What approximate value should come in place of the question mark (?) in the following questions ? (You are not expected to calculate the exact value.)
`96.996 xx 9.869 + 0.96 = ?`

Options

A. 971
B. 870
C. 1080
D. 965

Answer

To solve the problem, we need to find the approximate value of the expression \( 96.996 \times 9.869 + 0.96 \).

### Step-by-Step Solution:

1. **Approximate the first number**:
- The number \( 96.996 \) can be approximated to \( 97 \).
- **Hint**: Round \( 96.996 \) to the nearest whole number.

2. **Approximate the second number**:
- The number \( 9.869 \) can be approximated to \( 10 \).
- **Hint**: Round \( 9.869 \) to the nearest whole number.

3. **Multiply the approximated values**:
- Now, we multiply the approximated values:
\[ 97 \times 10 = 970 \]
- **Hint**: Remember that multiplying by 10 is straightforward; just add a zero to the number.

4. **Approximate the last number**:
- The number \( 0.96 \) can be approximated to \( 1 \).
- **Hint**: Round \( 0.96 \) to the nearest whole number.

5. **Add the results**:
- Now, we add the results from the multiplication and the approximation:
\[ 970 + 1 = 971 \]
- **Hint**: Simple addition of whole numbers.

6. **Final Result**:
- The approximate value that comes in place of the question mark (?) is \( 971 \).

### Conclusion:
The approximate value is \( 971 \).