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open vertical bar fraction numerator negative 1 over denominator 1 cross times 2 cross times open parentheses negative 3 close parentheses end fraction close vertical bar plus open vertical bar fraction numerator negative 2 over denominator 3 cross times 5 cross times 8 end fraction close vertical bar plus open vertical bar fraction numerator 3 over denominator 4 cross times open parentheses negative 5 close parentheses cross times 18 end fraction close vertical bar

Pembahasan Soal:

Nilai mutlak dari bilangan positif atau nol sama dengan bilangan itu sendiri. Nilai mutlak dari bilangan negatif pasti bernilai positif, karena negatif dari bilangan negatif adalah bilangan positif.

Dengan menggunakan sifat mutlak, maka didapatkan :

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar fraction numerator negative 1 over denominator 1 cross times 2 cross times open parentheses negative 3 close parentheses end fraction close vertical bar plus open vertical bar fraction numerator negative 2 over denominator 3 cross times 5 cross times 8 end fraction close vertical bar plus open vertical bar fraction numerator 3 over denominator 4 cross times open parentheses negative 5 close parentheses cross times 18 end fraction close vertical bar end cell equals cell open vertical bar fraction numerator negative 1 over denominator negative 6 end fraction close vertical bar plus open vertical bar fraction numerator negative 2 over denominator 120 end fraction close vertical bar plus open vertical bar fraction numerator 3 over denominator negative 360 end fraction close vertical bar end cell row blank equals cell 1 over 6 plus 2 over 120 plus 3 over 360 end cell row blank equals cell 1 over 6 plus 1 over 60 plus 1 over 120 end cell row blank equals cell fraction numerator 20 plus 2 plus 1 over denominator 120 end fraction end cell row blank equals cell 23 over 20 end cell end table

Maka, hasil dari ekspresi open vertical bar fraction numerator negative 1 over denominator 1 cross times 2 cross times open parentheses negative 3 close parentheses end fraction close vertical bar plus open vertical bar fraction numerator negative 2 over denominator 3 cross times 5 cross times 8 end fraction close vertical bar plus open vertical bar fraction numerator 3 over denominator 4 cross times open parentheses negative 5 close parentheses cross times 18 end fraction close vertical bar adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 23 over 20 end cell end table

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 10 Juni 2021

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