Which list shows the absolute values in order from greatest to least? Select each correct answer. ∣∣−156∣∣ , ∣∣−1712∣∣ , ∣∣1512∣∣ ∣∣−313∣∣ , ∣∣−323∣∣ , ∣∣223∣∣ ∣∣−657∣∣ , ∣∣−637∣∣ , ∣∣527∣∣ ∣∣11710∣∣ , ∣∣−1135∣∣ , ∣∣10310∣∣

Explanation:

By definition, the absolute value is equivalent to the distance between the number and zero, independently of the positive or negative symbol. It is also known as a numerical magnitude of the number. An absolute value is always equal to or bigger than zero. It is never negative. This is, the absolute value of the exact opposite numbers is always the same value. For example, the absolute value of the opposite numbers such as 8 and -8 is always I8I. When referring to absolute values we must always write them between two vertical and parallel bars: II symbols. So, I8I is the absolute value of -8.

...-9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9...

         ↑ ║8║↑↑ ║8║ ↑

            Absolute value of -8         Absolute value of 8

According to these options:

and knowing what the absolute values are, we can confirm that the absolute values in order from greatest to least, is reflected by the ║−657║ , ║−637║ , ║527║ option.

Absolute values:

increase soil erosion                                             reduce soil erosion

cattle grazing                                                         hydroseeding

deforestation                                                         contour plowing

                                                                                planting vegetation

plant roots basically hold the top soil

together and stop soil erosion because

in such situation top soil is not removed

during flood but cattle grazing causes

soil erosion because cattle consume the

grasses and herbs and top soil is exposed.

same situation occurs because of

deforestation, the trees and plants are cut

down to expose top soil which causes soil

erosion

the answers are a and c