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

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.

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

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