What approximate value should come in place of question mark in the following equation?
`9876 div 24 cdot 96 + 215 cdot 005 - ? = 309 cdot 99`

Options

A. 395
B. 295
C. 300
D. 315

Answer

To find the approximate value that should come in place of the question mark in the equation:

\[ 9876 \div 24.96 + 215.005 - ? = 309.99 \]

we will follow these steps:

### Step 1: Approximate the values
- Instead of using the exact values, we will round them for easier calculations.
- Approximate \( 24.96 \) to \( 25 \).
- Approximate \( 215.005 \) to \( 215 \).
- Approximate \( 309.99 \) to \( 310 \).

### Step 2: Rewrite the equation
The equation now looks like this:
\[ 9876 \div 25 + 215 - ? = 310 \]

### Step 3: Perform the division
Now, calculate \( 9876 \div 25 \):
- \( 9876 \div 25 = 395.04 \) (approximately)

### Step 4: Substitute back into the equation
Now substitute this value back into the equation:
\[ 395.04 + 215 - ? = 310 \]

### Step 5: Add the values
Calculate \( 395.04 + 215 \):
- \( 395.04 + 215 = 610.04 \)

### Step 6: Rearrange the equation to find ?
Now we can rearrange the equation to solve for \( ? \):
\[ 610.04 - ? = 310 \]

### Step 7: Isolate ?
Now isolate \( ? \):
\[ ? = 610.04 - 310 \]

### Step 8: Perform the subtraction
Calculate \( 610.04 - 310 \):
- \( 610.04 - 310 = 300.04 \)

### Step 9: Approximate the result
Since we are looking for an approximate value, we can round \( 300.04 \) to \( 300 \).

Thus, the approximate value that should come in place of the question mark is:
\[ ? \approx 300 \]

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