[15+(−3)−(−12)]−[−8+17+(−18)]=…

[15+(−3)−(−12)]−[−8+17+(−18)]=…

a. −33
b. −23
c. 23
d. 33

Jawaban yang benar adalah (D) 33.

Pembahasan :

Persoalan diatas dapat diselesaikan dengan operasi hitung penjumlahan. Penjumlahan merupakan operasi hitung matematika yang menambahkan bilangan satu dengan bilangan lainnya dan menghasilkan bilangan baru.

Konsep perhitungan :
a – (–b) = a + b
–a + b = –(b – a) → untuk a > b
–a + b = b – a → untuk b > a

Penyelesaian :
[15 + (–3) – (–12)] – [–8 + 17 + (–18)] = [15 – 3 + 12] – [–8 + 17 – 18] = [12 + 12] – [17 – 8 – 18] = 24 – [9 – 18] = 24 – [–(18 – 9)] = 24 – (–9)
= 24 + 9
= 33

Jadi, hasil dari [15+(−3)−(−12)]−[−8+17+(−18)] adalah 33.

Oleh karena itu, jawaban yang tepat adalah D.

 

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