Absolute value of X can be treated as a distance on the number line from zero to X, so it has no sign (or it's always positive, never negative). For example ∣ X ∣ = X but also: ∣ − X ∣ = X
That means that the absolute value of a rational number and its opposite may only be equal, if the rational number is lower than 0 (see the example above).
In Mathematics, the absolute value and the opposite of a rational number are equal when the rational number is zero. This is because the absolute value of zero is zero, and the opposite of zero is also zero. ;
The absolute value and the opposite of a rational number are equal only when the rational number is zero. For any other rational number, the absolute value is always non-negative, while the opposite is either negative or zero. Therefore, the only solution is x = 0.
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•°• Jarak dua kota pada peta adalah 5,5 cm. Jika skala pada peta 1 : 150.000, maka jarak sesungguhnya kedua kota tersebut adalah 8,25 km.[tex] \\ \\ [/tex]Penjelasan dengan langkah-langkah:1 km = 100.000 cm[tex] \: [/tex]jarak pada peta (Jp) = 5,5 cmskala peta = 1 : 150.000 → 1/150.000jarak sesungguhnya (Js) = ?[tex] \: [/tex]jp/js = skala5,5 cm/Js = 1/150.000Js = 5,5 ÷ 1/150.000Js = 5,5 × 150.000Js = 825.000 cmJs = 8,25 km[tex] \: [/tex]•°• Maka, jarak sesungguhnya dua kota tersebut adalah 8,25 km.[tex]~[/tex][tex]__________________________________________________________________________________________[/tex][tex] \\ \\ [/tex] [tex]\blue{\boxed{\colorbox{skyblue}{\rm{- AvR}}}}[/tex]