Select all the groups of numbers that are ordered correctly from least to greatest. (A) \( -5 \frac{1}{8^{\prime}}-4 \frac{3}{10^{\prime}}-3 \frac{1}{2^{\prime}}-1 \frac{3}{4} \) (B) \( 0.5, \frac{3}{4}, 60 \%, \frac{11}{10} \) (C) \( -15 \frac{3}{8^{\prime}},-15 \frac{3}{4^{\prime}}-15 \frac{7}{25^{\prime}}-15 \frac{1}{2} \) (D) \( -3.85,-3.8,-3.75,-3.6 \) (E) \( 2.2,225 \%, 2 \frac{1}{2}, \frac{14}{5} \)
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Alright, let’s dive into these groups of numbers and order them from least to greatest! (A) When converting the mixed numbers, we find that \( -5 \frac{1}{8} \) is indeed the smallest, and \( -1 \frac{3}{4} \) is the largest. Thus, they are ordered incorrectly. (B) Converting the numbers gives us \( 0.5 \) as \( \frac{1}{2} \), \( \frac{3}{4} \) as \( 0.75 \), \( 60\% \) as \( 0.6 \), and \( \frac{11}{10} \) as \( 1.1 \). The correct order should be \( 0.5, 60\%, \frac{3}{4}, \frac{11}{10} \). So, this group is ordered incorrectly. (C) Converting these mixed numbers shows that \( -15 \frac{7}{25} \) is the largest negative, thus ordered correctly: \( -15 \frac{7}{25}, -15 \frac{3}{4}, -15 \frac{3}{8}, -15 \frac{1}{2} \). (D) All of these numbers are already in decimal form, and we can clearly see \( -3.85, -3.8, -3.75, -3.6 \) are ordered from least to greatest! (E) We convert percentages to a decimal format, \( 225\% \) as \( 2.25 \) and, out of \( 2 \frac{1}{2} \) which is \( 2.5 \), we find the order \( 2.2, 2 \frac{1}{2}, \frac{14}{5}, 225\% \) is also incorrect. So the groups that are correctly ordered from least to greatest are (C) and (D)! Keep sharpening those number skills; they can take you far!
