Soalan 1:
Nilaikan setiap yang berikut.
$$ \text { (a) } 2.5+(-8) \div \frac{6}{5} \times 3.5 $$
$$ \text { (b) }\left(\frac{1}{4}+3.2 \times 2\right)-\left(5.4-\frac{2}{3} \div 0.04\right) $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
$$ \begin{aligned} 2.5+(-8) \div \frac{6}{5} \times 3.5 & =2.5-8 \times \frac{5}{6} \times 3.5 \\ & =2.5-\frac{20}{3} \times 3.5 \\ & =\frac{25}{10}-\left(\frac{20}{3} \times \frac{35}{10}\right) \\ & =\frac{5}{2}-\frac{70}{3} \\ & =\frac{15}{6}-\frac{140}{6} \\ & =-\frac{125}{6} \\ & =-20 \frac{5}{6} \end{aligned} $$
(b)
$$ \begin{aligned} & \left(\frac{1}{4}+3.2 \times 2\right)-\left(5.4-\frac{2}{3} \div 0.04\right) \\ & =\left(\frac{1}{4}+6.4\right)-\left(\frac{54}{10}-\frac{2}{3} \div \frac{4}{100}\right) \\ & =\left(\frac{1}{4}+\frac{64}{10}\right)-\left(\frac{27}{5}-\frac{2}{3} \times 25\right) \\ & =\frac{5}{20}+\frac{128}{20}-\left(\frac{27}{5}-\frac{50}{3}\right) \end{aligned} $$
$$ \begin{aligned} & =\frac{133}{20}-\frac{27}{5}+\frac{50}{3} \\ & =\frac{399}{60}-\frac{324}{60}+\frac{1000}{60} \\ & =\frac{1075}{60} \\ & =17 \frac{11}{12} \end{aligned} $$
Nilaikan setiap yang berikut.
$$ \text { (a) } 2.5+(-8) \div \frac{6}{5} \times 3.5 $$
$$ \text { (b) }\left(\frac{1}{4}+3.2 \times 2\right)-\left(5.4-\frac{2}{3} \div 0.04\right) $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
$$ \begin{aligned} 2.5+(-8) \div \frac{6}{5} \times 3.5 & =2.5-8 \times \frac{5}{6} \times 3.5 \\ & =2.5-\frac{20}{3} \times 3.5 \\ & =\frac{25}{10}-\left(\frac{20}{3} \times \frac{35}{10}\right) \\ & =\frac{5}{2}-\frac{70}{3} \\ & =\frac{15}{6}-\frac{140}{6} \\ & =-\frac{125}{6} \\ & =-20 \frac{5}{6} \end{aligned} $$
(b)
$$ \begin{aligned} & \left(\frac{1}{4}+3.2 \times 2\right)-\left(5.4-\frac{2}{3} \div 0.04\right) \\ & =\left(\frac{1}{4}+6.4\right)-\left(\frac{54}{10}-\frac{2}{3} \div \frac{4}{100}\right) \\ & =\left(\frac{1}{4}+\frac{64}{10}\right)-\left(\frac{27}{5}-\frac{2}{3} \times 25\right) \\ & =\frac{5}{20}+\frac{128}{20}-\left(\frac{27}{5}-\frac{50}{3}\right) \end{aligned} $$
$$ \begin{aligned} & =\frac{133}{20}-\frac{27}{5}+\frac{50}{3} \\ & =\frac{399}{60}-\frac{324}{60}+\frac{1000}{60} \\ & =\frac{1075}{60} \\ & =17 \frac{11}{12} \end{aligned} $$
Soalan 2:
Bagi setiap pola nombor yang berikut, lengkapkan dengan nombor nisbah yang sesuai.
Penyelesaian:
(a)
(b)
Bagi setiap pola nombor yang berikut, lengkapkan dengan nombor nisbah yang sesuai.
Penyelesaian:
(a)
(b)