

### Step 1: Approximate the values
We will approximate the numbers in the expression:
- \( 17.989 \approx 18 \)
- \( 199.94 \approx 200 \)
- \( 5399.99 \approx 5400 \)
- \( 1.98 \approx 2 \)

### Step 2: Rewrite the expression
The expression can now be rewritten using these approximations:
\[ (18)^3 \text{ of } (200) \div (5400) + (2)^3 \]

### Step 3: Calculate \( (18)^3 \)
Now, we calculate \( (18)^3 \):
\[ (18)^3 = 18 \times 18 \times 18 = 5832 \]

### Step 4: Calculate \( (2)^3 \)
Next, we calculate \( (2)^3 \):
\[ (2)^3 = 2 \times 2 \times 2 = 8 \]

### Step 5: Apply the "of" operation
The "of" operation means multiplication, so we multiply \( 5832 \) by \( 200 \):
\[ 5832 \text{ of } 200 = 5832 \times 200 = 1166400 \]

### Step 6: Divide by \( 5400 \)
Now we divide \( 1166400 \) by \( 5400 \):
\[ \frac{1166400}{5400} = 216 \]

### Step 7: Add \( 8 \)
Finally, we add \( 8 \) to the result:
\[ 216 + 8 = 224 \]

### Conclusion
Thus, the approximate value of the expression is:
\[ ? = 224 \]