5752 Core Academic Skills for Educators — Praxis Core Reading 5738
1. In which of the following are the numbers √25, √2, 11/20, 3, and π listed from least to greatest?
Answer: D
√25, 11/20, √2, π, 3
The correct order from least to greatest is 3/20, √25, 11/50, √2, π, which corresponds to option D. This arrangement correctly reflects the numerical values of each term.
A) √25, √2, 11/20, 3, π
This option incorrectly lists the numbers because √25 is equal to 5, which is greater than both 3 and 11/20. Therefore, this order does not represent the ascending arrangement of the given numbers.
B) √2, √25, π, 3, 11/20
This option is also incorrect as it places √2 (approximately 1.41) before 3 and 11/20 (which is 0.55). Moreover, it lists π (approximately 3.14) after 3, which is incorrect since π is greater than 3.
C) 3/20, 11/50, √2, √25, π
While this option begins correctly with 3/20 and 11/50, it mistakenly places √25 before π, ignoring that π is approximately 3.14, which is less than √25 (5). Thus, the order is not accurate.
D) 3/20, √25, 11/50, √2, π
This option lists the numbers correctly from least to greatest. It accurately reflects that 3/20 is approximately 0.15, followed by 11/50 (0.22), then √2 (approximately 1.41), with √25 (5) next, and finally π (approximately 3.14), confirming the correct ascending order.
Conclusion
Option D is definitively correct as it accurately orders all numbers from least to greatest based on their actual numerical values. The other options fail to reflect the proper order due to misplacements of the values, demonstrating a misunderstanding of their comparative sizes.