Final answer:
The requested decimal number with the given place values is 496.1758, which corresponds to option B. It is constructed by placing each digit in the appropriate place value within the decimal system.
Step-by-step explanation:
The student has asked to identify which decimal number contains specific place values: 9 tens, 8 ten-thousandths, 7 hundredths, 6 ones, 5 thousandths, 4 hundreds, and 1 tenth. To construct the number, we'll place each value in its respective position based on the decimal system.
Here's how it works:
- 4 hundreds = 400
- 9 tens = 90
- 6 ones = 6
- 1 tenth = 0.1
- 7 hundredths = 0.07
- 5 thousandths = 0.005
- 8 ten-thousandths = 0.0008
Combining all these place values, we get 496.1758, which matches option B.
This demonstrates the importance of understanding place value and reassures that the calculator answer does not always reflect the correct representation of place values as described in a question, but rather shows the computational result which may still need to be interpreted or rounded correctly.