What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
`1395.98 + 412.04 - 2703.99 = ? - (31.02)^(2)`

Options

A. 28
B. 45
C. 65
D. 85

Answer

To solve the equation \( 1395.98 + 412.04 - 2703.99 = ? - (31.02)^{2} \) and find the approximate value of the question mark (?), we will follow these steps:

### Step 1: Approximate the numbers
We will round each number to the nearest whole number for easier calculations:
- \( 1395.98 \approx 1396 \)
- \( 412.04 \approx 412 \)
- \( 2703.99 \approx 2704 \)
- \( 31.02 \approx 31 \)

### Step 2: Rewrite the equation with approximations
Now we can rewrite the equation using these approximations:
\[ 1396 + 412 - 2704 = ? - (31)^{2} \]

### Step 3: Calculate the left side
First, we will add \( 1396 \) and \( 412 \):
\[ 1396 + 412 = 1808 \]

Next, we will subtract \( 2704 \) from \( 1808 \):
\[ 1808 - 2704 = -896 \]

### Step 4: Calculate \( (31)^{2} \)
Now we need to calculate \( (31)^{2} \):
\[ (31)^{2} = 961 \]

### Step 5: Rewrite the equation
Now we can rewrite the equation:
\[ -896 = ? - 961 \]

### Step 6: Solve for ?
To find the value of ?, we will add \( 961 \) to both sides:
\[ ? = -896 + 961 \]
\[ ? = 65 \]

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is \( 65 \).

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