Question

Which inequality correctly orders the numbers \[0.8\], \[-2.7\], and \[-2\]? Choose 1 answer: Choose 1 answer: (Choice A) \[-2>-2.7>0.8\] A \[-2>-2.7>0.8\] (Choice B) \[0.8>-2.7>-2\] B \[0.8>-2.7>-2\] (Choice C) \[-2.7>-2>0.8\] C \[-2.7>-2>0.8\] (Choice D) \[0.8>-2>-2.7\] D \[0.8>-2>-2.7\]

Answer 1

To order the numbers 0.8, -2.7, and -2, remember that positive numbers are greater than negatives, and among negatives, the number closest to zero is the greatest. Therefore, the correct inequality is 0.8 > -2 > -2.7.

Step-by-step explanation:

When comparing and ordering real numbers, such as 0.8, -2.7, and -2, it's essential to understand their positions on the number line. Positive numbers are always greater than negative numbers. Additionally, among negative numbers, the number that is closer to zero is greater because it has less negative value.

Here is the order from greatest to least:

0.8 because it's a positive number and hence greater than any negative number,

-2 since it's closer to zero than -2.7, making it greater,

-2.7 which is the smallest because it's the farthest from zero among the three.

So, the correct inequality to order these numbers is: 0.8 > -2 > -2.7.