Pembahasan Soal Buku Paket Matematika SMP Kelas 7 Halaman 55 (Kurikulum Merdeka)

Hai sobat semuanya, pada postingan kali ini mimin akan sajikan pembahasan beberapa soal buku paket matematika SMP kelas 7 halaman 55 (kurikulum merdeka). Selamat belajar. Semoga bermanfaat.

Soal nomor 1 (Perkalian)

Berikut ini catatan yang perlu diperhatikan pada operasi perkalian pada bilangan bulat.

$\begin{array}{rl}(1).& (+2)\times (+5)\\ & =+(2\times 5)\\ & =10\\ \\ (2).& (+3)\times (-8)\\ & =-(3\times 8)\\ & =-24\\ \\ (3).& (-4)\times (+9)\\ & =-(4\times 9)\\ & =-36\\ \\ (4).& (-6)\times (-7)\\ & =+(6\times 7)\\ & =42\\ \\ (5).& 2\times (-6)\times (+10)\\ & =-(2\times 6\times 10)\\ & =-120\\ \\ (6).& -3\times 8\times (-2)\\ & =+(3\times 8\times 2)\\ & =48\\ \\ (7).& (-9{)}^2\\ & =(-9)\times (-9)\\ & =+(9\times 9)\\ & =81\\ \\ (8).& -9^2\\ & =-(9\times 9)\\ & =-81\\ \\ (9).& (-4{)}^3\\ & =(-4)\times (-4)\times (-4)\\ & =-(4\times 4\times 4)\\ & =-64\\ \\ (10).& 0,7^2\\ & =(0,7)\times (0,7)\\ & =+(0,7\times 0,7)\\ & =0,49\\ \\ (11).& (-\frac{3}{5})\times (+\frac{5}{8})\\ & =-(\frac{3}{5}\times \frac{5}{8})\\ & =-\frac{3}{8}\\ \\ (12).& 8\times (-\frac{1}{4})\times (-7)\\ & =+(8\times \frac{1}{4}\times 7)\\ & =14\end{array}$

Soal nomor 2 (Pembagian)

Berikut ini catatan yang perlu diperhatikan pada operasi pembagian pada bilangan bulat.

$\begin{array}{rl}(1).& (+12):(+6)\\ & =+(12:6)\\ & =2\\ \\ (2).& (+10):(-2)\\ & =-(10:2)\\ & =-5\\ \\ (3).& (-18):(+6)\\ & =-(18:6)\\ & =-3\\ \\ (4).& (-42):(-7)\\ & =+(42:7)\\ & =6\\ \\ (5).& 0:(-3)\\ & =0\\ \\ (6).& (+3,2):(-8)\\ & =-(3,2:8)\\ & =-0,4\\ \\ (7).& (-\frac{2}{3}):6\\ & =-(\frac{2}{3}\times \frac{1}{6})\\ & =-\frac{1}{9}\\ \\ (8).& (-12):(-\frac{4}{7})\\ & =+(12\times \frac{7}{4})\\ & =21\\ \\ (9).& \frac{5}{8}:(-\frac{3}{4})\\ & =-(\frac{5}{8}\times \frac{4}{3})\\ & =-\frac{5}{6}\end{array}$

Soal nomor 3 (Hitungan dengan Operasi Perkalian dan Pembagian)

Berikut ini catatan yang perlu diperhatikan pada hitungan dengan operasi perkalian dan pembagian.

$\begin{array}{rl}(1).& (-4):(-2)\times 7\\ & =(-4)\times (-\frac{1}{2})\times 7\\ & =+(4\times \frac{1}{2}\times 7)\\ & =14\\ \\ (2).& 20\times (-3):(-5)\\ & =20\times (-3)\times (-\frac{1}{5})\\ & =+(20\times 3\times \frac{1}{5})\\ & =12\\ \\ (3).& 6:(-9)\times 15\\ & =6\times (-\frac{1}{9})\times 15\\ & =-(6\times \frac{1}{9}\times 15)\\ & =-10\\ \\ (4).& (-3)\times 6:(-12)\\ & =(-3)\times 6\times (-\frac{1}{12})\\ & =+(3\times 6\times \frac{1}{12})\\ & =\frac{3}{2}\\ \\ (5).& (-48):(-8):(-4)\\ & =(-48)\times (-\frac{1}{8})\times (-\frac{1}{4})\\ & =-(48\times \frac{1}{8}\times \frac{1}{4})\\ & =-\frac{3}{2}\\ \\ (6).& \frac{2}{3}:(-\frac{9}{4})\times 4\\ & =\frac{2}{3}\times (-\frac{4}{9})\times 4\\ & =-(\frac{2}{3}\times \frac{4}{9}\times 4)\\ & =-\frac{32}{27}\end{array}$

Soal nomor 4 (Hitungan dengan Kombinasi Empat Operasi)

$\begin{array}{rl}(1).& (-4)+2\times (-3)\\ & =(-4)+(-6)\\ & =-10\\ \\ (2).& -8–6\times 3\\ & =-8–18\\ & =-26\\ \\ (3).& 18–72:(-9)\\ & =18–72\times (-\frac{1}{9})\\ & =18+8\\ & =26\\ \\ (4).& 3\times (-12)\\ & =-36\\ \\ (5).& (5-19):(-2)\\ & =(-14):(-2)\\ & =(-14)\times (-\frac{1}{2})\\ & =+(14\times \frac{1}{2})\\ & =7\\ \\ (6).& 4\times (-2)+(-14):2\\ & =4\times (-2)+(-14)\times \frac{1}{2}\\ & =(-8)+(-7)\\ & =-15\\ \\ (7).& 36:(-2{)}^2\\ & =36:4\\ & =9\\ \\ (8).& 10-4^2\\ & =10-16\\ & =-6\\ \\ (9).& (-5{)}^2+(-5^2)\\ & =25+(-25)\\ & =0\\ \\ (10).& (-45):3^2+15\\ & =(-45):9+15\\ & =(-45)\times \frac{1}{9}+15\\ & =(-5)+15\\ & =10\\ \\ (11).& 20+6\times (7-10)\\ & =20+6\times (-3)\\ & =20+(-18)\\ & =2\\ \\ (12).& 12-7\times 8+(-9)\\ & =12-7\times (-1)\\ & =12+7\\ & =19\\ \\ (13).& \frac{3}{4}+(-\frac{2}{3}):2\\ & =\frac{3}{4}+(-\frac{2}{3})\times \frac{1}{2}\\ & =\frac{3}{4}+(-\frac{1}{3})\\ & =\frac{9}{12}+(-\frac{4}{12})\\ & =\frac{5}{12}\\ \\ (14).& \frac{7}{9}-(-\frac{1}{3}{)}^2\\ & =\frac{7}{9}-\frac{1}{9}\\ & =\frac{6}{9}\\ & =\frac{2}{3}\end{array}$

Demikianlah pembahasan beberapa soal buku paket matematika SMP kelas 7 halaman 55 (kurikulum merdeka). Semoga bermanfaat. 

Referensi

Tim Gakko Tosho. 2021. Matematika untuk Sekolah Menengah Pertama Kelas VII. Jakarta: Kementerian Pendidikan, Kebudayaan, Riset, dan Teknologi.