Question

Which of the following shows the correct order for -1, (-1)2, -1.4, and ()2? A) -1 < -1.4 < ()2 < (-1)2 B) (-1)2 < -1.4 < -1 < ()2 C) -1.4 < -1 < ()2 < (-1)2 D) -1.4 < -1 < ()2 < (-1)2

Answer 1

The question is about ordering of the given real numbers. Based on how we calculate the values, the correct order is -1.4, -1, ()2 (assumed to be 0), and (-1)2. So, the answer is option D.

Step-by-step explanation:

This question pertains to the concept of ordering real numbers. Let's examine each of them. The value of -1 is -1. For (-1)2, squaring a negative number actually yields a positive result, so (-1)2 turns into 1. When considering -1.4, this is less than -1 since numbers further to the left on a number line are smaller. For ()2, it seems like there's an omitted value there. Ordinarily, we would expect to see a specified value inside the parentheses to square.

If we assume that the value in the parentheses is 0, then ()2 will be 0 (since 0 squared is still 0). Therefore, the correct order would be -1.4 < -1 < ()2 < (-1)2, this matches the order of option D.

Learn more about Ordering Real Numbers