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8 October, 01:09

Which of the following shows the correct order for - 1 2/5, (-1) ^2, - 1.4 and (1/2) ^2?

A) (-1) ^2 < - 1.4 < - 1 2/5 < (1/2) ^2

B) - 1.4 < - 1 2/5 < (1/2) ^2 < (-1) ^2

C) - 1 2/5 < - 1.4 < (1/2) ^2 < (-1) ^2

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Answers (1)
  1. 8 October, 02:02
    0
    To answer this question you have to make some calculations that permit makind the comparisson to place the numbers in order.

    1) - 1 2/5 is - (1 and 2/5) = - (1 + 2/5) = - (5 + 2) / 5 = - 7/5

    2) (-1) ^2 = 1

    3) - 1.4 = - 14/10 = - 7/5

    4) (1/2) ^2 = 1/4

    So,

    1) - 1.4 = - 7/5;

    2) all the negative numbers are less than any positive numbers.

    3) the fraction 1/4 is less than 1.

    Therefore, the order is: - 1.4 = - 7/5 < 1/4 < (-1) ^2.

    That option is not among the answers, so there is an error either in the statement of the question or in the set of choices.

    Answer: - 1.4 = - 7/5 < 1/4 < (-1) ^2
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