1. **State the problem:** We need to find how many times greater the value of the digit 2 in 270,413 is compared to the value of the digit 2 in 419,427. 2. **Identify the place values:** - In 270,413, the digit 2 is in the hundred-thousands place. - In 419,427, the digit 2 is in the tens place. 3. **Write the values of the digits:** - Value of 2 in 270,413 is $2 \times 100,000 = 200,000$. - Value of 2 in 419,427 is $2 \times 10 = 20$. 4. **Calculate how many times greater:** $$\frac{200,000}{20} = \frac{\cancel{200,000}}{\cancel{20}} = 10,000$$ 5. **Answer:** The value of the 2 in 270,413 is 10,000 times greater than the value of the 2 in 419,427.