What approximate value should come in place of question mark (?) in the equation in each of the following questions?
`4242 xx 42 =?`

Options

A. 168100
B. 178100
C. 179100
D. 135700

Answer

To find the approximate value of \( 4242 \times 42 \), we can follow these steps:

### Step 1: Simplify the numbers
We can round \( 4242 \) to a simpler number for easier multiplication. A good approximation would be \( 4200 \).

### Step 2: Multiply the rounded numbers
Now we will multiply the rounded number by \( 42 \):
\[ 4200 \times 42 \]

### Step 3: Break down the multiplication
We can break this down further:
\[ 4200 \times 42 = 4200 \times (40 + 2) = 4200 \times 40 + 4200 \times 2 \]

### Step 4: Calculate each part
1. Calculate \( 4200 \times 40 \):
\[ 4200 \times 40 = 168000 \]
2. Calculate \( 4200 \times 2 \):
\[ 4200 \times 2 = 8400 \]

### Step 5: Add the results
Now, we add the two results together:
\[ 168000 + 8400 = 176400 \]

### Step 6: Approximate the final result
The approximate value of \( 4242 \times 42 \) is \( 176400 \).

### Conclusion
Thus, the approximate value that should come in place of the question mark (?) is:
\[ \text{Answer: } 176400 \]