1. The problem asks how the value of the digit 5 changes from the number 500,000 to the number 0.5.
2. First, identify the place value of 5 in each number:
- In 500,000, the 5 is in the hundred-thousands place, so its value is $5 \times 100,000 = 500,000$.
- In 0.5, the 5 is in the tenths place, so its value is $5 \times 0.1 = 0.5$.
3. To find how the value changes, divide the smaller value by the larger value:
$$\frac{0.5}{500,000} = \frac{0.5}{5 \times 10^5} = 1 \times 10^{-6}$$
4. This means the value of the digit 5 in 0.5 is $1,000,000$ times less than in 500,000.
5. Therefore, the correct answer is: "The value of the 5 is now 1,000,000 times less."
Place Value Change 0Da9A0
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