Final answer:
The decimal that has 9 tens, 8 ten-thousandths, 7 hundredths, 6 ones, 5 thousandths, 4 hundreds, and 1 tenth is 496.1758. The correct answer from the options provided is option b) 496.1758.
Step-by-step explanation:
To determine which decimal number matches the description given, we need to arrange the values as per their place values. The description provides:
- 9 tens
- 8 ten-thousandths
- 7 hundredths
- 6 ones
- 5 thousandths
- 4 hundreds
- 1 tenth
Let's put each value in its correct place value:
- 4 in the hundreds place
- 9 in the tens place
- 6 in the ones place
- 1 in the tenths place
- 7 in the hundredths place
- 5 in the thousandths place
- 8 in the ten-thousandths place
Combining these, we get the decimal number 496.1758. Looking at the options provided, we can see that the correct answer is option b) 496.1758.