{"version":1,"lectureId":"01M1HJ1TPJDF49TRGEBA66SJTK","attempt":0,"publication":{"slug":"mengenal-jenis-jenis-bilangan-untuk-siswa-kelas-6-sd","title":"Mengenal Jenis-Jenis Bilangan untuk Siswa Kelas 6 SD","subject":"mathematics","summary":"Lima kelompok bilangan yang perlu dikenal di sekolah dasar, dibangun satu per satu dengan gambar yang bisa diikuti. Bilangan asli, cacah, dan bulat tumbuh di atas satu garis bilangan yang sama, sehingga terlihat bahwa kelompoknya tidak berganti melainkan bertambah anggota. Bilangan prima dimulai dari memeriksa pembagi angka enam dan angka tujuh, lalu sebuah penunjuk berjalan di garis bilangan mencari prima berikutnya: dua, tiga, empat yang gagal, lima, tujuh, sebelas. Pecahan dan desimal diperkenalkan dengan satu batang cokelat yang dipotong empat, dibaca dua kali sebagai dua per empat dan sebagai nol koma lima. Ditutup dengan satu tabel ringkasan berisi kelima kelompok beserta contohnya.","metaDescription":"Kenali bilangan asli, cacah, bulat, prima, serta pecahan dan desimal lewat garis bilangan dan contoh sederhana untuk kelas 6 SD.","transcript":"Halo! Hari ini kita berkenalan dengan lima kelompok bilangan. Semuanya bisa kita letakkan pada satu garis bilangan seperti ini. Saat mulai berhitung, kita memakai satu, dua, tiga, empat, lima, dan seterusnya. Kelompok ini disebut bilangan asli. Perhatikan, nol belum ikut. Kalau nol kita masukkan juga, kelompoknya menjadi bilangan cacah. Sekarang lihat ke sebelah kiri nol. Ada minus satu, minus dua, minus tiga. Semuanya bersama nol dan bilangan positif disebut bilangan bulat. Jadi kelompoknya tidak berganti, hanya bertambah anggota: dari asli, ke cacah, lalu ke bulat. Sekarang kelompok keempat. Coba kita periksa angka enam. Enam bisa dibagi satu, dua, tiga, dan enam, jadi ada empat pembagi. Sekarang angka tujuh. Tujuh hanya bisa dibagi satu dan dirinya sendiri. Pembaginya tepat dua. Bilangan yang pembaginya tepat dua, yaitu satu dan dirinya sendiri, kita sebut bilangan prima. Ayo kita cari. Dua prima. Tiga prima. Empat tidak, karena bisa dibagi dua juga. Lima prima, tujuh prima, sebelas prima. Semua yang berwarna kuning adalah bilangan prima. Angka satu bukan prima, sebab pembaginya hanya satu. Kelompok terakhir: pecahan dan desimal. Ini satu batang cokelat yang dipotong menjadi empat bagian sama besar. Kalau kita ambil dua potong, itu dua per empat, atau setengah. Ditulis sebagai desimal, nol koma lima. Ambil satu potong lagi, jadi tiga per empat, atau nol koma tujuh lima. Pecahan dan desimal itu dua cara menulis jumlah yang sama. Mari kita ulangi kelimanya. Bilangan asli, yaitu satu, dua, tiga, dan seterusnya. Bilangan cacah menambahkan nol. Bilangan bulat menambahkan bilangan negatif. Bilangan prima punya tepat dua pembagi. Lalu pecahan dan desimal untuk jumlah yang tidak utuh. Itulah lima kelompok bilangan yang perlu kamu kenal. Sampai jumpa!","watch":{"version":1,"scenes":[{"title":"Bilangan Asli, Cacah, dan Bulat","start":0,"end":44.129208333333324,"objects":{"asli":"a Math [text] that says \"$upright(\"Bilangan asli\") : 1, 2, 3, 4, 5, dots$\"","bulat":"a Math [text] that says \"$upright(\"Bilangan bulat\") : dots, -2, -1, 0, 1, 2, dots$\"","cacah":"a Math [text] that says \"$upright(\"Bilangan cacah\") : 0, 1, 2, 3, 4, 5, dots$\"","garis":"a NumberLine (x_range=(-4.0, 6.0), include_numbers=True, numbers=AxisNumbers(font_size=36.0, decimal_digits=0, thousands_separat…)","heading":"a Heading that says \"Tiga Kelompok pada Satu Garis\"","m1":"a Point [red] drawn in garis (location=(-1.0, 0.0))","m2":"a Point [red] drawn in garis (location=(-2.0, 0.0))","m3":"a Point [red] drawn in garis (location=(-3.0, 0.0))","p0":"a Point [green] drawn in garis","p1":"a Point [blue] drawn in garis (location=(1.0, 0.0))","p2":"a Point [blue] drawn in garis (location=(2.0, 0.0))","p3":"a Point [blue] drawn in garis (location=(3.0, 0.0))","p4":"a Point [blue] drawn in garis (location=(4.0, 0.0))","p5":"a Point [blue] drawn in garis (location=(5.0, 0.0))"},"beats":[{"start":0,"say":"Halo! Hari ini kita berkenalan dengan lima kelompok bilangan. Semuanya bisa kita letakkan pada satu garis bilangan seperti ini.","live":[],"does":[[0,"heading is shown on the screen, written out."],[6.281,"garis is shown on the screen, written out."]]},{"start":8.5995,"say":"Saat mulai berhitung, kita memakai satu, dua, tiga, empat, lima, dan seterusnya. Kelompok ini disebut bilangan asli.","live":["garis","heading"],"does":[[10.852,"p1 is shown on the screen, written out."],[11.443999999999999,"p2 is shown on the screen, written out."],[11.873000000000001,"p3 is shown on the screen, written out."],[12.407,"p4 is shown on the screen, written out."],[12.883,"p5 is shown on the screen, written out."],[16.32,"asli is shown on the screen, written out."]]},{"start":17.6515,"say":"Perhatikan, nol belum ikut. Kalau nol kita masukkan juga, kelompoknya menjadi bilangan cacah.","live":["garis","asli","heading","p1","p2","p3","p4","p5"],"does":[[21.285,"p0 is shown on the screen, written out."],[23.909,"cacah is shown on the screen, written out."]]},{"start":25.292499999999997,"say":"Sekarang lihat ke sebelah kiri nol. Ada minus satu, minus dua, minus tiga. Semuanya bersama nol dan bilangan positif disebut bilangan bulat.","live":["garis","asli","cacah","heading","p1","p2","p3","p4","p5","p0"],"does":[[28.096999999999998,"m1 is shown on the screen, written out."],[28.955999999999996,"m2 is shown on the screen, written out."],[29.791999999999998,"m3 is shown on the screen, written out."],[34.760999999999996,"bulat is shown on the screen, written out."]]},{"start":36.092499999999994,"say":"Jadi kelompoknya tidak berganti, hanya bertambah anggota: dari asli, ke cacah, lalu ke bulat.","live":["garis","asli","cacah","bulat","heading","p1","p2","p3","p4","p5","p0","m1","m2","m3"],"does":[[40.306999999999995,"asli is indicated — a transient flash."],[41.05,"cacah is indicated — a transient flash."],[42.14099999999999,"bulat is indicated — a transient flash."],[43.08754166666667,"asli is hidden from the screen — left the board."],[43.08754166666667,"bulat is hidden from the screen — left the board."],[43.08754166666667,"cacah is hidden from the screen — left the board."],[43.08754166666667,"garis is hidden from the screen — left the board."],[43.08754166666667,"p1 is hidden from the screen — garis left the board."],[43.08754166666667,"p2 is hidden from the screen — garis left the board."],[43.08754166666667,"p3 is hidden from the screen — garis left the board."],[43.08754166666667,"p4 is hidden from the screen — garis left the board."],[43.08754166666667,"p5 is hidden from the screen — garis left the board."],[43.08754166666667,"p0 is hidden from the screen — garis left the board."],[43.08754166666667,"m1 is hidden from the screen — garis left the board."],[43.08754166666667,"m2 is hidden from the screen — garis left the board."],[43.08754166666667,"m3 is hidden from the screen — garis left the board."],[43.08754166666667,"heading is hidden from the screen — left the board."]]}]},{"title":"Bilangan Prima","start":44.129208333333324,"end":86.16862499999998,"objects":{"definisi":"a Text [text] that says \"Bilangan prima punya tepat dua pembagi.\"","garis":"a NumberLine (x_range=(0.0, 12.0), include_numbers=True, numbers=AxisNumbers(font_size=36.0, decimal_digits=0, thousands_separat…)","heading":"a Heading that says \"Bilangan Prima: Tepat Dua Pembagi\"","penunjuk":"a Point [magenta] labelled \"2\" drawn in garis (location=(<VariableNumber trial = 11.0>, 0.0))","point":"a Point [yellow] drawn in garis (location=(1.0, 0.0))","t11":"a Point [yellow] drawn in garis (location=(11.0, 0.0))","t2":"a Point [yellow] drawn in garis (location=(2.0, 0.0))","t3":"a Point [yellow] drawn in garis (location=(3.0, 0.0))","t5":"a Point [yellow] drawn in garis (location=(5.0, 0.0))","t7":"a Point [yellow] drawn in garis (location=(7.0, 0.0))","tabel":"a Table [text] that says \"Bilangan Pembagi 6 1, 2, 3, 6 7 1, 7\" (rows=(('Bilangan', 'Pembagi'), ('6', '1, 2, 3, 6'), ('7', '1, 7')), header=True)","trial":"a VariableNumber (initial_value=2.0, format_spec='.0f')"},"beats":[{"start":44.129208333333324,"say":"Sekarang kelompok keempat. Coba kita periksa angka enam. Enam bisa dibagi satu, dua, tiga, dan enam, jadi ada empat pembagi.","live":[],"does":[[44.129208333333324,"heading is shown on the screen, written out."],[44.129208333333324,"garis is shown on the screen, written out."],[46.42820833333332,"garis moves to a new place on the board."],[46.42820833333332,"tabel is shown on the screen, written out."],[51.55920833333332,"tabel is shown on the screen, written out."]]},{"start":53.09420833333333,"say":"Sekarang angka tujuh. Tujuh hanya bisa dibagi satu dan dirinya sendiri. Pembaginya tepat dua.","live":["garis","heading"],"does":[[53.936208333333326,"tabel is shown on the screen, written out."],[58.510208333333324,"tabel (the \"row=3\" part) is indicated — a transient flash."]]},{"start":60.75920833333332,"say":"Bilangan yang pembaginya tepat dua, yaitu satu dan dirinya sendiri, kita sebut bilangan prima.","live":null,"does":[[65.65820833333332,"definisi is shown on the screen, written out."]]},{"start":67.76170833333333,"say":"Ayo kita cari. Dua prima. Tiga prima. Empat tidak, karena bisa dibagi dua juga. Lima prima, tujuh prima, sebelas prima.","live":["definisi","garis","heading"],"does":[[67.95320833333332,"penunjuk is shown on the screen, written out."],[69.79920833333333,"t2 is shown on the screen, written out."],[70.40320833333332,"penunjuk is redrawn as the numbers it depends on change."],[70.40320833333332,"trial ticks to 3.0."],[70.71620833333333,"t3 is shown on the screen, written out."],[71.65720833333333,"penunjuk is redrawn as the numbers it depends on change."],[71.65720833333333,"trial ticks to 4.0."],[74.39720833333332,"penunjuk is redrawn as the numbers it depends on change."],[74.39720833333332,"trial ticks to 5.0."],[74.72220833333333,"t5 is shown on the screen, written out."],[75.15120833333333,"penunjuk is redrawn as the numbers it depends on change."],[75.15120833333333,"trial ticks to 7.0."],[75.47620833333333,"t7 is shown on the screen, written out."],[76.08020833333333,"penunjuk is redrawn as the numbers it depends on change."],[76.08020833333333,"trial ticks to 11.0."],[76.57920833333333,"t11 is shown on the screen, written out."]]},{"start":78.01570833333332,"say":"Semua yang berwarna kuning adalah bilangan prima. Angka satu bukan prima, sebab pembaginya hanya satu.","live":["definisi","garis","heading","penunjuk","t2","t3","t5","t7","t11"],"does":[[81.78820833333333,"point is shown on the screen, grown."],[83.22340712649458,"point is hidden from the screen."],[85.12695833333332,"definisi is hidden from the screen — left the board."],[85.12695833333332,"garis is hidden from the screen — left the board."],[85.12695833333332,"penunjuk is hidden from the screen — garis left the board."],[85.12695833333332,"t2 is hidden from the screen — garis left the board."],[85.12695833333332,"t3 is hidden from the screen — garis left the board."],[85.12695833333332,"t5 is hidden from the screen — garis left the board."],[85.12695833333332,"t7 is hidden from the screen — garis left the board."],[85.12695833333332,"t11 is hidden from the screen — garis left the board."],[85.12695833333332,"heading is hidden from the screen — left the board."],[85.12695833333332,"tabel is hidden from the screen — left the board."]]}]},{"title":"Pecahan dan Desimal","start":86.16862499999998,"end":114.70356249999998,"objects":{"batang":"a Figure (x_range=(0.0, 4.0), y_range=(0.0, 1.4), aspect=(4.0, 1.4))","dua":"a Math [text] that says \"$frac(2, 4) = frac(1, 2) = upright(\"0,5\")$\"","heading":"a Heading that says \"Pecahan dan Desimal\"","polygon":"a Polygon [gray] drawn in batang (vertices=((0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0)), filled=False, fill_opacity=0.55)","polygon_2":"a Polygon [gray] drawn in batang (vertices=((1.0, 0.0), (2.0, 0.0), (2.0, 1.0), (1.0, 1.0)), filled=False, fill_opacity=0.55)","polygon_3":"a Polygon [gray] drawn in batang (vertices=((2.0, 0.0), (3.0, 0.0), (3.0, 1.0), (2.0, 1.0)), filled=False, fill_opacity=0.55)","polygon_4":"a Polygon [gray] drawn in batang (vertices=((3.0, 0.0), (4.0, 0.0), (4.0, 1.0), (3.0, 1.0)), filled=False, fill_opacity=0.55)","polygon_5":"a Polygon [green] drawn in batang (vertices=((0.0, 0.0), (1.0, 0.0), (1.0, 1.0), (0.0, 1.0)), fill_opacity=0.55)","polygon_6":"a Polygon [green] drawn in batang (vertices=((1.0, 0.0), (2.0, 0.0), (2.0, 1.0), (1.0, 1.0)), fill_opacity=0.55)","polygon_7":"a Polygon [green] drawn in batang (vertices=((2.0, 0.0), (3.0, 0.0), (3.0, 1.0), (2.0, 1.0)), fill_opacity=0.55)","tiga":"a Math [text] that says \"$frac(3, 4) = upright(\"0,75\")$\""},"beats":[{"start":86.16862499999998,"say":"Kelompok terakhir: pecahan dan desimal. 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Bilangan asli, yaitu satu, dua, tiga, dan seterusnya.","live":[],"does":[[114.70356249999998,"heading is shown on the screen, written out."],[115.26056249999998,"tabel is shown on the screen, written out."],[117.21156249999997,"tabel is shown on the screen, written out."]]},{"start":122.01406249999998,"say":"Bilangan cacah menambahkan nol. Bilangan bulat menambahkan bilangan negatif.","live":["heading"],"does":[[123.10556249999998,"tabel is shown on the screen, written out."],[125.60156249999997,"tabel is shown on the screen, written out."]]},{"start":128.42506249999997,"say":"Bilangan prima punya tepat dua pembagi. Lalu pecahan dan desimal untuk jumlah yang tidak utuh.","live":null,"does":[[129.1045625,"tabel is shown on the screen, written out."],[131.77456249999997,"tabel is shown on the screen, written out."]]},{"start":135.53206249999997,"say":"Itulah lima kelompok bilangan yang perlu kamu kenal. Sampai jumpa!","live":null,"does":[[136.36756249999996,"tabel (the \"column=1\" part) is indicated — a transient flash."],[140.99224999999996,"heading is hidden from the screen — left the board."],[140.99224999999996,"tabel is hidden from the screen — left the board."]]}]}]},"durationSeconds":142,"chapters":[{"title":"Bilangan Asli, Cacah, dan Bulat","startSeconds":0,"narration":"Halo! Hari ini kita berkenalan dengan lima kelompok bilangan. Semuanya bisa kita letakkan pada satu garis bilangan seperti ini. Saat mulai berhitung, kita memakai satu, dua, tiga, empat, lima, dan seterusnya. Kelompok ini disebut bilangan asli. Perhatikan, nol belum ikut. Kalau nol kita masukkan juga, kelompoknya menjadi bilangan cacah. Sekarang lihat ke sebelah kiri nol. Ada minus satu, minus dua, minus tiga. Semuanya bersama nol dan bilangan positif disebut bilangan bulat. Jadi kelompoknya tidak berganti, hanya bertambah anggota: dari asli, ke cacah, lalu ke bulat."},{"title":"Bilangan Prima","startSeconds":44.129208333333324,"narration":"Sekarang kelompok keempat. Coba kita periksa angka enam. Enam bisa dibagi satu, dua, tiga, dan enam, jadi ada empat pembagi. Sekarang angka tujuh. Tujuh hanya bisa dibagi satu dan dirinya sendiri. Pembaginya tepat dua. Bilangan yang pembaginya tepat dua, yaitu satu dan dirinya sendiri, kita sebut bilangan prima. Ayo kita cari. Dua prima. Tiga prima. Empat tidak, karena bisa dibagi dua juga. Lima prima, tujuh prima, sebelas prima. Semua yang berwarna kuning adalah bilangan prima. Angka satu bukan prima, sebab pembaginya hanya satu."},{"title":"Pecahan dan Desimal","startSeconds":86.16862499999998,"narration":"Kelompok terakhir: pecahan dan desimal. Ini satu batang cokelat yang dipotong menjadi empat bagian sama besar. Kalau kita ambil dua potong, itu dua per empat, atau setengah. Ditulis sebagai desimal, nol koma lima. Ambil satu potong lagi, jadi tiga per empat, atau nol koma tujuh lima. Pecahan dan desimal itu dua cara menulis jumlah yang sama."},{"title":"Ringkasan Lima Kelompok","startSeconds":114.70356249999998,"narration":"Mari kita ulangi kelimanya. Bilangan asli, yaitu satu, dua, tiga, dan seterusnya. Bilangan cacah menambahkan nol. Bilangan bulat menambahkan bilangan negatif. Bilangan prima punya tepat dua pembagi. Lalu pecahan dan desimal untuk jumlah yang tidak utuh. Itulah lima kelompok bilangan yang perlu kamu kenal. Sampai jumpa!"}]}}