For the preceding numbers, 1/2, 0.05, 5, 1/5, which of the following lists gives the numbers ordered from least to greatest?
0.05, 1/5, 1/2, 5
To order the numbers 1/2, 0.05, 5, and 1/5 from least to greatest, we first convert them to a common format. When expressed as decimals, 0.05 is the smallest, followed by 0.2 (1/5), then 0.5 (1/2), and finally 5. Thus, the correct order is 0.05, 1/5, 1/2, 5.
This choice incorrectly places 1/2 as the smallest value, disregarding that 0.05 is significantly less than all other numbers. The correct order does not reflect the actual numerical values.
Similar to option A, this choice mistakenly lists 1/2 first and places 0.05 before 1/5. Since 0.05 is less than both 1/2 and 1/5, this sequence is not accurate.
While this option correctly starts with 0.05, it incorrectly positions 1/2 before 1/5. Given that 1/5 (0.2) is greater than 0.05 but less than 1/2 (0.5), this choice fails to maintain the correct order.
This choice accurately reflects the correct ordering of the numbers from least to greatest: 0.05 (smallest), followed by 1/5 (0.2), then 1/2 (0.5), and finally 5 (largest).
To order the given numbers, understanding their decimal equivalents is crucial. The correct sequence is 0.05, 1/5, 1/2, and 5, reflecting their respective values accurately. Choices A, B, and C fail to represent the correct order, thereby demonstrating the importance of precise numerical comparison.
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