Soalan 1:
Nilaikan setiap yang berikut.
$$ \text { (a) }-0.6+\frac{3}{4} \times\left(-1 \frac{3}{5}\right) $$
$$ \text { (b) }\left(-\frac{17}{20}+0.8\right) \div\left(\frac{1}{2}-1.3\right) $$
$$ \text { (c) } 1.125+1 \frac{2}{3}-2 \frac{5}{6} \times\left(-\frac{8}{27}\right) $$
$$ \text { (d) }-3.25 \div \frac{13}{15}-\left(-2 \frac{1}{6}\right) \times 0.25 $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
$$ \begin{aligned} -0.6+\frac{3}{4} \times\left(-1 \frac{3}{5}\right) & =-0.6+\frac{3}{4} \times\left(-\frac{8}{5}\right) \longleftarrow \begin{array}{l} \text { Pendaraban } \\ \text { dilakukan dahulu. } \end{array} \\ & =-0.6-\frac{6}{5} \\ & =-\frac{6}{10}-\frac{12}{10} \longleftarrow \begin{array}{l} \text { Tukarkan perpuluhan } \\ \text { kepada pecahan dahulu. } \end{array} \\ & =-\frac{18}{10} \\ & =-1 \frac{8}{10} \\ & =-1 \frac{4}{5} \end{aligned} $$
(b)
$$ \begin{aligned} \left(-\frac{17}{20}+0.8\right) \div\left(\frac{1}{2}-1.3\right) & =\left(-\frac{17}{20}+\frac{8}{10}\right) \div\left(\frac{1}{2}-\frac{13}{10}\right) \\ & =\left(-\frac{17}{20}+\frac{16}{20}\right) \div\left(\frac{5}{10}-\frac{13}{10}\right) \\ & =-\frac{1}{20} \div\left(-\frac{8}{10}\right) \\ & =-\frac{1}{20} \times\left(-\frac{10}{8}\right) \\ & =\frac{1}{16} \end{aligned} $$
(c)
$$ \begin{aligned} & 1.125+1 \frac{2}{3}-2 \frac{5}{6} \times\left(-\frac{8}{27}\right) \\ & =1 \frac{125}{1000}+\frac{5}{3}-\frac{17}{6} \times\left(-\frac{8}{27}\right) \\ & =\frac{1125}{1000}+\frac{5}{3}-\frac{17}{6} \times\left(-\frac{8}{27}\right) \\ & =\frac{9}{8}+\frac{5}{3}+\frac{68}{81} \\ & =\frac{729}{648}+\frac{1080}{648}+\frac{544}{648} \\ & =\frac{2353}{648} \\ & =3 \frac{409}{648} \end{aligned} $$
(d)
$$ \begin{aligned} & -3.25 \div \frac{13}{15}-\left(-2 \frac{1}{6}\right) \times 0.25 \\ & =(-3.25) \times \frac{15}{13}+\frac{13}{6} \times \frac{25}{100} \\ & =-3 \frac{25}{100} \times \frac{15}{13}+\frac{13}{6} \times \frac{1}{4} \\ & =-\frac{13}{4} \times \frac{15}{13}+\frac{13}{24} \\ & =-\frac{15}{4}+\frac{13}{24} \\ & =-\frac{90}{24}+\frac{13}{24} \\ & =-\frac{77}{24} \\ & =-3 \frac{5}{24} \end{aligned} $$
Nilaikan setiap yang berikut.
$$ \text { (a) }-0.6+\frac{3}{4} \times\left(-1 \frac{3}{5}\right) $$
$$ \text { (b) }\left(-\frac{17}{20}+0.8\right) \div\left(\frac{1}{2}-1.3\right) $$
$$ \text { (c) } 1.125+1 \frac{2}{3}-2 \frac{5}{6} \times\left(-\frac{8}{27}\right) $$
$$ \text { (d) }-3.25 \div \frac{13}{15}-\left(-2 \frac{1}{6}\right) \times 0.25 $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
$$ \begin{aligned} -0.6+\frac{3}{4} \times\left(-1 \frac{3}{5}\right) & =-0.6+\frac{3}{4} \times\left(-\frac{8}{5}\right) \longleftarrow \begin{array}{l} \text { Pendaraban } \\ \text { dilakukan dahulu. } \end{array} \\ & =-0.6-\frac{6}{5} \\ & =-\frac{6}{10}-\frac{12}{10} \longleftarrow \begin{array}{l} \text { Tukarkan perpuluhan } \\ \text { kepada pecahan dahulu. } \end{array} \\ & =-\frac{18}{10} \\ & =-1 \frac{8}{10} \\ & =-1 \frac{4}{5} \end{aligned} $$
(b)
$$ \begin{aligned} \left(-\frac{17}{20}+0.8\right) \div\left(\frac{1}{2}-1.3\right) & =\left(-\frac{17}{20}+\frac{8}{10}\right) \div\left(\frac{1}{2}-\frac{13}{10}\right) \\ & =\left(-\frac{17}{20}+\frac{16}{20}\right) \div\left(\frac{5}{10}-\frac{13}{10}\right) \\ & =-\frac{1}{20} \div\left(-\frac{8}{10}\right) \\ & =-\frac{1}{20} \times\left(-\frac{10}{8}\right) \\ & =\frac{1}{16} \end{aligned} $$
(c)
$$ \begin{aligned} & 1.125+1 \frac{2}{3}-2 \frac{5}{6} \times\left(-\frac{8}{27}\right) \\ & =1 \frac{125}{1000}+\frac{5}{3}-\frac{17}{6} \times\left(-\frac{8}{27}\right) \\ & =\frac{1125}{1000}+\frac{5}{3}-\frac{17}{6} \times\left(-\frac{8}{27}\right) \\ & =\frac{9}{8}+\frac{5}{3}+\frac{68}{81} \\ & =\frac{729}{648}+\frac{1080}{648}+\frac{544}{648} \\ & =\frac{2353}{648} \\ & =3 \frac{409}{648} \end{aligned} $$
(d)
$$ \begin{aligned} & -3.25 \div \frac{13}{15}-\left(-2 \frac{1}{6}\right) \times 0.25 \\ & =(-3.25) \times \frac{15}{13}+\frac{13}{6} \times \frac{25}{100} \\ & =-3 \frac{25}{100} \times \frac{15}{13}+\frac{13}{6} \times \frac{1}{4} \\ & =-\frac{13}{4} \times \frac{15}{13}+\frac{13}{24} \\ & =-\frac{15}{4}+\frac{13}{24} \\ & =-\frac{90}{24}+\frac{13}{24} \\ & =-\frac{77}{24} \\ & =-3 \frac{5}{24} \end{aligned} $$