What approximate value should come in place of the question mark (?) in the following question ?
(You are not expected to calculate the exact value )
989.001 + 1.00982 x 76.792 = ?

Options

A. 1000
B. 1100
C. 1066
D. 110

Answer

To solve the expression \( 989.001 + 1.00982 \times 76.792 \) and find the approximate value, we can follow these steps:

### Step 1: Approximate the first term
The first term is \( 989.001 \). To approximate this value, we look at the digits after the decimal point. Since \( 0.001 \) is less than \( 0.5 \), we round down.

**Approximation:**
\[ 989.001 \approx 989 \]

### Step 2: Approximate the second term
The second term is \( 1.00982 \). Again, we look at the digits after the decimal point. Since \( 0.00982 \) is less than \( 0.5 \), we round down.

**Approximation:**
\[ 1.00982 \approx 1 \]

### Step 3: Approximate the third term
The third term is \( 76.792 \). Here, \( 0.792 \) is greater than \( 0.5 \), so we round up.

**Approximation:**
\[ 76.792 \approx 77 \]

### Step 4: Substitute the approximated values into the expression
Now we substitute the approximated values back into the expression:
\[ 989 + 1 \times 77 \]

### Step 5: Perform the multiplication
Next, we perform the multiplication:
\[ 1 \times 77 = 77 \]

### Step 6: Perform the addition
Finally, we add the results:
\[ 989 + 77 = 1066 \]

### Final Result
Thus, the approximate value that should come in place of the question mark (?) is:
\[ \boxed{1066} \]

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