What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate exact value)
`1.99xx3.01-14.97xx4.98+(8.99)^2=?`

Options

A. 4
B. 16
C. 12
D. 28

Answer

To solve the expression \( 1.99 \times 3.01 - 14.97 \times 4.98 + (8.99)^2 \) and find the approximate value, we can follow these steps:

### Step-by-Step Solution:

1. **Approximate the Numbers:**
- \( 1.99 \approx 2 \)
- \( 3.01 \approx 3 \)
- \( 14.97 \approx 15 \)
- \( 4.98 \approx 5 \)
- \( 8.99 \approx 9 \)

2. **Rewrite the Expression:**
Substitute the approximated values into the expression:
\[ 2 \times 3 - 15 \times 5 + 9^2 \]

3. **Calculate Each Part:**
- First, calculate \( 2 \times 3 \):
\[ 2 \times 3 = 6 \]
- Next, calculate \( 15 \times 5 \):
\[ 15 \times 5 = 75 \]
- Then, calculate \( 9^2 \):
\[ 9^2 = 81 \]

4. **Combine the Results:**
Now substitute these results back into the expression:
\[ 6 - 75 + 81 \]

5. **Perform the Operations:**
- First, calculate \( 6 - 75 \):
\[ 6 - 75 = -69 \]
- Then, add \( 81 \):
\[ -69 + 81 = 12 \]

6. **Final Result:**
The approximate value that comes in place of the question mark (?) is:
\[ \text{?} \approx 12 \]