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23 March, 14:32

A teacher asks his students to write the numbers shown in order from least to greatest √115, 115/11, and 10.5624 Paul thinks the numbers are already in order. Sandra thinks the order should be reversed. who is right?

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  1. 23 March, 14:49
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    Two of the given numbers should be converted to the same format as the third number has. In this case, √115 and 115/11 should be converted to their decimal equivalents with four decimal places:

    √115 = 10.7238

    115/11 = 10.4545

    10.5624

    Having done this, we see immediately that the largest number is √115 = 10.7238.

    In ascending order, the numbers are: 10.4545, 10.5624 and 10.7238,

    corresponding to 115/11, 10.5624, √115
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