Which set of numbers is correctly ordered from greatest to least?0752217.30,3.161/2075,735, 2213.162/2€3.161/72,7.30,

Which set of numbers is correctly ordered from greatest to least? 0752217.30,3.161/20
75,735, 2213.162/2€
3.161/72,7.30, 2017
3.1670, 27.36,7

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  1. It's D.

    Step-by-step explanation:

    Convert each number to decimal format.

    It is option D , if we convert as above we get

    7.36799, 7.36666.., 7.363636.., 7.33333..

  2. Step-by-step explanation:

    Given numbers: [tex]7\tfrac{1}{3}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,16\sqrt{2e}[/tex]

    We need to arrange these numbers from greatest to least .

    On writing these numbers in simplified form, we get

    [tex]7\tfrac{1}{3}=\frac{22}{3}=7.33\\\frac{221}{30}=7.367\\7.\overline{36}=7.3636...\\16\sqrt{2e}=16\times \sqrt{5.437}=16\times 2.332=37.312[/tex]

    Here,[tex]7.\overline{36}[/tex] has a non-terminating repeating decimal expansion .

    Vale of e = 2.718[tex]16\sqrt{2e}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,7\tfrac{1}{3}[/tex]

    The greatest number is [tex]16\sqrt{2e}[/tex]

    Then number less than [tex]16\sqrt{2e}[/tex] is [tex]\frac{221}{30}[/tex]

    Then number less than [tex]\frac{221}{30}[/tex] is [tex]7.\overline{36}[/tex]

    Then number less than [tex]7.\overline{36}[/tex] is [tex]7\tfrac{1}{3}[/tex]

    i.e [tex]16\sqrt{2e}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,7\tfrac{1}{3}[/tex]

    So, answer is option 4.

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