What should be added to the product `140xx101` to get 14414?

Options

A. 264
B. 274
C. 278
D. 364

Answer

To solve the problem, we need to find out what should be added to the product of \( 140 \times 101 \) to get \( 14,414 \).

### Step-by-Step Solution:

1. **Calculate the Product**:
First, we need to calculate the product of \( 140 \) and \( 101 \).
\[ 140 \times 101 = 14,140 \]

2. **Set Up the Equation**:
Let \( x \) be the number we need to find. According to the problem, we can set up the equation:
\[ 140 \times 101 + x = 14,414 \]
Substituting the product we calculated:
\[ 14,140 + x = 14,414 \]

3. **Isolate \( x \)**:
To find \( x \), we subtract \( 14,140 \) from both sides of the equation:
\[ x = 14,414 - 14,140 \]

4. **Perform the Subtraction**:
Now, we perform the subtraction:
\[ x = 274 \]

5. **Conclusion**:
Therefore, the number that should be added to the product \( 140 \times 101 \) to get \( 14,414 \) is \( 274 \).

### Final Answer:
The answer is \( 274 \).

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