Subjects arithmetic

Digit Move Value

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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: $59999.94$