$\boxed{\text{Soal Penerapan}}$
1. Hitunglah
$\boxed{(1)}$ $-2,4:(-0,6) \times 3$
Solusi.
$
\begin{aligned}
&=\left (-2\frac{4}{10}\right): \left(-\frac{6}{10}\right) \times 3\\
&=\left (-\frac{24}{10}\right)\times \left(-\frac{10}{6}\right) \times 3\\
&=\left (-\frac{4}{1}\right)\times \left(-\frac{1}{1}\right) \times 3\\
&=4\times 1\times3\\
&=12
\end{aligned}
$
$\boxed{(2)}$ $\frac{7}{12}-\frac{4}{9}-(-\frac{5}{18})$
\begin{aligned}
&=-\frac{5}{14}+\frac{6}{7} \times \frac{1}{3}\\
&=-\frac{5}{14}+\left(\frac{6}{7} \times \frac{1}{3}\right)\\
&=-\frac{5}{14}+\left(\frac{2}{7} \times \frac{1}{1}\right)\\
&=-\frac{5}{14}+\frac{2}{7}\\
&=-\frac{5}{14}+\frac{4}{14}\\
&=\frac{-5+4}{14}\\
&=-\frac{1}{14}
\end{aligned}
$
$
\begin{aligned}
&=\frac{1}{3}-\left(-\frac{7}{8}\right): \frac{7}{2}\\
&=\frac{1}{3}-\left(-\frac{7}{8}\times\frac{2}{7}\right)\\
&=\frac{1}{3}-\left(-\frac{1}{4}\times\frac{1}{1}\right)\\
&=\frac{1}{3}-\left(-\frac{1}{4}\right)\Leftrightarrow =\frac{1}{3}+\frac{1}{4} \\
&=\frac{4}{12}+\frac{3}{12}\Leftrightarrow =\frac{7}{12}\end{aligned}
$
$\boxed{\text{Soal Penerapan}}$
$\boxed{\text{2.}}$ Tabel di samping ini menunjukkan skor hasil uji kebugaran yang dilakukan lima orang A, B, C, D, E baris pertama. Baris kedua menunjukkan skor. Baris ketiga menunjukkan skor jika skor C dijadikan sebagai titik acuan. Jawablah pertanyaan berikut ini.
Sumber |: Buku Siswa Kelas VII Kurikulum Merdeka-Bab 1 Hal.57|
1. Hitunglah
$\boxed{(1)}$ $-2,4:(-0,6) \times 3$
Solusi.
$
\begin{aligned}
&=\left (-2\frac{4}{10}\right): \left(-\frac{6}{10}\right) \times 3\\
&=\left (-\frac{24}{10}\right)\times \left(-\frac{10}{6}\right) \times 3\\
&=\left (-\frac{4}{1}\right)\times \left(-\frac{1}{1}\right) \times 3\\
&=4\times 1\times3\\
&=12
\end{aligned}
$
$\boxed{(2)}$ $\frac{7}{12}-\frac{4}{9}-(-\frac{5}{18})$
Solusi.
$
\begin{aligned}
&=\frac{7}{12}-\frac{4}{9}-(-\frac{5}{18})\\
&=\frac{7}{12}-\frac{4}{9}+\frac{5}{18}\\
&=\frac{21-16+10}{36}\\
&=\frac{15}{36}\\
&=\frac{5}{12}
\end{aligned}
$
\begin{aligned}
&=\frac{7}{12}-\frac{4}{9}-(-\frac{5}{18})\\
&=\frac{7}{12}-\frac{4}{9}+\frac{5}{18}\\
&=\frac{21-16+10}{36}\\
&=\frac{15}{36}\\
&=\frac{5}{12}
\end{aligned}
$
$\boxed{(3)}$ $-6^2-(5-8)^2$
solusi.
$=-36-(-3)^2$
$=-36-9$
$=-45$
$\boxed{(4)}$ $(-4)^2+16:\left(-4^2\right)$
$\boxed{(4)}$ $(-4)^2+16:\left(-4^2\right)$
Solusi.
$=16+16:(-16)$
$=16+(-1)$
$=15$
$\boxed{(5)}$ $-\frac{5}{14}+\frac{6}{7} \times \frac{1}{3}$
$\boxed{(5)}$ $-\frac{5}{14}+\frac{6}{7} \times \frac{1}{3}$
Solusi.
$\begin{aligned}
&=-\frac{5}{14}+\frac{6}{7} \times \frac{1}{3}\\
&=-\frac{5}{14}+\left(\frac{6}{7} \times \frac{1}{3}\right)\\
&=-\frac{5}{14}+\left(\frac{2}{7} \times \frac{1}{1}\right)\\
&=-\frac{5}{14}+\frac{2}{7}\\
&=-\frac{5}{14}+\frac{4}{14}\\
&=\frac{-5+4}{14}\\
&=-\frac{1}{14}
\end{aligned}
$
$\boxed{(6)}$ $\frac{1}{3}-\left(-\frac{7}{8}\right): \frac{7}{2}$
Solusi.$
\begin{aligned}
&=\frac{1}{3}-\left(-\frac{7}{8}\right): \frac{7}{2}\\
&=\frac{1}{3}-\left(-\frac{7}{8}\times\frac{2}{7}\right)\\
&=\frac{1}{3}-\left(-\frac{1}{4}\times\frac{1}{1}\right)\\
&=\frac{1}{3}-\left(-\frac{1}{4}\right)\Leftrightarrow =\frac{1}{3}+\frac{1}{4} \\
&=\frac{4}{12}+\frac{3}{12}\Leftrightarrow =\frac{7}{12}\end{aligned}
$
$\boxed{(7)}$ $\frac{1}{8}-\left(-\frac{3}{4}\right)^2: 3$
Solusi.
$
\begin{aligned}
&=\frac{1}{8}-\left(-\frac{3}{4}\right)^2: 3\\
&=\frac{1}{8}-\left(-\frac{9}{16}\right): 3\\
&=\frac{1}{8}+\left(\frac{9}{16}\times\frac{1}{3}\right)\\
&=\frac{1}{8}+\left(\frac{3}{16}\right)\\
&={1}{8}+\frac{3}{16}~~\Leftrightarrow ~~=\frac{2+3}{16}\\
&=\frac{5}{16}\\
\end{aligned}
$
$\boxed{(8)}$ $6:\left(-\frac{3}{2}\right)+\frac{5}{2} \times(-4)$
\begin{aligned}
&=\frac{1}{8}-\left(-\frac{3}{4}\right)^2: 3\\
&=\frac{1}{8}-\left(-\frac{9}{16}\right): 3\\
&=\frac{1}{8}+\left(\frac{9}{16}\times\frac{1}{3}\right)\\
&=\frac{1}{8}+\left(\frac{3}{16}\right)\\
&={1}{8}+\frac{3}{16}~~\Leftrightarrow ~~=\frac{2+3}{16}\\
&=\frac{5}{16}\\
\end{aligned}
$
$\boxed{(8)}$ $6:\left(-\frac{3}{2}\right)+\frac{5}{2} \times(-4)$
Solusi.
$
\begin{aligned}
&=6:\left(-\frac{3}{2}\right)+\frac{5}{2} \times(-4)\\
&=\left [6\times(-\frac{2}{3}) \right ]+\left [ \frac{5}{2}\times(-4)\right ]\\
&=(-4)+(-10)\\
&=-14
\end{aligned}
$
$
\begin{aligned}
&=6:\left(-\frac{3}{2}\right)+\frac{5}{2} \times(-4)\\
&=\left [6\times(-\frac{2}{3}) \right ]+\left [ \frac{5}{2}\times(-4)\right ]\\
&=(-4)+(-10)\\
&=-14
\end{aligned}
$
$\boxed{\text{Soal Penerapan}}$
$\boxed{\text{2.}}$ Tabel di samping ini menunjukkan skor hasil uji kebugaran yang dilakukan lima orang A, B, C, D, E baris pertama. Baris kedua menunjukkan skor. Baris ketiga menunjukkan skor jika skor C dijadikan sebagai titik acuan. Jawablah pertanyaan berikut ini.
$$
\begin{array}{|c|c|c|c|c|c|}
\hline
& A & B & C & D & E \\
\hline
skor & 52 & 56 & 55 & 60 & 47 \\
\hline
\begin{array}{c}
\text{Skor}\\
\text{(C sebagai titik acuan)}\\
\end{array} & & +1 & 0 & & \\
\hline
\end{array}
$$
(1) Lengkapi tabel tersebut.
(2) Dengan menetapkan C sebagai titik acuan, hitunglah rata-rata skor limaorang tersebut. Tuliskan kalimat matematika yang kamu gunakan untuk menghitung hasilnya.
\begin{array}{|c|c|c|c|c|c|}
\hline
& A & B & C & D & E \\
\hline
skor & 52 & 56 & 55 & 60 & 47 \\
\hline
\begin{array}{c}
\text{Skor}\\
\text{(C sebagai titik acuan)}\\
\end{array} & & +1 & 0 & & \\
\hline
\end{array}
$$
(1) Lengkapi tabel tersebut.
(2) Dengan menetapkan C sebagai titik acuan, hitunglah rata-rata skor limaorang tersebut. Tuliskan kalimat matematika yang kamu gunakan untuk menghitung hasilnya.
Sumber |: Buku Siswa Kelas VII Kurikulum Merdeka-Bab 1 Hal.57|

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