Digit Move Value
1. **State the problem:** We have the number 60429 formed by digits 4, 0, 6, 2, 9. The digit 6 is initially in the thousands place. We move the digit 6 to the hundredths place in the decimal form of the same digits. We need to find the new number and the difference in the value of the digit 6 before and after.
2. **Original number and value of 6:** The original number is $60429$. The digit 6 is in the ten-thousands place, so its value is:
$$6 \times 10^4 = 60000$$
3. **New number with 6 in the hundredths place:** Moving 6 to the hundredths place means the number looks like $4029.06$ (digits 4, 0, 2, 9 before the decimal, and 0, 6 after). The value of 6 in the hundredths place is:
$$6 \times 10^{-2} = 0.06$$
4. **Difference in value of digit 6:**
$$\text{Difference} = 60000 - 0.06 = 59999.94$$
5. **Final answers:**
- New number: $4029.06$
- Difference in value of digit 6: $59999.94$