Answer:
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 <em>numerical magnitude of the number. </em>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:
- ∣∣−156∣∣ , ∣∣−1712∣∣ , ∣∣1512∣∣
- ∣∣−313∣∣ , ∣∣−323∣∣ , ∣∣223∣∣
- ∣∣−657∣∣ , ∣∣−637∣∣ , ∣∣527∣∣
- ∣∣11710∣∣ , ∣∣−1135∣∣ , ∣∣10310∣∣
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:
- ∣∣156∣∣ , ∣∣1712∣∣ , ∣∣1512∣∣ --> Not in order greatest to least
- ∣∣313∣∣ , ∣∣323∣∣ , ∣∣223∣∣ --> Not in order greatest to least
- ∣∣657∣∣ , ∣∣637∣∣ , ∣∣527∣∣ --> IN ORDER
- ∣∣11710∣∣ , ∣∣1135∣∣ , ∣∣10310∣∣ --> Not in order greatest to least
