What approximate value should come in place of question mark (?) in the equation in each of the following questions?
`777 xx 404 = ?`

Options

A. 313000
B. 313500
C. 213900
D. 314000

Answer

To find the approximate value of \( 777 \times 404 \), we can simplify the multiplication by rounding the numbers to make the calculation easier.

**Step 1: Round the numbers.**
- We can round \( 404 \) to \( 400 \) for easier calculation.

**Step 2: Set up the multiplication.**
- Now, we will multiply \( 777 \) by \( 400 \):
\[ 777 \times 400 \]

**Step 3: Perform the multiplication.**
- To multiply, we can break it down:
\[ 777 \times 400 = 777 \times 4 \times 100 \]
- First, calculate \( 777 \times 4 \):
\[ 777 \times 4 = 3108 \]
- Now, multiply by \( 100 \):
\[ 3108 \times 100 = 310800 \]

**Step 4: Approximate the result.**
- The approximate value of \( 777 \times 404 \) is \( 310800 \).

**Step 5: Compare with the options.**
- The options given are:
- 313000
- 313500
- 314000
- 314300
- The closest option to \( 310800 \) is \( 314000 \).

Thus, the approximate value that should come in place of the question mark (?) is **314000**.