Soalan 1:
Nilaikan setiap yang berikut.
$$ \text { (a) } 1 \frac{1}{6} \times\left(\frac{3}{4}+\frac{1}{5}\right) $$
$$ \text { (b) }-\frac{5}{6}+1 \frac{2}{3} \div\left(-\frac{3}{7}\right) $$
$$ \text { (c) }-2 \frac{1}{2} \div\left(-3 \frac{1}{3}\right)+\left(-\frac{1}{6}\right) $$
$$ \text { (d) }-6 \times\left(3 \frac{2}{7}-4 \frac{1}{2}\right) $$
$$ \text { (e) }-\frac{1}{3}+2 \frac{5}{6}-\frac{3}{8} \times 1 \frac{2}{3} $$
$$ \text { (f) }-\frac{1}{4}+\left(-\frac{4}{5}\right) \times 2 \frac{1}{6}-\frac{5}{16} $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
\begin{aligned} & 1 \frac{1}{6} \times\left(\frac{3}{4}+\frac{1}{5}\right) \\ & =\frac{7}{6} \times\left(\frac{15+4}{20}\right) \quad \begin{array}{l}\text { Pengiraan dalam tanda kurung } \\ \text { dilakukan dahulu }\end{array} \\ & =\frac{7}{6} \times \frac{19}{20} \\ & =\frac{133}{120} \\ & =1 \frac{13}{120}\end{aligned}
(b)
$$ \begin{aligned} & -\frac{5}{6}+1 \frac{2}{3} \div\left(-\frac{3}{7}\right) \quad \text { Pembahagian dilakukan dahulu. } \\ & =-\frac{5}{6}+\frac{5}{3} \times\left(-\frac{7}{3}\right) \quad \begin{array}{l} \text { Tukarkan } \div \text { kepada } \times \text { dan salingan } \\ \text { bagi }-\frac{3}{7} \text { ialah }-\frac{7}{3} . \end{array} \\ & =-\frac{5}{6}+\left(-\frac{35}{9}\right) \\ & =-\frac{5}{6}-\frac{35}{9} \\ & =-\frac{15}{18}-\frac{70}{18} \\ & =-\frac{85}{18} \\ & =-4 \frac{13}{18} \end{aligned} $$
(c)
$$ \begin{aligned} & -2 \frac{1}{2} \div\left(-3 \frac{1}{3}\right)+\left(-\frac{1}{6}\right) \\ & =-\frac{5}{2} \div\left(-\frac{10}{3}\right)+\left(-\frac{1}{6}\right) \text { Pembahagian dilakukan dahulu. } \\ & =-\frac{5}{2} \times\left(-\frac{3}{10}\right)-\frac{1}{6} \\ & =\frac{3}{4}-\frac{1}{6} \\ & =\frac{9}{12}-\frac{2}{12} \\ & =\frac{7}{12} \end{aligned} $$
(d)
\begin{aligned} & -6 \times\left(3 \frac{2}{7}-4 \frac{1}{2}\right) \begin{array}{l}\text { Pengiraan dalam tanda kurung } \\ \text { dilakukan dahulu }\end{array} \\ & =-6 \times\left(\frac{23}{7}-\frac{9}{2}\right) \\ & =-6 \times\left(\frac{46}{14}-\frac{63}{14}\right) \\ & =-6 \times\left(-\frac{17}{14}\right) \\ & =\frac{51}{7} \\ & =7 \frac{2}{7}\end{aligned}
(e)
$$ \begin{aligned} -\frac{1}{3}+2 \frac{5}{6}-\frac{3}{8} \times 1 \frac{2}{3} & =-\frac{1}{3}+\frac{17}{6}-\left(\frac{3}{8} \times \frac{5}{3}\right) \\ & =-\frac{1}{3}+\frac{17}{6}-\frac{5}{8} \\ & =-\frac{8}{24}+\frac{68}{24}-\frac{15}{24} \\ & =\frac{45}{24} \\ & =1 \frac{7}{8} \end{aligned} $$
(f)
$$ \begin{aligned} -\frac{1}{4}+\left(-\frac{4}{5}\right) \times 2 \frac{1}{6}-\frac{5}{16} & =-\frac{1}{4}-\left(\frac{4}{5} \times \frac{13}{6}\right)-\frac{5}{16} \\ & =-\frac{1}{4}-\frac{26}{15}-\frac{5}{16} \\ & =-\frac{60}{240}-\frac{416}{240}-\frac{75}{240} \\ & =-\frac{551}{240} \\ & =-2 \frac{71}{240} \end{aligned} $$
Nilaikan setiap yang berikut.
$$ \text { (a) } 1 \frac{1}{6} \times\left(\frac{3}{4}+\frac{1}{5}\right) $$
$$ \text { (b) }-\frac{5}{6}+1 \frac{2}{3} \div\left(-\frac{3}{7}\right) $$
$$ \text { (c) }-2 \frac{1}{2} \div\left(-3 \frac{1}{3}\right)+\left(-\frac{1}{6}\right) $$
$$ \text { (d) }-6 \times\left(3 \frac{2}{7}-4 \frac{1}{2}\right) $$
$$ \text { (e) }-\frac{1}{3}+2 \frac{5}{6}-\frac{3}{8} \times 1 \frac{2}{3} $$
$$ \text { (f) }-\frac{1}{4}+\left(-\frac{4}{5}\right) \times 2 \frac{1}{6}-\frac{5}{16} $$
Penyelesaian:
Apabila melakukan penghitungan yang melibatkan gabungan operasi ke atas integer, ikut tertib operasi yang berikut.
(a)
\begin{aligned} & 1 \frac{1}{6} \times\left(\frac{3}{4}+\frac{1}{5}\right) \\ & =\frac{7}{6} \times\left(\frac{15+4}{20}\right) \quad \begin{array}{l}\text { Pengiraan dalam tanda kurung } \\ \text { dilakukan dahulu }\end{array} \\ & =\frac{7}{6} \times \frac{19}{20} \\ & =\frac{133}{120} \\ & =1 \frac{13}{120}\end{aligned}
(b)
$$ \begin{aligned} & -\frac{5}{6}+1 \frac{2}{3} \div\left(-\frac{3}{7}\right) \quad \text { Pembahagian dilakukan dahulu. } \\ & =-\frac{5}{6}+\frac{5}{3} \times\left(-\frac{7}{3}\right) \quad \begin{array}{l} \text { Tukarkan } \div \text { kepada } \times \text { dan salingan } \\ \text { bagi }-\frac{3}{7} \text { ialah }-\frac{7}{3} . \end{array} \\ & =-\frac{5}{6}+\left(-\frac{35}{9}\right) \\ & =-\frac{5}{6}-\frac{35}{9} \\ & =-\frac{15}{18}-\frac{70}{18} \\ & =-\frac{85}{18} \\ & =-4 \frac{13}{18} \end{aligned} $$
(c)
$$ \begin{aligned} & -2 \frac{1}{2} \div\left(-3 \frac{1}{3}\right)+\left(-\frac{1}{6}\right) \\ & =-\frac{5}{2} \div\left(-\frac{10}{3}\right)+\left(-\frac{1}{6}\right) \text { Pembahagian dilakukan dahulu. } \\ & =-\frac{5}{2} \times\left(-\frac{3}{10}\right)-\frac{1}{6} \\ & =\frac{3}{4}-\frac{1}{6} \\ & =\frac{9}{12}-\frac{2}{12} \\ & =\frac{7}{12} \end{aligned} $$
(d)
\begin{aligned} & -6 \times\left(3 \frac{2}{7}-4 \frac{1}{2}\right) \begin{array}{l}\text { Pengiraan dalam tanda kurung } \\ \text { dilakukan dahulu }\end{array} \\ & =-6 \times\left(\frac{23}{7}-\frac{9}{2}\right) \\ & =-6 \times\left(\frac{46}{14}-\frac{63}{14}\right) \\ & =-6 \times\left(-\frac{17}{14}\right) \\ & =\frac{51}{7} \\ & =7 \frac{2}{7}\end{aligned}
(e)
$$ \begin{aligned} -\frac{1}{3}+2 \frac{5}{6}-\frac{3}{8} \times 1 \frac{2}{3} & =-\frac{1}{3}+\frac{17}{6}-\left(\frac{3}{8} \times \frac{5}{3}\right) \\ & =-\frac{1}{3}+\frac{17}{6}-\frac{5}{8} \\ & =-\frac{8}{24}+\frac{68}{24}-\frac{15}{24} \\ & =\frac{45}{24} \\ & =1 \frac{7}{8} \end{aligned} $$
(f)
$$ \begin{aligned} -\frac{1}{4}+\left(-\frac{4}{5}\right) \times 2 \frac{1}{6}-\frac{5}{16} & =-\frac{1}{4}-\left(\frac{4}{5} \times \frac{13}{6}\right)-\frac{5}{16} \\ & =-\frac{1}{4}-\frac{26}{15}-\frac{5}{16} \\ & =-\frac{60}{240}-\frac{416}{240}-\frac{75}{240} \\ & =-\frac{551}{240} \\ & =-2 \frac{71}{240} \end{aligned} $$