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The value of the digit 5 in the number 4517296.08 is 5 x 10^5.

In the number 4517296.08, the digit 5 is in the hundred-thousands place, which can be expressed as 5 x 10^5.

A) 5 x 10^5

This option is correct because the digit 5 represents five hundred thousand in the number 4517296.08, corresponding to its place value of 100,000.

B) 5 x 10^6

This option is incorrect as it represents five million, which is not the place value of the digit 5 in the given number. The digit 5 is not in the millions place.

C) 5 x 10^7

This option is incorrect because it denotes fifty million, which is significantly higher than the actual value of the digit 5 in the number 4517296.08. The digit 5 is not located in the tens of millions place.

D) 5 x 10^8

This option is also incorrect since it signifies five hundred million, which far exceeds the value of the digit 5 in this context. The digit 5 does not occupy the hundreds of millions place in the number.

Conclusion

The correct answer, 5 x 10^5, accurately represents the value of the digit 5 in the number 4517296.08, as it is in the hundred-thousands place. All other options misrepresent the place value of the digit 5, leading to incorrect interpretations of its value within the number.