17. For the preceding numbers, 1/2, 0.05, 5, 1/5, which of the following lists gives the numbers ordered from least to greatest?
Answer: D
0.05, 1/5, 1/2, 5
The numbers ordered from least to greatest are 0.05, 1/5, 1/2, and 5. This arrangement accurately reflects the numerical values of each fraction and decimal.
A) 1/2, 1/5, 0.05, 5
This option incorrectly places 1/2 as the smallest number and does not reflect the true order of the values. Since 1/2 is greater than both 1/5 and 0.05, this ordering is not valid.
B) 1/2, 0.05, 1/5, 5
This option also incorrectly positions 1/2 as the smallest number. It fails to recognize that 0.05 is less than both 1/2 and 1/5, making this sequence incorrect as well.
C) 0.05, 1/2, 1/5, 5
While this option starts with the smallest number, it incorrectly orders 1/2 and 1/5. Since 1/5 is less than 1/2, this arrangement does not reflect the correct order from least to greatest.
D) 0.05, 1/5, 1/2, 5
This option correctly lists the numbers in ascending order, starting with the smallest value, 0.05, followed by 1/5, then 1/2, and ending with the largest number, 5. This arrangement accurately represents their values.
Conclusion
The correct answer is option D, which provides the accurate ordering of the numbers from least to greatest. All other options fail to correctly sequence the values based on their numerical magnitude, highlighting the importance of comparing decimal and fractional representations accurately.