Which is greater?

Algebra Level 2

Which is greatest? 23 % , 0.24 , 2 7 , 24 % × 1.2 , 0.25 × 7 6 , 3 7 × 70 % 23\%, \: 0.24, \: \frac{2}{7}, \: 24\% \times 1.2, \: 0.25 \times \frac{7}{6}, \: \frac{3}{7} \times 70\%

24 % × 1.2 24\% \times 1.2 3 7 × 70 % \frac{3}{7} \times 70\% 2 7 \frac{2}{7} 0.25 × 7 6 0.25 \times \frac{7}{6} 0.24 23 % 23\%

谦艺 伍 by 谦艺 伍 , 31, Malaysia

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1 solution

Hung Woei Neoh
Jun 28, 2016

The numbers are actually arranged in ascending order:

23 % = 0.23 0.24 2 7 ≈ 0.2857 24 % × 1.2 = 28.8 % = 0.288 0.25 × 7 6 = 7 24 ≈ 0.2917 3 7 × 70 % = 0.3 23\% = 0.23\\ 0.24\\ \dfrac{2}{7} \approx 0.2857\\ 24\% \times 1.2 = 28.8\% = 0.288\\ 0.25 \times \dfrac{7}{6} = \dfrac{7}{24} \approx 0.2917\\ \dfrac{3}{7} \times 70\% = 0.3

The greatest number is 3 7 × 70 % \boxed{\dfrac{3}{7} \times 70\%}

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