Buku Teks Matematik Tingkatan 1 (KSSM) – Latih Diri 1.2c (Nombor Nisbah)

Soalan 1:
Nilaikan setiap yang berikut:
(a) –9 × (– 4 + 6)
(b) 8 + (– 4) × 8
(c) 4 – 15 ÷ (–3) + (–8)
(d) $$ \frac{-14+(-22)}{-23-(-35)} $$
(e) –12 – 15 × (–3) – (– 6)
(f) $$ \frac{-6+(-8) \times(-5)}{-27-(-38)} $$

Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.


(a)
$$ \begin{aligned} & -9 \times(-4+6) \\ & =-9 \times(2) \\ & =-18 \end{aligned} $$

(b)
$$ \begin{aligned} & 8+(-4) \times 8 \\ & =8+(-32) \\ & =8-32 \\ & =-24 \end{aligned} $$

(c)
$$ \begin{aligned} & 4-15 \div(-3)+(-8) \\ & =4-[15 \div(-3)]+(-8) \\ & =4-(-5)-8 \\ & =4+5-8 \\ & =1 \end{aligned} $$

(d)
$$ \begin{aligned} & \frac{-14+(-22)}{-23-(-35)} \\ & =\frac{-14-22}{-23+35} \\ & =\frac{-36}{12} \\ & =-3 \end{aligned} $$

(e)
$$ \begin{aligned} & -12-15 \times(-3)-(-6) \\ & =-12-[15 \times(-3)]-(-6) \\ & =-12-(-45)+6 \\ & =-12+45+6 \\ & =39 \end{aligned} $$

(f)
$$ \begin{aligned} & \frac{-6+(-8) \times(-5)}{-27-(-38)} \\ & =\frac{-6+[-8 \times-5]}{-27+38} \\ & =\frac{-6+40}{-27+38} \\ & =\frac{34}{11} \\ & =3 \frac{1}{11} \end{aligned} $$