What approximate value should come in place of the question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value.)
`1884.88div144.921+6.99+(?)^2=69.09`

Options

A. 3
B. 4
C. 7
D. 6

Answer

To solve the equation \( 1884.88 \div 144.921 + 6.99 + (?)^2 = 69.09 \) and find the approximate value of \( ? \), we can follow these steps:

### Step 1: Approximate the values
First, we can round the numbers to make calculations easier:
- \( 1884.88 \) can be approximated to \( 1885 \).
- \( 144.921 \) can be approximated to \( 145 \).
- \( 6.99 \) can be approximated to \( 7 \).
- \( 69.09 \) can be approximated to \( 69 \).

### Step 2: Rewrite the equation
Now, we can rewrite the equation with these approximations:
\[ \frac{1885}{145} + 7 + (?)^2 = 69 \]

### Step 3: Calculate the division
Next, we calculate \( \frac{1885}{145} \):
\[ 1885 \div 145 \approx 13 \]
(Since \( 145 \times 13 = 1885 \))

### Step 4: Substitute the value back into the equation
Now, substitute \( 13 \) back into the equation:
\[ 13 + 7 + (?)^2 = 69 \]

### Step 5: Simplify the equation
Combine the constants:
\[ 20 + (?)^2 = 69 \]

### Step 6: Isolate \( (?)^2 \)
Now, isolate \( (?)^2 \) by subtracting \( 20 \) from both sides:
\[ (?)^2 = 69 - 20 \]
\[ (?)^2 = 49 \]

### Step 7: Solve for \( ? \)
Finally, take the square root of both sides to find \( ? \):
\[ ? = \sqrt{49} \]
\[ ? = 7 \]

Thus, the approximate value that should come in place of the question mark (?) is **7**.