angka dan bilangan
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Angka dan Bilangan
Dahulu kala, manusia menggunakan bilangan hanya untuk menghitung sebuah
kuantitas dengan jumlah yang sangat terbatas.
Lambat laun, perhitungan yang dilakukan manusia semakin kompleks. Karena itu
dalam peradaban manusia berkembangkan berbagai sistem numerasi, yang mana
tujuan pokoknya adalah mempermudah manusia menghitung dan mencatat
berbagai kuantitas ini.
Dalam sistem numerasi ini, terdapat angka-angka, bilangan, operasi-operasi dasar
antara berbagai bilangan dan yang mengaitkan satu bilangan dengan bilangan
lainnya, serta adanya aturan-aturan dasar.
Pada dasarnya konsep tentang bilangan ini adalah sebuah konsep yang kompleks.
Pemahaman tentang sistem bilangan melibatkan berbagai ide dan keahlian.
Siswa membutuhkan pengalaman pribadi dan waktu yang cukup untuk dapat benar-
benar memahami konsep bilangan ini.
Secara umum bilangan mempunyai 3 fungsi, yaitu
1. Menyatakan kuantitas
Sering disebut aspek kardinalitas bilangan. Ini adalah sebuah gagasan bahwa
ketika kita menghitung sebuah kelompok, bilangan terakhir yang disebutkan
menyatakan banyaknya objek dalam kelompok ini.
2. Menyatakan urutan
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Sering disebut juga aspek ordinalitas atau urutan. Bilangan digunakan untuk
menjelaskan urusan susunan ssejumlah benda, misalnya urutan pemenang,
antrian, dan sebagainya.
3. Menyatakan nilai/nama sebuah benda
Bilangan digunakan untuk mengidentifikasi benda-benda, misalnya nomor
rumah, nomor jalan, nomor kamar hotel, kode pos, dan sebagainya.
Untuk menuliskan bilangan diperlukan simbol. Dalam sejarah peradaban manusia,
simbol-simbol yang menyatakan jumlah muncul terlebih dahulu dibandingkan nama
bilangan.
Sejarahwan menduga bahwa simbol angka yang paling tua berupa turus-turus.
Berikut ini akan diuraikan berbagai sistem bilangan yang ada dalam berbagai
kebudayaan.
Sistem Bilangan Mesir
Sekitar tahun 3400 sebelum Masehi, bangsa Mesir telah mempunyai sistem
numerasi yang cukup canggih. Namun sistem bilangan mereka hanya terbatas
sampai sekitar 1 juta. Beberapa simbol bilangan mereka ditunjukkan pada gambar
berikut.
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Sistem bilangan Mesir ini menganut sistem penjumlahan. Sejumlah bilangan dipilih
sebagai basis dan simbol melambangkan 1, b, b2, b3, dan seterusnya digunakan
untuk menuliskan pangkat dari basis-basis ini. Bilangan ditulis dengan menggunakan
pangkat-pangkat basis ini berulang kali sejumlah yang dibutuhkan.
Sistem bilangan Mesir menggunakan basis 10. Jadi yang menjadi basis adalah 1, 10,
100, 1000 dan seterusnya. Bilangan ditulis sedemikian hingga pangkat yang paling
kecil terletak di paling kiri dan semakin meningkat.
Contoh:
a. 1235, dilambangkan dengan
b. 13014, dilambangkan dengan
Sistem Bilangan Romawi
Sistem ini juga menggunakan basis 10. Namun mereka juga menggunakan simbol-
simbol untuk bilangan yang bukan pangkat dari 10, misalnya 5, 50, dan 500.
I V X L C D M
1 5 10 50 100 500 1000
Sistem bilangan Romawi juga menganut sistem pengurangan. Hal tersebut dapat
dilihat dalam contoh berikut.
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IX XL XC CD CM 1999 2009
9 40 90 400 900 MCMXCIX MMIX
Sistem Bilangan BabiloniaBangsa Babilonia menggunakan sistem bilangan basis 60. Simbol-simbol dasar
mereka untuk bilangan 1 sampai dengan 59 dibentuk dengan berulang kali dengan
menambahkan untuk 1 dan untuk 10.
Contoh:
a. 5 dilambangkan dengan
b. 24 dilambangkan dengan
c. 50 dilambangkan dengan
Bangsa Babilonia telah mengenal konsep nilai tempat. Nilai tempat adalah nilai
pangkat dari basis. Nilai tempat sistem bilangan bangsa babilonia adalah 1, 60, 602,
603, dan seterusnya.
Simbol-simbol dasar mereka mempunyai nilai yang berbeda, tergantung pada posisi
mereka.
Contoh:
a. =45
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b. =
3× (602 )+0× (60 )+45=10845
Sistem ini memiliki kelemahan, yaitu tidak mempunyai angka nol sebagai pengisi
tempat.
Sistem Bilangan Maya
Sistem ini menggunakan basis 20. Keunggulan sistem ini adalah mulai dikenalnya
nol. Simbol dasar mereka untuk bilangan 1 sampai 19 adalah sebagai berikut.
Untuk menuliskan bilangan yang lebih besar dari 19, bangsa Maya menggunakan
simbol dasar dan nilai tempat. Mereka menuliskan bilangan secara vertikal, yang
mana pangkat dari basis meningkat dari bawah ke atas.
Angka paling bawah melambangkan banyaknya satuan. Angka pada posisi kedua
melambangkan banyaknya dua puluh. Karena kalender bangsa Maya memiliki 18
bulan, yang mana masing-masing bulan terdiri dari 20 hari, maka nilai tempat untuk
posisi ketiga adalah 18×20, bukannya 202. Posisi berikutnya adalah 18×202,
18×203dan seterusnya.
Contoh:
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a. =80 b. = (5×20¿+7=107
c.¿ (7×18×20 )+(13×20 )+2
Seperti yang Anda lihat dalam berbagai contoh sistem bilangan di atas, kombinasi
angka-angkanya menghasilkan bilangan yang lebih besar. Angka-angka ini
dikombinasikan dengan beberapa aturan tertentu.
Sistem Bilangan Hindu Arab
Sistem bilangan yang kita gunakan disebut sistem Hindu Arab. Karateristik dalam
sistem ini adalah
1. Basis 10
2. Ada nilai tempat
3. Menggunakan prinsip perkalian
Contoh: 243, artinya ada 2 kali (dua kelompok) ratusan, 4 kali (empat
kelompok) puluhan dan 3 kali (tiga kelompok) satuan.
4. Menggunakan prinsip penjumlahan
Nilai suatu bilangan adalah jumlah dari hasil kali setiap angka dan nilai
tempatnya.
5. Adanya nol sebagai pengisi tempat
Simpulan
Beda angka dan bilangan :
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Rekreasi Matematika
Bilangan apa saja yang Anda lihat pada gambar berikut?
Gagasan tentang bilangan
Berikut adalah hal-hal penting tentang bilangan yang harus dipahami siswa SD kelas
1 dan 2:
• Menunjukkan jumlah (as many as)
• Satu dan lebih satu (one and one more)
• Lebih banyak atau lebih sedikit
• Lebih dari dan kurang dari
• Sama dengan
• Mengurutkan bilangan
Diskusi
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Coba urutkan gagasan-gagasan di atas sesuai dengan saat Anda mengajarkan kepada
siswa!
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Pengajaran tentang bilangan di tingkat SD tidak hanya mengarahkan siswa untuk
bisa berhitung, namun yang lebih penting agar anak-anak dapat
menumbuhkembangkan ‘rasa bilangan’ (number sense) dalam batin mereka. Rasa
bilangan adalah intuisi yang baik tentang bilangan dan hubungan antara bilangan.
Berbagai kegiatan dalam modul ini ditujukan agar guru dapat mengarahkan
siswanya untuk dapat menumbuhkembangkan rasa bilangan ini.
Diskusi
Apakah yang dimaksud berhitung dan apa saja fungsi dari berhitung ini?
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Makna tentang berhitung tidak dapat ditransfer begitu saja dari guru ke siswa. Anak
harus mengkonstruksi ide sendiri di benak mereka. Guru hanya membantu
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mengarahkan dengan berbagai aktivitas agar mereka kelak dapat memahami makna
sebenarnya dari berhitung ini. Ide tentang berhitung adalah gagasan paling
mendasar tentang bilangan yang menjadi basis dari konsep-konsep bilangan
lainnnya.
Berhitung memerlukan dua keahlian, yaitu:
a. Anak perlu mengetahui nama-nama bilangan dan menyebutkan secara
berurutan.
b. Anak perlu memahami korespondensi satu-satu antara bilangan dengan
objek yang dihitung.
Beberapa teknik berhitung:
a. Menghitung keseluruhan
b. Melanjutkan
PENJUMLAHANHasil jumlah 1 – 5
Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Soal :
1. 1 + 2 = ... 2. 1 + 0 = ... 3. 2 + 0 = ... 4. 3 + 0 = ... 5. 4 + 0 = ... 6. 5 + 0 = ... 7. 2 + 3 = ... 8. 3 + 1 = ... 9. 4 + 1 = ... 10. 3 + 2 = ... 11. 5 + 0 = ... 12. 4 + 1 = ... 13. 1 + 4 = ... 14. 3 + 2 = ... 15. 2 + 3 = ... 16. 0 + 5 = ... 17. 3 + 1 = ... 18. 2 + 1 = ... 19. 1 + 1 = ... 20. 2 + 2 = ... 21. 3 + 2 = ... 22. 1 + 3 = ... 23. 2 + 3 = ... 24. 0 + 5 = ... 25. 1 + 4 = ... 26. 2 + 3 = ... 27. 1 + 1 = ... 28. 4 + 1 = ... 29. 1 + 2 = ... 30. 3 + 2 = ... 31. 5 + 0 = ... 32. 4 + 1 = ... 33. 3 + 2 = ... 34. 2 + 3 = ...
35. 0 + 5 = ... 36. 3 + 1 = ... 37. 0 + 1 = ... 38. 2 + 1 = ... 39. 1 + 1 = ... 40. 1 + 4 = ... 41. 0 + 0 = ... 42. 0 + 3 = ... 43. 2 + 2 = ... 44. 3 + 1 = ... 45. 3 + 2 = ... 46. 1 + 3 = ... 47. 2 + 3 = ... 48. 0 + 5 = ... 49. 5 + 0 = ... 50. 3 + 1 = ...51. 1 + ... = 5 52. 2 + ... = 5 53. 3 + ... = 5 54. 4 + ... = 5 55. 3 + ... = 5 56. 5 + ... = 5 57. 4 + ... = 5 58. 1 + ... = 5 59. 3 + ... = 5 60. 2 + ... = 5 61. 0 + ... = 5 62. 3 + ... = 5 63. 2 + ... = 5 64. 1 + ... = 5 65. 2 + ... = 5 66. 3 + ... = 5 67. 1 + ... = 5 68. 2 + ... = 5
69. 0 + ... = 5 70. 1 + ... = 5 71. 2 + ... = 5 72. 2 + ... = 5 73. 3 + ... = 5 74. 3 + ... = 5 75. 1 + ... = 5 76. 4 + ... = 5 77. 3 + ... = 5 78. 5 + ... = 5 79. 4 + ... = 5 80. 3 + ... = 5 81. 2 + ... = 5 82. 0 + ... = 5 83. 3 + ... = 5 84. 2 + ... = 5 85. 1 + ... = 5 86. 1 + ... = 5 87. 2 + ... = 5 88. 3 + ... = 5 89. 3 + ... = 5 90. 1 + ... = 5 91. 2 + ... = 5 92. 0 + ... = 5 93. 5 + ... = 5 94. 3 + ... = 5 95. 0 + ... = 596. 2 + ... = 597. 3 + ... = 598. 5 + ... = 599. 4 + ... = 5100. 3 + ... = 5
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Hasil jumlah 1 sampai 9 Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Soal :
1. 2+ 4 = ... 2. 2 + 6 = ... 3. 3 + 3 = ... 4. 4 + 4 = ... 5. 5 + 2 = ... 6. 5 + 1 = ... 7. 6 + 2 = ... 8. 1 + 4 = ... 9. 5 + 2 = ... 10. 6 + 3 = ... 11. 5 + 4 = ... 12. 8 + 1 = ... 13. 9 + 0 = ... 14. 3 + 2 = ... 15. 2 + 6 = ... 16. 3 + 5 = ... 17. 4 + 3 = ... 18. 4 + 2 = ... 19. 4 + 5 = ...
20. 1 + 6 = ... 21. 6 + 3 = ... 22. 7 + 1 = ... 23. 7 + 2 = ... 24. 9 + 0 = ... 25. 8 + 1 = ... 26. 3 + 1 = ... 27. 8 + 0 = ... 28. 7 + 2 = ... 29. 6 + 1 = ... 30. 5 + 4 = ... 31. 2 + 1 = ... 32. 1 + 6 = ... 33. 8 + 2 = ... 34. 5 + 1 = ... 35. 8 + 1 = ... 36. 3 + 6 = ... 37. 1 + 6 = ... 38. 0 + 7 = ...
39. 5 + 3 = ...40. 3 + 1 = ... 41. 2+ 4 = ... 42. 3 + 6 = ... 43. 4 + 3 = ... 44. 5 + 4 = ... 45. 6 + 2 = ... 46. 8 + 1 = ... 47. 7 + 2 = ... 48. 1 + 4 = ... 49. 2 + 2 = ... 50. 3 + 3 = ... 51. 1 + ... = 952. 2 + ... = 953. 3 + ... = 954. 4 + ... = 955. 3 + ... = 956. 5 + ... = 957. 4 + ... = 9
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58. 1 + ... = 959. 3 + ... = 960. 2 + ... = 961. 0 + ... = 962. 3 + ... = 963. 2 + ... = 964. 1 + ... = 965. 2 + ... = 966. 3 + ... = 967. 1 + ... = 968. 2 + ... = 969. 0 + ... = 970. 1 + ... = 971. 2 + ... = 972. 4 + ... = 9
73. 3 + ... = 974. 5 + ... = 975. 4 + ... = 976. 3 + ... = 977. 2 + ... = 978. 0 + ... = 979. 3 + ... = 980. 2 + ... = 981. 1 + ... = 982. 1 + ... = 983. 2 + ... = 984. 3 + ... = 985. 3 + ... = 986. 1 + ... = 987. 2 + ... = 9
88. 0 + ... = 989. 5 + ... = 990. 3 + ... = 991. 0 + ... = 992. 2 + ... = 993. 3 + ... = 994. 5 + ... = 995. 4 + ... = 996. 3 + ... = 997. 2 + ... = 998. 0 + ... = 999. 3 + ... = 9100. 2 + ... = 9
Pasangan 10 Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Ingat :
SS-DD-TT-EE-LL
Bagaimana mengingatnya?
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Soal :
1. 1 + …… = 102. 2 + …… = 103. 3 + …… = 104. 4 + …… = 105. 5 + …… = 106. 6 + …… = 107. 7 + …… = 108. 8 + …… = 109. 9 + …… = 1010. 0 + …… = 1011. …. + 3 = 1012. ….. + 2 = 10 13. ….. + 5 = 1014. ….. + 4 = 1015. ….. + 6 = 1016. ….. + 7 = 1017. ….. + 8 = 1018. ….. + 1 = 1019. ….. + 9 = 1020. ….. + 0 = 10
21. 3 + …… = 1022. 6 + …… = 1023. 4 + …… = 1024. 7 + …… = 1025. 9 + …… = 1026. 2 + …… = 1027. ….. + 6 = 1028. ….. + 5 = 1029. 8 + …… = 1030. 3 + …… = 1031. …. + 4 = 1032. ….. + 1 = 10 33. ….. + 7 = 1034. ….. + 8 = 1035. ….. + 2 = 1036. 4 + …… = 1037. 9 + …… = 1038. ….. + 8 = 1039. 8 + …… = 1040. 9 + …… = 10
41. ….. + 9 = 1042. ….. + 3 = 1043. 0 + …… = 1044. 7 + …… = 1045. 1 + …… = 1046. ….. + 9 = 1047. ….. + 3 = 1048. ….. + 0 = 1049. 5 + …… = 1050. 9 + …… = 1051. 0 + …… = 1052. …. + 3 = 1053. ….. + 2 = 10 54. ….. + 5 = 1055. 3 + …… = 1056. …. + 4 = 1057. ….. + 5 = 10 58. ….. + 6 = 1059. 1 + …… = 1060. 2 + …… = 10
Penjumlahan 10 dengan satuan
Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Soal :
1. 1 + 10 = …..2. 2 + 10 = …..3. 3 + 10 = …..4. 4 + 10 = …..5. 5 + 10 = …..6. 6 + 10 = …..7. 7 + 10 = …..8. 8 + 10 = …..9. 9 + 10 = …..10. 7 + 10 = …..11. 3 + 10 = …..12. 6 + 10 = …..13. 7 + 10 = …..14. 8 + 10 = …..15. 2 + 10 = …..16. 9 + 10 = …..17. 1 + 10 = …..18. 6 + 10 = …..19. 5 + 10 = …..20. 4 + 10 = …..
21. 2 + 10 = …..22. 7 + 10 = …..23. 8 + 10 = …..24. 9 + 10 = …..25. 2 + 10 = …..26. 5 + 10 = …..27. 8 + 10 = …..28. 9 + 10 = …..29. 10 + 1 =…..30. 10 + 2 = …..31. 10 + 3 = …..32. 10 + 4 = …..33. 10 + 5 = …..34. 10 + 6 = …..35. 10 + 7 = …..36. 10 + 8 = …..37. 10 + 8 = …..38. 10 + 5 = …..39. 1 + 10 = …..40. 10 + 8 = …..
41. 10 + 7 = …..42. 2 + 10 = …..43. 10 + 9 = …..44. 3 + 10 = …..45. 4 + 10 = …..46. 10 + 8 = …..47. 10 + 2 = …..48. 5 + 10 = …..49. 10 + 8 = …..50. 10 + 3 = …..51. 6 + 10 = …..52. 10 + 9 = …..53. 10 + 4 = …..54. 7 + 10 = …..55. 10 + 5 = …..56. 8 + 10 = …..57. 9 + 10 = …..58. 10 + 4 = …..59. 10 + 5 = …..60. 8 + 10 = …..
Hasil penjumlahan antara 10 – 20 Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Soal :1. 9 + 2 = ….2. 9 + 3 = ….3. 9 + 4 = ….4. 9 + 5 = ….5. 9 + 6 = ….6. 9 + 7 = ….7. 9 + 8 = ….8. 9 + 9 = ….9. 5 + 9 = ….10. 6 + 9 = ….11. 9 + 2 = ….12. 9 + 3 = ….13. 2 + 9 = ….14. 3 + 9 = ….15. 4 + 9 = ….16. 5 + 9 = ….17. 6 + 9 = ….18. 7 + 9 = ….19. 8 + 9 = ….20. 9 + 3 = ….
21. 9 + 4 = ….22. 5 + 9 = ….23. 7 + 9 = ….24. 9 + 9 = ….25. 9 + 6 = ….26. 9 + 9 = ….27. 2 + 9 = ….28. 9 + 8 = ….29. 2 + 9 = ….30. 3 + 9 = ….31. 9 + 4 = ….32. 9 + 5 = ….33. 9 + 6 = ….34. 9 + 8 = ….35. 2 + 9 = ….36. 9 + 9 = ….37. 4 + 9 = ….38. 9 + 4 = ….39. 7 + 9 = ….40. 4 + 9 = ….
41. 9 + 6 = ….42. 9 + 7 = ….43. 7 + 9 = ….44. 8 + 9 = ….45. 9 + 8 = ….46. 9 + 9 = ….47. 9 + 9 = ….48. 9 + 2 = ….49. 6 + 9 = ….50. 9 + 9 = ….51. 3 + 9 = ….52. 9 + 6 = ….53. 9 + 7 = ….54. 9 + 4 = ….55. 9 + 9 = ….56. 3 + 9 = ….57. 9 + 5 = ….58. 4 + 9 = ….59. 9 + 9 = ….60. 7 + 9 = ….
+ 1 2 3 4 5 6 7 8 9123456789
+ 7 3 5 4 9 6 1 8 2627
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498315
+ 4 2 6 7 5 9 1 3 8531286479
Penjumlahan dua digit dengan 1 digit (hasil penjumlahan satuannya kurang dari 10)
Alat peraga : _________________________________________________________
Bagaimana cara mengajarnya?
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Soal :
1. 32+ 4 = ...2. 42 + 6 = ...
3. 63 + 3 = ...4. 4 + 44 = ...
5. 5 + 42 = ...6. 5 + 51 = ...
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7. 6 + 72 = ...8. 1 + 44 = ...9. 45 + 2 = ...10. 46 + 3 = ...11. 45 + 4 = ...12. 8 + 51 = ...13. 9 + 50 = ...14. 3 + 62 = ...15. 2 + 56 = ...16. 3 +45 = ...17. 4 + 53 = ...18. 4 + 62 = ...19. 4 + 65 = ...20. 1 + 76 = ...21. 6 + 43 = ...22. 57 + 1 = ...23. 67 + 2 = ...24. 49 + 0 = ...
25. 68 + 1 = ...26. 73 + 1 = ...27. 8 + 10 = ...28. 7 + 32 = ...29. 6 + 41 = ...30. 5 + 54 = ...31. 2 + 61 = ...32. 1 + 76 = ...33. 8 + 81 = ...34. 5 + 31 = ...35. 8 + 21 = ...36. 23 + 6 = ...37. 31 + 6 = ...38. 40 + 7 = ...39. 65 + 3 =40. 63 + 1 = ... 41. 42+ 4 = ...42. 33 + 6 = ...
43. 64 + 3 = ...44. 55 + 4 = ...45. 36 + 2 = ...46. 68 + 1 = ...47. 7 + 32 = ...48. 1 + 44 = ...49. 2 + 52 = ...50. 3 + 43 = ...51. 1 + 55 = ...52. 6 + 51 = ...53. 8 + 61 = ...54. 2 + 72 = ...55. 1 + 76 = ...56. 3 + 41 = ...57. 4 + 43 = ...58. 3 + 42 = ...59. 2 + 55 = ...60. 1 + 71 = ...
Penjumlahan dua digit dengan 1 digit (hasil penjumlahan satuannya lebih dari 10)
Bagaimana cara mengajarnya?
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Soal :
1. 47 + 4 = ... 2. 59 + 6 = ... 3. 88 + 3 = ...
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4. 59 + 4 = ... 5. 39 + 2 = ... 6. 47 + 7 = ... 7. 67 + 6 = ... 8. 72 + 9 = ... 9. 56 + 6 = ... 10. 47 + 8 = ... 11. 63 + 9 = ... 12. 9 + 44 = ... 13. 7 + 69 = ... 14. 4 + 78 = ... 15. 5 + 86 = ... 16. 9 + 75 = ... 17. 8 + 84 = ... 18. 6 + 48 = ... 19. 5 + 38 = ... 20. 7 + 47 = ... 21. 7 + 57 = ... 22. 8 + 68 = ...
23. 4 + 27 = ... 24. 7 + 39 = ... 25. 7 + 46 = ... 26. 5 + 66 = ... 27. 4 + 78 = ... 28. 3 + 38 = ... 29. 7 + 25 = ... 30. 4 + 18 = ... 31. 3 + 69 = ... 32. 7 + 76 = ... 33. 7 + 85 = ... 34. 3 + 48 = ... 35. 7 + 37 = ... 36. 7 + 26 = ... 37. 6 + 56 = ... 38. 6 + 67 = ... 39. 6 + 36 = ...40. 7 + 76 = ... 41. 8+ 39 = ...
42. 7 + 56 = ... 43. 6 +36 = ... 44. 6 + 47 = ... 45. 7 + 88 = ... 46. 9 + 25 = ... 47. 8 + 68 = ... 48. 2 + 29 = ... 49. 3 + 39 = ... 50. 4 + 47 = ... 51. 7 + 55 = ... 52. 7 + 84 = ... 53. 3 + 68 = ... 54. 8 + 28 = ... 55. 9 + 36 = ... 56. 8 + 47 = ... 57. 5 + 38 = ... 58. 4 + 78 = ... 59. 3 + 38 = ... 60. 6 + 57 = ...
Penjumlahan dua digit dengan 2 digit dengan menyimpan.
Bagaimana cara mengajarnya?
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Soal :
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1. 27 +3 5 = ... 2. 55 + 17 = ... 3. 38 + 28 = ... 4. 39 +35 = ... 5. 39 + 30 = ... 6. 47 + 41 = ... 7. 57 + 27 = ... 8. 42 + 48 = ... 9. 46 + 37 = ... 10. 37 + 41 = ... 11. 23 + 52 = ... 12. 19 + 50 = ... 13. 11 + 56 = ... 14. 24 + 69 = ... 15. 15 + 77 = ... 16. 15 + 56 = ... 17. 55 + 35 = ... 18. 56 + 29 = ... 19. 65 + 29 = ... 20. 26 + 28 = ...
21. 47 + 38 = ... 22. 80 + 19 = ... 23. 41 + 27 = ... 24. 72 + 18 = ... 25. 17 + 76 = ... 26. 15 + 74 = ... 27. 24 + 49 = ... 28. 23 + 49 = ... 29. 17 + 66 = ... 30. 14 + 49 = ... 31. 43 + 24 = ... 32. 47 + 12 = ... 33. 57 + 26 = ... 34. 63 + 19 = ... 35. 27 + 28 = ... 36. 37 + 17 = ... 37. 26 + 17 = ... 38. 46 + 18 = ... 39. 36 + 27 = ...40. 45 + 37 = ...
41. 32+ 45 = ... 42. 71 + 17 = ... 43. 36 + 37 = ... 44. 36 + 28 = ... 45. 27 + 29 = ... 46. 19 + 56 = ... 47. 28 + 69 = ... 48. 12 + 71 = ... 49. 13 + 56 = ... 50. 24 + 48 = ... 51. 37 + 46 = ... 52. 27 + 65 = ... 53. 23 + 39 = ... 54. 28 + 29 = ... 55. 29 + 47 = ... 56. 28 + 28 = ... 57. 35 + 19 = ... 58. 34 + 49 = ... 59. 43 + 39 = ... 60. 32 + 28 = ...
Penjumlahan bilangan banyak digit
Bagaimana cara mengajarnya?
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Soal :
38272....
+¿
55770....
+¿
15991....
+¿
54872....
+¿
70535....
+¿
95723....
+¿
413289....
+¿
387282....
+¿
499323....
+¿
490419....
+¿
669280....
+¿
438229....
+¿
35783222
....+¿
25453355
....+¿
23782222
....+¿
2232268....
+¿
1839111....
+¿
13881122
....+¿
5444382....
+¿
665782....
+¿
65993....
+¿
33336666
....+¿
44455555
....+¿
22284882
....+¿
Penjumlahan banyak bilangan satu digit (pakai sistem coret)
Bagaimana cara mengajarnya?
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Soal :
986387897....
+¿
769687799....
+¿
879424384....
+¿
696297698
....+¿
988813987....
+¿
778283826....
+¿
Copyright by Page 22
418759348877485579....
+¿
556698648337375496....
+¿
187263445296394849....
+¿
494362228976665538....
+¿
368578481338498863....
+¿
331337284835269223....
+¿
461877598349688877948955759....
+¿
565667987664583637937554969....
+¿
168727663446528596398488449....
+¿
469437962252889576656558387....
+¿
346855678489133538459886463....
+¿
133113371281428353426932233....
+¿
245934455454345384387667385432699745
....+¿
786786663356669935542374216798869532
....+¿
768376765576445426344454698985474532
....+¿
521694325456286556537889236989452564
....+¿
656325543468843751653547998613637732
....+¿
811545112368253486321153863471234912
....+¿
PERKALIANArti perkalian
Copyright by Page 23
Alat peraga :
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Bagaimana cara mengajarnya?
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Soal :1. Berapa roda dari 8 sepeda? Jawab: 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 8 x 2 = …2. Berapa roda dari 9 becak?3. Berapa roda dari 5 sepeda?4. Berapa roda dari 4 sepeda?5. Berapa roda dari 12 becak?6. Berapa roda dari 7 sepeda?7. Berapa roda dari 12 becak?8. Berapa roda dari 11 sepeda?9. Berapa roda dari 5 mobil?10. Berapa roda dari 3 delman?11. Berapa roda dari 6 becak?12. Berapa roda dari 8 sepeda?13. Berapa roda dari 9 delman?
Copyright by Page 24
14. Berapa kaki dari 8 kuda?15. Berapa kaki dari 7 kambing?16. Berapa kaki dari 15 sapi?17. Berapa kaki dari 7 ayam?18. Berapa kaki dari 13 bebek?19. Berapa kaki dari 11 burung?20. Berapa kaki dari 3 kucing?21. Berapa kaki dari 2 lalat?22. Berapa kaki dari 8 laba-laba?23. Berapa kaki dari 11 laba-laba?24. Berapa kaki dari 7 capung?25. Berapa kaki dari 5 kepiting?26. Berapa kaki dari 4 harimau?27. Berapa kaki dari 5 singa?28. Berapa sayap dari 2 kupu kupu?29. Berapa sayap dari 8 capung?30. Berapa kaki dari 10 buaya ?31. 2 x 3 = 3 + 3 32. 3 x 3 = …….....33. 8 x 2 = …….....34. 4 x 2 = …….....35. 2 x 3 = …….....36. 4 x 5 = …….....37. 9 x 2 = …….....38. 2 x 9 = …….....39. 4 x3 = …….....40. 3 x 4 = …….....41. 10 x 10 = …….....42. 4 x 1 = …….....43. 10 x 2 = …….....44. 2 x 10 = …….....45. 6 x 2 = …….....46. 2 x 6 = …….....47. 9 x 2 = …….....48. 4 x 4 = …….....49. 2 x 6 = …….....
Copyright by Page 25
50. 10 x 1 = …….....51. 1 x 10 = …….....52. 4 x 6 = …….....53. 2 x 2 = …….....54. 3 x 3 = …….....55. 4 x 4 = …….....56. 5 x 5 = …….....57. 6 x 6 = …….....58. 7 x 7 = …….....59. 8 x 8 = …….....60. 9 x 9 = …….....
Perkalian 1 (arti perkalian 1)
Alat peraga :
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Soal :
Copyright by Page 26
1. 1 X 1 = …2. 9 X 1 = …3. 6 X 1 = …4. 4 X 1 = …5. 5 X 1 = …6. 7 X 1 = …7. 3 X 1 = …8. 2 X 1 = …9. 8 X 1 = …10. 10 X 1 = …
11. 11 X 1 = …12. 13 X 1 = …13. 15 X 1 = …14. 12 X 1 = …15. 14 X 1 = …16. 1 X 1 = …17. 1 X 7 = …18. 1 X 9 = …19. 1 X 3 = …20. 1 X 4 = …
21. 1 X 5 = …22. 1 X 8 = …23. 1 X 12 = …24. 1 X 11 = …25. 1 X 15 = …26. 1 X 13 = …27. 1 X 2 = …28. 1 X 14 = …29. 1 X 6 = …30. 1 X 10 = …
Perkalian 10
Alat peraga :
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Bagaimana cara mengajarnya?
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Copyright by Page 27
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Soal :
1. 1 X 10 = …2. 9 X 10 = …3. 6 X 10 = …4. 4 X 10 = …5. 5 X 10 = …6. 7 X 10 = …7. 3 X 10 = …8. 2 X 10 = …9. 8 X 10 = …10. 10 X 10 = …11. 11 X 10 = …12. 13 X 10 = …
13. 15 X 10 = …14. 12 X 10 = …15. 14 X 10 = …16. 1 X 10 = …17. 10 X 7 = …18. 10 X 9 = …19. 10 X 3 = …20. 10 X 4 = …21. 10 X 5 = …22. 10 X 8 = …23. 10 X 12 = …24. 10 X 11 = …
25. 10 X 15 = …26. 10 X 13 = …27. 10 X 2 = …28. 10 X 14 = …29. 10 X 6 = …30. 10 X 10 = …31. .. X 10= 1032. .. X 10 = 8033. … X 10= 6034. .. X 10 = 4035. … X 10= 7036. .. X 10 = 90
Copyright by Page 28
37. … X 10= 10038. .. X 10 = 3039. … X 10= 10040. .. X 10 = 80041. … X 10= 90042. .. X 10 = 12043. … X 10= 17044. .. X 10 = 280
45. … X 10= 31046. .. X 10 = 42047. … X 10= 53048. .. X 10 = 68049. … X 10= 77050. .. X 10 = 86051. … X 10= 11052. .. X 10 = 200
53. … X 10= 47054. .. X 10 = 40055. … X 10= 30056. .. X 10 = 20057. … X 10= 10058. .. X 10 = 21059. … X 10= 31060. .. X 10 = 970
Perkalian 2
Alat peraga :
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Copyright by Page 29
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Soal :
2 3 4 5 6 7 8 9
2
X 5 9 2 4 8 7 6 32
X 2 7 6 5 4 8 3 92
X 4 3 2 9 8 7 5 62
X 9 7 4 5 6 3 8 22
X 8 9 2 4 5 7 6 32
X 9 2 3 8 6 5 4 72
X 4 3 2 9 8 7 5 62
Perkalian 9
Alat peraga :
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Bagaimana cara mengajarnya?
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Soal :
1. 1 x 9 = ...2. 2 x 9 = ...3. 3 x 9 = ...4. 4 x 9 = ...5. 5 x 9 = ...6. 6 x 9 = ...7. 7 x 9 = ...8. 8 x 9 = ...
9. 9 x 9 = ...10. 10 x 9 =...11. 9 x 1 = ...12. 9 x 2 = ...13. 9 x 3 = ...14. 9 x 4 = ...15. 9 x 5 = ...16. 9 x 6 = ...
17. 9 x 7 = ...18. 9 x 8 = ...19. 9 x 9 = ...20. 9 x 10 = ...21. 2 x 9 = ...22. 10 x 9 = ...23. 9 x 8 = ...24. 4 x 9 = ...
Copyright by Page 31
25. 9 x 10 = ...26. 5 x 9 = ...27. 9 x 1 = ...28. 8 x 9 = ...29. 9 x 5 = ...30. 1 x 9 = ...31. 9 x 3 = ...32. 9 x 4 = ...33. 6 x 9 = ...34. 9 x 9 = ...35. 9 x 6 = ...36. 7 x 9 = ...
37. 3 x 9 = ...38. 9 x 9 = ...39. 9 x 2 = ...40. 9 x 7 = ...41. 2 x 9 = ...42. 10 x 9 = ...43. 9 x 8 = ...44. 4 x 9 = ...45. 9 x 10 = ...46. 5 x 9 = ...47. 9 x 1 = ...48. 8 x 9 = ...
49. 9 x 5 = ...50. 1 x 9 = ...51. 9 x 3 = ...52. 9 x 4 = ...53. 6 x 9 = ...54. 9 x 9 = ...55. 9 x 6 = ...56. 7 x 9 = ...57. 3 x 9 = ...58. 9 x 9 = ...59. 9 x 2 = ...60. 9 x 7 = ...
Perkalian 5
Alat peraga :
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Copyright by Page 32
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Soal :Tahap 1
X 2 3 4 5 95
X 5 9 2 4 35
X 2 5 4 3 95
X 4 3 2 9 55
X 9 4 5 3 25
X 9 2 4 5 35
X 9 2 3 5 45
Tahap 21. 6 x 5 =... 2. 5 x 6 =...
Copyright by Page 33
3. 7 x 5 = ...4. 5 x 7 = ...5. 5 x 6 = ...6. 5 x 7 =... 7. 7 x 5 = ...8. 6 x 5 = ...9. 6 x 5 = ...10. 5 x 7 = ...11. 7 x 5 =...12. 6 x 5 = ...13. 5 x 6 = ...14. 7 x 5 = ...15. 5 x 7 = ...16. 5 x 6 = ...17. 5 x 7 = ...18. 7 x 5 = ...19. 6 x 5 = ...20. 6 x 5 = ...21. 5 x 7 = ...
22. 7 x 5 =...23. 6 x 5 = ...24. 5 x 6 = ...25. 6 x 5 = ...26. 6 x 5 = ...27. 5 x 7 = ...28. 7 x 5 = ...29. 5 x 7 = ...30. 5 x 6 = ...31. 5 x 7 = ...32. 7 x 5 = ...33. 7 x 5 =...34. 5 x 6 = ...35. 7 x 5 = ...36. 5 x 7 = ...37. 5 x 6 = ...38. 5 x 7 = ...39. 7 x 5 = ...40. 6 x 5 = ...
41. 6 x 5 = ...42. 5 x 7 = ...43. 7 x 5 =...44. 6 x 5 = ...45. 5 x 6 = ...46. 6 x 5 = ...47. 6 x 5 = ...48. 5 x 7 = ...49. 7 x 5 = ...50. 5 x 7 = ...51. 5 x 6 = ...52. 5 x 7 = ...53. 7 x 5 = ...54. 7 x 5 =...55. 5 x 6 = ...56. 7 x 5 = ...57. 5 x 7 = ...58. 5 x 6 = ...59. 5 x 7 = ...
Copyright by Page 34
60. 7 x 5 = ...61. 6 x 5 = ...62. 6 x 5 = ...63. 5 x 7 = ...64. 7 x 5 =...65. 6 x 5 = ...66. 5 x 6 = ...67. 6 x 5 = ...68. 6 x 5 = ...69. 5 x 7 = ...70. 7 x 5 = ...71. 5 x 7 = ...72. 5 x 6 = ...73. 5 x 7 = ...74. 7 x 5 = ...75. 7 x 5 =...76. 5 x 6 = ...77. 7 x 5 = ...78. 5 x 7 = ...
79. 5 x 6 = ...80. 5 x 7 = ...81. 7 x 5 = ...82. 6 x 5 = ...83. 6 x 5 = ...84. 5 x 7 = ...85. 7 x 5 =...86. 6 x 5 = ...87. 5 x 6 = ...88. 6 x 5 = ...89. 6 x 5 = ...90. 5 x 7 = ...91. 7 x 5 = ...92. 5 x 7 = ...93. 5 x 6 = ...94. 5 x 7 = ...95. 7 x 5 = ...96. 7 x 5 =...97. 5 x 6 = ...
98. 7 x 5 = ...99. 5 x 7 = 100. 5 x 6 = ...101. 5 x 7 = ...102. 7 x 5 = ...103. 6 x 5 = ...104. 8 x 5 = ...105. 6 x 5 = ...106. 5 x 7 = ...107. 5 x 8 = ...108. 7 x 5 =...109. 8 x 5 = ...110. 6 x 5 = ...111. 8 x 5 = ...112. 5 x 6 = ...113. 8 x 5 = ...114. 6 x 5 = ...115. 5 x 8 = ...116. 6 x 5 = ...
Copyright by Page 35
117. 5 x 7 = ...118. 5 x 8 = ...119. 7 x 5 = ...120. 5 x 8 = ...121. 5 x 7 = ...122. 8 x 5 = ...123. 5 x 6 = ...124. 5 x 7 = ...125. 7 x 5 = ...126. 7 x 5 =...127. 7 x 5 = ...128. 6 x 5 = ...129. 8 x 5 = ...130. 6 x 5 = ...131. 5 x 7 = ...132. 5 x 8 = ...133. 7 x 5 =...134. 8 x 5 = ...135. 6 x 5 = ...
136. 8 x 5 = ...137. 5 x 6 = ...138. 8 x 5 = ...139. 6 x 5 = ...140. 5 x 8 = ...141. 6 x 5 = ...142. 5 x 7 = ...143. 5 x 8 = ...144. 7 x 5 = ...145. 5 x 8 = ...146. 5 x 7 = ...147. 8 x 5 = ...148. 5 x 6 = ...149. 5 x 7 = ...150. 7 x 5 = ...151. 7 x 5 = ...152. 6 x 5 = ...153. 8 x 5 = ...
154. 6 x 5 = ...155. 5 x 7 = ...156. 5 x 8 = ...157. 7 x 5 =...158. 8 x 5 = ...159. 6 x 5 = ...160. 8 x 5 = ...161. 5 x 6 = ...162. 8 x 5 = ...163. 6 x 5 = ...164. 5 x 8 = ...165. 6 x 5 = ...166. 5 x 7 = ...167. 5 x 8 = ...168. 7 x 5 = 169. 5 x 8 = 170. 5 x 7 = 171. 8 x 5 = 172. 5 x 6 = ...173. 5 x 7 = ...
Copyright by Page 36
174. 7 x 5 = ...175. 7 x 5 = ...176. 6 x 5 = ...177. 8 x 5 = ...178. 6 x 5 = ...179. 5 x 7 = ...180. 5 x 8 = ...181. 7 x 5 =...182. 8 x 5 =... 183. 6 x 5 = ...184. 8 x 5 = ...185. 5 x 6 = ...186. 8 x 5 = ...187. 6 x 5 = ...188. 5 x 8 = ...189. 6 x 5 = ...190. 5 x 7 = ...191. 5 x 8 = ...192. 7 x 5 = ...
193. 5 x 8 = ...194. 5 x 7 = ...195. 8 x 5 = ...196. 5 x 6 = ...197. 5 x 7 = ...198. 7 x 5 = ...199. 7 x 5 = ...200. 6 x 5 = ...201. 8 x 5 = ...202. 6 x 5 = ...203. 5 x 7 = ...204. 5 x 8 = ...205. 7 x 5 =...206. 8 x 5 = ...207. 6 x 5 = ...208. 8 x 5 = ...209. 5 x 6 = ...210. 8 x 5 = ...
211. 6 x 5 = ...212. 5 x 8 = ...213. 6 x 5 = ...214. 5 x 7 = ...215. 5 x 8 = ...216. 7 x 5 = ...217. 5 x 8 = ...218. 5 x 7 = ...219. 8 x 5 = ...220. 5 x 6 = ...221. 5 x 7 = ...222. 7 x 5 = ...223. 7 x 5 = ...224. 6 x 5 = ...225. 8 x 5 = ...226. 6 x 5 = ...227. 5 x 7 = ...228. 5 x 8 = ...
Copyright by Page 37
229. 7 x 5 =...230. 8 x 5 = ...231. 6 x 5 = ...232. 8 x 5 = ...
233. 5 x 6 = ...234. 8 x 5 = ...235. 6 x 5 = ...236. 5 x 8 = ...
237. 6 x 5 = ...238. 5 x 7 = ...239. 5 x 8 = ...240. 7 x 5 = ...
X 8 6 75
X 6 8 75
X 6 7 85
X 8 7 65
X 7 6 85
X 8 7 65
X 6 8 75
Tahap 3
X 6 7 85
X 8 7 65
X 7 6 85
X 8 7 65
X 7 6 85
X 8 7 65
X 8 6 75
X 2 3 4 5 6 7 8 95
X 5 9 2 4 8 7 6 35
X 2 7 6 5 4 8 3 9
Copyright by Page 38
5
X 4 3 2 9 8 7 5 65
X 9 7 4 5 6 3 8 25
Kuadrat
Alat peraga :
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Soal :
1. 1 x 1 = ...
2. 2 x 2 = ...
3. 3 x 3 = ...
Copyright by Page 39
4. 4 x 4 = ...5. 5 x 5 = ...6. 6 x 6 = ...7. 7 x 7 = ...8. 8 x 8 = ...9. 9 x 9 = ...10. 10 x 10 = ...11. 8 x 8 = ...12. 1 x 1 = ...13. 4 x 4 = ...14. 2 x 2 = ...15. 10 x 10 = ...16. 5 x 5 = ...17. 3 x 3 = ...18. 6 x 6 = ...19. 7 x 7 = ...20. 9 x 9 = ...21. 8 x 8 = ...
22. 1 x 1 = ...23. 7 x 7 = ...24. 2 x 2 = ...25. 9 x 9 = ...26. 3 x 3 = ...27. 10 x 10 = ...28. 4 x 4 = ...29. 5 x 5 = ...30. 6 x 6 = ...31. 8 x 8 = ...32. 4 x 4 = ...33. 7 x 7 = ...34. 2 x 2 = ...35. 10 x 10 = ...36. 5 x 5 = ...37. 1 x 1 = ...38. 3 x 3 = ...39. 6 x 6 = ...
40. 9 x 9 = ...41. 6 x 6 = ...42. 8 x 8 = ...43. 1 x 1 = ...44. 3 x 3 = ...45. 7 x 7 = ...46. 5 x 5 = ...47. 2 x 2 = ...48. 9 x 9 = ...49. 10 x 10 = ...50. 4 x 4 = ...51. 9 x 9 = 52. 6 x 6 = 53. 8 x 8 = 54. 4 x 4 = 55. 7 x 7 = ...56. 10 x 10 = ...57. 5 x 5 = ...58. 1 x 1 = ...59. 2 x 2 = ...
Copyright by Page 40
60. 3 x 3 = ...61. 3 x 3 = ...62. 6 x 6 = ...63. 7 x 7 = ...64. 5 x 5 = ...65. 1 x 1 = ...66. 8 x 8 = ...67. 2 x 2 = ...68. 9 x 9 = ...69. 4 x 4 = ...70. 10 x 10 = ...71. 7 x 7 = ...72. 8 x 8 = ...73. 1 x 1 = ...74. 9 x 9 = ...75. 4 x 4 = ...76. 6 x 6 = ...77. 3 x 3 = ...
78. 2 x 2 = ...79. 10 x 10 = ...80. 5 x 5 = ...81. 5 x 5 = ...82. 1 x 1 = ...83. 7 x 7 = ...84. 2 x 2 = ...85. 8 x 8 = ...86. 9 x 9 = ...87. 3 x 3 = ...88. 4 x 4 = ...89. 10 x 10 = ...90. 6 x 6 = ...91. 4 x 4 = ...92. 7 x 7 = ...93. 6 x 6 = ...94. 2 x 2 = ...95. 10 x 10 = ...
96. 5 x 5 = ...97. 1 x 1 = ...98. 9 x 9 = ...99. 3 x 3 = ...100. 8 x 8 = ...101. 4 x 4 = ...102. 2 x 2 = ...103. 6 x 6 = ...104. 1 x 1 = ...105. 3 x 3 = ...106. 7 x 7 = ...107. 10 x 10 =...108. 8 x 8 = ...109. 5 x 5 = ...110. 9 x 9 = ...111. 6 x 6 = ...112. 4 x 4 = ...113. 7 x 7 = ...
Copyright by Page 41
114. 3 x 3 = ...115. 9 x 9 = ...116. 1 x 1 = ...117. 10 x 10 =...118. 8 x 8 = ...119. 5 x 5 = ...120. 2 x 2 = ...121. 1 x 1 = ...122. 2 x 2 = ...123. 3 x 3 = ...124. 3 x 3 = ...125. 6 x 6 = ...126. 7 x 7 = ...
127. 5 x 5 = ...128. 1 x 1 = ...129. 8 x 8 = ...130. 2 x 2 = ...131. 9 x 9 = ...132. 4 x 4 = ...133. 10 x 10 =...134. 7 x 7 = ...135. 8 x 8 = ...136. 1 x 1 = ...137. 9 x 9 = ...138. 4 x 4 = ...139. 6 x 6 = ...
140. 3 x 3 = ...141. 2 x 2 = ...142. 10 x 10 =...143. 5 x 5 = ...144. 5 x 5 = ...145. 1 x 1 = ...146. 7 x 7 = ...147. 2 x 2 = ...148. 8 x 8 = ...149. 9 x 9 = ...150. 3 x 3 = ...
Perkalian 3 Alat peraga :
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Copyright by Page 42
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Soal :
1. 6 x 3 = ...2. 3 x 6 = ...3. 7 x 3 = ...4. 3 x 7 = ...5. 3 x 6 = ...6. 3 x 7 = ...7. 7 x 3 = ...8. 6 x 3 = ...9. 6 x 3 = ...10. 3 x 7 = ...
11. 7 x 3 =...12. 6 x 3 = ...13. 3 x 6 = ...14. 7 x 3 = ...15. 3 x 7 = ...16. 3 x 6 = ...17. 3 x 7 = ...18. 7 x 3 = ...19. 6 x 3 = ...20. 6 x 3 = ...
21. 3 x 7 = ...22. 7 x 3 =...23. 6 x 3 = ...24. 3 x 6 = ...25. 6 x 3 = ...26. 6 x 3 = ...27. 3 x 7 = ...28. 7 x 3 = ...29. 3 x 7 = ...30. 3 x 6 = ...
Copyright by Page 43
31. 3 x 7 = ...32. 7 x 3 = ...33. 7 x 3 =...34. 3 x 6 = ...35. 7 x 3 = ...36. 3 x 7 = ...37. 3 x 6 = ...38. 3 x 7 = ...39. 7 x 3 = ...40. 6 x 3 = ...41. 6 x 3 = ...42. 3 x 7 = ...43. 7 x 3 =...44. 6 x 3 = ...45. 3 x 6 = ...46. 6 x 3 = ...47. 6 x 3 = ...48. 3 x 7 = ...49. 7 x 3 = ...
50. 3 x 7 = ...51. 3 x 6 = ...52. 3 x 7 = ...53. 7 x 3 = ...54. 7 x 3 =...55. 3 x 6 = ...56. 7 x 3 = ...57. 3 x 7 = ...58. 3 x 6 = 59. 3 x 7 = 60. 7 x 3 = 61. 6 x 3 = 62. 6 x 3 = ...63. 3 x 7 = ...64. 7 x 3 =...65. 6 x 3 = ...66. 3 x 6 = ...67. 6 x 3 = ...68. 6 x 3 = ...69. 3 x 7 = ...70. 7 x 3 = ...
71. 3 x 7 = ...72. 3 x 6 = ...73. 3 x 7 = ...74. 7 x 3 = ...75. 7 x 3 =...76. 3 x 6 = ...77. 7 x 3 = ...78. 3 x 7 = ...79. 3 x 6 = ...80. 3 x 7 = ...81. 7 x 3 = ...82. 6 x 3 = ...83. 6 x 3 = ...84. 3 x 7 = ...85. 7 x 3 =...86. 6 x 3 = ...87. 3 x 6 = ...88. 6 x 3 = ...89. 6 x 3 = ...
Copyright by Page 44
90. 3 x 7 = ...91. 7 x 3 = ...92. 3 x 7 = ...93. 3 x 6 = ...94. 3 x 7 = ...95. 7 x 3 = ...96. 7 x 3 =...97. 3 x 6 = ...98. 7 x 3 = ...99. 3 x 7 = ...100. 3 x 6 = ...101. 3 x 7 = ...102. 7 x 3 = ...103. 6 x 3 = ...104. 8 x 3 = ...105. 6 x 3 = ...106. 3 x 7 = ...107. 3 x 8 = ...108. 7 x 3 =...
109. 8 x 3 = ...110. 6 x 3 = ...111. 8 x 3 = ...112. 3 x 6 = ...113. 8 x 3 = ...114. 6 x 3 = ...115. 3 x 8 = ...116. 6 x 3 = ...117. 3 x 7 = ...118. 3 x 8 = ...119. 7 x 3 = ...120. 3 x 8 = ...121. 3 x 7 = ...122. 8 x 3 = ...123. 3 x 6 = ...124. 3 x 7 = ...125. 7 x 3 = ...126. 7 x 3 =...
127. 7 x 3 = ...128. 6 x 3 = ...129. 8 x 3 = ...130. 6 x 3 = ...131. 3 x 7 = ...132. 3 x 8 = ...133. 7 x 3 =...134. 8 x 3 = ...135. 6 x 3 = ...136. 8 x 3 = ...137. 3 x 6 = ...138. 8 x 3 = ...139. 6 x 3 = ...140. 3 x 8 = ...141. 6 x 3 = ...142. 3 x 7 = ...143. 3 x 8 = ...144. 7 x 3 = ...
Copyright by Page 45
145. 3 x 8 = ...146. 3 x 7 = ...
147. 8 x 3 = ...148. 3 x 6 = ...
149. 3 x 7 = ...150. 7 x 3 = ...
Perkalian 4
Alat peraga :
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Bagaimana cara mengajarnya?
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Soal :
1. 6 x 4 = ...2. 4 x 6 = ...3. 7 x 4 = ...
4. 4 x 7 = ...5. 4 x 6 = ...6. 4 x 7 = ...
7. 7 x 4 = ...8. 6 x 4 = ...9. 6 x 4 = ...
Copyright by Page 46
10. 4 x 7 = ...11. 7 x 4 =...12. 6 x 4 = ...13. 4 x 6 = ...14. 7 x 4 = ...15. 4 x 7 = ...16. 4 x 6 = ...17. 4 x 7 = ...18. 7 x 4 = ...19. 6 x 4 = ...20. 6 x 4 = ...21. 4 x 7 = ...22. 7 x 4 =...23. 6 x 4 = ...24. 4 x 6 = ...25. 6 x 4 = ...26. 6 x 4 = ...27. 4 x 7 = ...28. 7 x 4 = ...
29. 4 x 7 = ...30. 4 x 6 = ...31. 4 x 7 = ...32. 7 x 4 = ...33. 7 x 4 =...34. 4 x 6 = ...35. 7 x 4 = ...36. 4 x 7 = ...37. 4 x 6 = ...38. 4 x 7 = ...39. 7 x 4 = ...40. 6 x 4 = ...41. 6 x 4 = ...42. 4 x 7 = ...43. 7 x 4 =...44. 6 x 4 = ...45. 4 x 6 = ...46. 6 x 4 = ...47. 6 x 4 = ...
48. 4 x 7 = ...49. 7 x 4 = ...50. 4 x 7 = ...51. 4 x 6 = ...52. 4 x 7 = ...53. 7 x 4 = ...54. 7 x 4 =...55. 4 x 6 = ...56. 7 x 4 = ...57. 4 x 7 = ...58. 4 x 6 = ...59. 4 x 7 = ...60. 7 x 4 = ...61. 6 x 4 = 62. 6 x 4 = 63. 4 x 7 = 64. 7 x 4 =...65. 6 x 4 = ...66. 4 x 6 = ...67. 6 x 4 = ...
Copyright by Page 47
68. 6 x 4 = ...69. 4 x 7 = ...70. 7 x 4 = ...71. 4 x 7 = ...72. 4 x 6 = ...73. 4 x 7 = ...74. 7 x 4 = ...75. 7 x 4 =...76. 4 x 6 = ...77. 7 x 4 = ...78. 4 x 7 = ...79. 4 x 6 = ...80. 4 x 7 = ...81. 7 x 4 = ...82. 6 x 4 = ...83. 6 x 4 = ...84. 4 x 7 = ...85. 7 x 4 =...86. 6 x 4 = ...
87. 4 x 6 = ...88. 6 x 4 = ...89. 6 x 4 = ...90. 4 x 7 = ...91. 7 x 4 = ...92. 4 x 7 = ...93. 4 x 6 = ...94. 4 x 7 = ...95. 7 x 4 = ...96. 7 x 4 =...97. 4 x 6 = ...98. 7 x 4 = ...99. 4 x 7 = ...100. 4 x 6 = ...101. 4 x 7 = ...102. 7 x 4 = ...103. 6 x 4 = ...104. 8 x 4 = ...
105. 6 x 4 = ...106. 4 x 7 = ...107. 4 x 8 = ...108. 7 x 4 =...109. 8 x 4 = ...110. 6 x 4 = ...111. 8 x 4 = ...112. 4 x 6 = ...113. 8 x 4 = ...114. 6 x 4 = ...115. 4 x 8 = ...116. 6 x 4 = ...117. 4 x 7 = ...118. 4 x 8 = ...119. 7 x 4 = ...120. 4 x 8 = ...121. 4 x 7 = ...122. 8 x 4 = ...
Copyright by Page 48
123. 4 x 6 = ...124. 4 x 7 = ...125. 7 x 4 = ...126. 7 x 4 =...127. 7 x 4 = ...128. 6 x 4 = ...129. 8 x 4 = ...130. 6 x 4 = ...131. 4 x 7 = ...132. 4 x 8 = ...
133. 7 x 4 =...134. 8 x 4 = ...135. 6 x 4 = ...136. 8 x 4 = ...137. 4 x 6 = ...138. 8 x 4 = ...139. 6 x 4 = ...140. 4 x 8 = ...141. 6 x 4 = ...142. 4 x 7 = ...
143. 4 x 8 = ...144. 7 x 4 = ...145. 4 x 8 = ...146. 4 x 7 = ...147. 8 x 4 = ...148. 4 x 6 = ...149. 4 x 7 = ...150. 7 x 4 = …
Perkalian 6,7,8
Alat peraga :
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Bagaimana cara mengajarnya?
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Copyright by Page 49
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Soal :
1. 6 x 7 = ...2. 7 x 6 = ...3. 6 x 8 = ...4. 7 x 6 = ...5. 6 x 8 = ...6. 6 x 8 = ...7. 6 x 7 = ...8. 6 x 8 = ...9. 6 x 7 = ...10. 6 x 8 = ...11. 6 x 8 =...12. 6 x 7 = ...13. 7 x 6 = ...14. 6 x 8 = ...
15. 7 x 6 = ...16. 6 x 8 = ...17. 6 x 8 = ...18. 6 x 7 = ...19. 6 x 8 = ...20. 6 x 7 = ...21. 6 x 8 = ...22. 6 x 8 =...23. 6 x 7 = ...24. 6 x 8 = ...25. 7 x 6 = ...26. 6 x 7 = ...27. 6 x 8 = ...28. 6 x 7 = ...
29. 6 x 8 = ...30. 7 x 6 = ...31. 6 x 8 = ...32. 6 x 8 =...33. 7 x 6 = ...34. 6 x 8 = ...35. 6 x 8 = ...36. 7 x 6 = ...37. 6 x 8 = ...38. 6 x 7 = ...39. 6 x 8 = ...40. 6 x 7 = ...41. 6 x 8 = ...42. 6 x 7 = ...
Copyright by Page 50
43. 7 x 6 = ...44. 6 x 7 = ...45. 6 x 8 =...46. 6 x 7 = ...47. 6 x 8 = ...48. 6 x 8 = ...49. 6 x 8 = ...50. 7 x 6 = ...51. 6 x 8 = ...52. 6 x 8 = ...53. 6 x 8 =...54. 7 x 6 = ...55. 6 x 8 = ...56. 6 x 8 = ...57. 7 x 6 = ...58. 6 x 8 = ...59. 6 x 8 = ...60. 6 x 7 = ...61. 6 x 8 = ...
62. 6 x 7 = ...63. 6 x 8 = ...64. 6 x 8 =...65. 6 x 7 = ...66. 7 x 6 = ...67. 6 x 7 = ...68. 6 x 7 = ...69. 6 x 8 = ...70. 6 x 8 = ...71. 6 x 8 = ...72. 7 x 6 = ...73. 6 x 8 = ...74. 6 x 8 = ...75. 6 x 8 =...76. 7 x 6 = ...77. 6 x 8 = ...78. 6 x 8 = ...79. 7 x 6 = ...80. 6 x 8 = ...
81. 6 x 8 = ...82. 6 x 7 = ...83. 6 x 7 = ...84. 6 x 8 = ...85. 6 x 8 =...86. 6 x 7 = ...87. 7 x 6 = ...88. 6 x 7 = ...89. 6 x 7 = ...90. 6 x 8 = ...91. 6 x 8 = ...92. 6 x 8 = ...93. 7 x 6 = ...94. 6 x 8 =...95. 6 x 8 = ...96. 6 x 8 = ...97. 7 x 6 = ...98. 6 x 8 = ...99. 6 x 8 = ...
Copyright by Page 51
100. 7 x 6 = ...101. 6 x 8 = ...102. 6 x 8 = ...103. 6 x 7 = ...104. 8 x 7 = ...105. 6 x 7 = ...106. 6 x 8 = ...107. 7 x 8 = ...108. 6 x 8 =...109. 8 x 7 = ...110. 6 x 7 = ...111. 8 x 7 = ...112. 7 x 6 = ...113. 8 x 7 = ...114. 6 x 7 = ...115. 7 x 8 = ...116. 6 x 7 = ...
117. 6 x 8 = ...118. 7 x 8 = ...119. 6 x 8 = ...120. 7 x 8 = ...121. 6 x 8 = ...122. 8 x 7 = ...123. 7 x 6 = ...124. 6 x 8 = ...125. 6 x 8 = ...126. 6 x 8 = ...127. 6 x 8 = ...128. 6 x 7 = ...129. 8 x 7 = ...130. 6 x 7 = ...131. 6 x 8 = ...132. 7 x 8 = ...133. 6 x 8 = ...
134. 8 x 7 = ...135. 6 x 7 = ...136. 8 x 7 = ...137. 7 x 6 = ...138. 8 x 7 = ...139. 6 x 7 = ...140. 7 x 8 = ...141. 6 x 7 = ...142. 6 x 8 = ...143. 7 x 8 = ...144. 6 x 8 = ...145. 7 x 8 = ...146. 6 x 8 = ...147. 8 x 7 = ...148. 7 x 6 = ...149. 6 x 8 = ...150. 6 x 8 = ...
Copyright by Page 52
X 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10
Review perkalian 1 sampai 10
X 9 6 8 4 3 2 7 5 10
1
5
1
3
2
6
107
8
9
4
Copyright by Page 53
Perkalian 2 digit dengan 1 digit level 1
Bagaimana cara mengajarnya?
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Soal :
1. 13 x 2 = ...2. 13 x 3 = ...3. 12 x 2 = ...4. 12 x4 = ...5. 12 x 3 =...6. 11 x 2 = ...
7. 11 x 3 = ...8. 11 x 4 = ...9. 11 x 5 =...10. 11 x 6 = ...11. 11 x 7 = ...12. 11 x 8 = ...
13. 11 x9 = ...14. 14 x 2 = ...15. 23 x 2 = ...16. 23 x 3 = ...17. 22 x 2 = ...18. 22 x4 = ...
Copyright by Page 54
19. 22 x 3 =...20. 21 x 2 = ...21. 21 x 3 = ...22. 21 x 4 = ...23. 21 x 5 =...24. 21 x 6 = ...25. 21 x 7 = ...26. 21 x 8 = ...27. 21 x9 = ...28. 24 x 2 = ...29. 33 x 2 = ...30. 33 x 3 = ...31. 32 x 2 = ...32. 32 x4 = ...33. 32 x 3 =...34. 31 x 2 = ...35. 31 x 3 = ...36. 31 x 4 = ...
37. 31 x 5 =...38. 31 x 6 = ...39. 31 x 7 = ...40. 31 x 8 = ...41. 31 x9 = ...42. 34 x 2 = ...43. 43 x 2 = ...44. 43 x 3 = ...45. 42 x 2 = ...46. 42 x4 = ...47. 42 x 3 =...48. 41 x 2 = ...49. 41 x 3 = ...50. 41 x 4 = ...51. 41 x 5 =...52. 41 x 6 = ...53. 41 x 7 = ...54. 41 x 8 = ...
55. 41 x9 = ...56. 44 x 2 = ...57. 53 x 2 = ...58. 53 x 3 = ...59. 52 x 2 = ...60. 52 x4 = ...61. 52 x 3 =...62. 51 x 2 = ...63. 51 x 3 = ...64. 51 x 4 = ...65. 51 x 5 =...66. 51 x 6 = ...67. 51 x 7 = ...68. 51 x 8 = ...69. 51 x9 = ...70. 54 x 2 = ...71. 63 x 2 = ...72. 63 x 3 = ...
Copyright by Page 55
73. 62 x 2 = ...74. 62 x4 = ...75. 62 x 3 =...76. 61 x 2 = ...77. 61 x 3 = ...78. 61 x 4 = ...
79. 61 x 5 =...80. 61 x 6 = ...81. 61 x 7 = ...82. 61 x 8 = ...83. 61 x9 = ...84. 64 x 2 = ...
85. 73 x 2 = ...86. 73 x 3 = ...87. 72 x 2 = ...88. 72 x4 = ...89. 72 x 3 =...90. 71 x 2 = ...
Perkalian 2 digit dengan 1 digit level 2
Bagaimana cara mengajarnya?
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Copyright by Page 56
Soal :
1. 12 x 6 = ...2. 12 x 7 = ...3. 13 x 6 = ...4. 13 x 9 = ...5. 14 x 7 = ...6. 14 x 8 = ...7. 14 x 9 = ...8. 16 x 8 = ...9. 16 x 9 = ...10. 17 x 6 = ...11. 17 x 7 = ...12. 23 x 4 = ...13. 23 x 9 = ...14. 29 x 7 = ...15. 29 x 8 = ...16. 29 x 9 = ...17. 32 x 6 = ...18. 32 x 7 = ...19. 32 x 8 = ...20. 32 x 9 = ...21. 33 x 9 = ...22. 34 x 3 = ...23. 34 x 4 = ...24. 35 x 6 = ...25. 36 x 9 = ...26. 37 x 2 = ...27. 8 x 7 = ...28. 48 x 8 = ...29. 49 x 6 = ...30. 64 x 7 = ...
31. 69 x 2 = ...32. 69 x 3 = ...33. 69 x 9 = ...34. 72 x 6 = ...35. 72 x 7 = ...36. 72 x 8 = ...37. 72 x 9 = ...38. 73 x 4 = ...39. 73 x 5 = ...40. 73 x 6 = ...41. 73 x 7 = ...42. 73 x 8 = ...43. 73 x 9 = ...44. 74 x 3 = ...45. 74 x 9 = ...46. 75 x 2 = ...47. 75 x 3 = ...48. 87 x 2 = ...49. 87 x 3 = ...50. 87 x 4 = ...51. 87 x 5 = ...52. 87 x 6 = ...53. 87 x 7 = ...54. 87 x 8 = ...55. 87 x 9 = ...56. 88 x 2 = ...57. 88 x 3 = ...58. 88 x 4 = ...59. 88 x 5 = ...60. 88 x 6 = ...
61. 88 x 7 = ...62. 88 x 8 = ...63. 88 x 9 = ...64. 89 x 2 = ...65. 89 x 3 = ...66. 89 x 4 = ...67. 89 x 5 = ...68. 89 x 6 = ...69. 89 x 7 = ...70. 89 x 8 = ...71. 89 x 9 = ...72. 92 x 6 = ...73. 92 x 7 = ...74. 92 x 8 = ...75. 92 x 9 = ...76. 93 x 4 = ...77. 93 x 5 = ...78. 93 x 6 = ...79. 93 x 7 = ...80. 93 x 8 = ...81. 93 x 9 = ...82. 94 x 3 = ...83. 94 x 4 = ...84. 94 x5 = ...85. 94 x 6 = ...86. 94 x 7 = ...87. 94 x 8 = ...88. 94 x 9 = ...89. 95 x 2 = ...90. 95 x 3 = ...
Copyright by Page 57
Perkalian 2 digit dengan 2 digit level 1
Bagaimana cara mengajarnya?
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Soal :
1. 11 x 11 = ...2. 11 x 12 = ...3. 11 x 13 = ...4. 11 x 14 = ...5. 11 x 15 = ...6. 11 x 16 = ...7. 11 x 17 =...8. 11 x 18 = ...9. 12 x 11 = ...10. 12 x 12 = ...
11. 12 x 13 = ...12. 12 x 14 =...13. 13 x 11 = ....14. 15 x 11 = ...15. 21 x 11 = ...16. 21 x 12 = ...17. 21 x 13 = ...18. 23 x 12 = ...19. 23 x 13 = ...20. 24 x 11 = ...
21. 25 x 11 = ...22. 26 x 11 = ...23. 27 x 11 = ...24. 31 x 11 = ...25. 31 x 12 = ...26. 32 x 11 = ...27. 32 x 12 = ...28. 33 x 11 = ...29. 33 x 12 = ...30. 34 x 11 = ...
Copyright by Page 58
31. 35 x 11 = ...32. 53 x 11 = ...33. 54 x 11 = ...34. 61 x 11 = ...35. 62 x 11 = ...36. 63 x 11 = ...37. 71 x 11 = ...38. 72 x 11 = ...39. 81 x 11 = ...40. 11 x 25 = ...
41. 11 x 26 = ...42. 12 x 23 = ...43. 13 x 21 = ...44. 13 x 22 = ...45. 13 x 23 = ...46. 14 x 21 = ...47. 21 x 21 = ...48. 21 x 22 = ...49. 21 x 23 = ...50. 22 x 21 = ...
51. 22 x 22 = ...52. 23 x 21 = ...53. 31 x 21 = ...54. 31 x 22= ...55. 32 x 21 = ...56. 33 x 21 = ...57. 41 x 21 = ...58. 31 x 22 = ...59. 32 x 21 = ...60. 33 x 21 = ...
Perkalian 2 digit kali 2 digit level 2
Bagaimana cara mengajarnya?
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1. 12 x 15 = ...2. 12 x 16 = ...
3. 13 x 14 = ...4. 13 x 15 = ...
5. 14 x 13 = ..6. 14 x 14 = ...
Copyright by Page 59
7. 15 x 12 = ...8. 15 x 13 = ...9. 16 x 12 = ...
10. 22 x 15 = ...11. 22 x 16 = ...12. 23 x 14 = ...
Perkalian dua digit dengan dua digit level 3
Bagaimana cara mengajarnya?
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Soal
1. 54 x 12 = ...2. 64 x 12 = ...3. 94 x 22 = ...4. 23 x 37 = ...
5. 44 x 32 = ...6. 54 x 32 = ...7. 64 x 32 = ...8. 74 x 32 = ...
9. 84 x 32 = ...10. 94 x 32 = ...11. 34 x 42 = ...12. 44 x 42 = ...
Copyright by Page 60
13. 54 x 42 = ...14. 64 x 42 = ...15. 74 x 42 = ...16. 84 x 42 = ...17. 94 x 42 = ...18. 34 x 52 = ...19. 44 x 52 = ...20. 54 x 52 = ...21. 64 x 52 = ...22. 74 x 52 = ...23. 84 x 52 = ...24. 94 x 52 = ...25. 23 x 62 = ...26. 34 x 62 = ...27. 44 x 62 = ...28. 54 x 62 = ...
29. 64 x 62 = ...30. 74 x 62 = ...31. 84 x 62 = ...32. 94 x 62 = ...33. 23 x 72 = ...34. 44 x 82 = ...35. 54 x 82 = ...36. 64 x 82 = ...37. 74 x 82 = ...38. 84 x 82 = ...39. 94 x 82 = ...40. 23 x 92 = ...41. 34 x 92 = ...42. 44 x 92 = ...43. 54 x 92 = ...44. 64 x 92 = ...
45. 74 x 92 = ...46. 84 x 92 = ...47. 94 x 92 = ...48. 94 x 11 = ...49. 84 x 21 = ...50. 94 x 21 = ...51. 74 x 31 = ...52. 84 x 31 = ...53. 94 x 31 = ...54. 64 x 41 = ...55. 74 x 41 = ...56. 84 x 41 = ...57. 94 x 41 = ...58. 54 x 51 = ...59. 64 x 51 = ...60. 74 x 51 = ...
Perkalian dua digit dengan dua digit level 4
Bagaimana cara mengajarnya?
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Copyright by Page 61
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Soal
1. 87 x 83 = ...
2. 87 x 84 = ...
3. 87 x 85 = ...
4. 87 x 86 = ...
5. 87 x 88 = ...
6. 87 x 89 = ...
7. 88 x 82 = ...
8. 88 x 83 = ...
9. 88 x 84 = ...
10. 88 x 85 = ...
11. 88 x 86 = ...
12. 88 x 87 = ...
13. 88 x 88 = ...
14. 88 x 89 = ...
15. 89 x 88 = ...
16. 89 x 82 = ...
17. 89 x 83 = ...
18. 89 x 84 = ...
19. 89 x 85 = ...
20. 89 x 86 = ...
21. 89 x 87 = ...
22. 89 x 88 = ...
23. 89 x 89 = ...
24. 98 x 88 = ...
25. 98 x 89 = ...
26. 92 x 85 = ...
27. 92 x 86 =...
28. 92 x 87 = ...
29. 92 x 88 = ...
30. 92 x 89 =...
31. 93 x 84 = ...
32. 93 x 85 = ...
33. 93 x 86 = ...
34. 93 x 87 = ...
35. 93 x 88 = ...
36. 93 x 89 = ...
37. 94 x 83 = ...
38. 94 x 84 = ...
39. 94 x 85 = ...
40. 94 x 86 = ...
41. 94 x 87 = ...
42. 94 x 88 = ...
Copyright by Page 62
43. 94 x 89 = ...
44. 95 x 82 = ...
45. 95 x 83 = ...
46. 95 x 86 = ...
47. 95 x 87 = ...
48. 95 x 88 = ...
49. 95 x 89 = ...
50. 96 x 82 = ...
51. 96 x 83 = ...
52. 96 x 84 = ...
53. 96 x 86 = ...
54. 96 x 87 = ...
55. 96 x 88 = ...
56. 96 x 89 = ...
57. 97 x 87 = ...
58. 97 x 88 = ...
59. 97 x 89 = ...
60. 98 x 82 = ...
61. 98 x 83 = ...
62. 98 x 84 = ...
63. 98 x 85 = ...
64. 98 x 87 = ...
65. 98 x 88 = ...
66. 98 x 89 = ...
67. 99 x 88 = ...
68. 99 x 82 = ...
69. 99 x 83 = ...
70. 99 x 84 = ...
71. 99 x 85 = ...
72. 99 x 86 = ...
73. 99 x 87 = ...
74. 99 x 88 = ...
75. 99 x 89 = ...
Perkalian bilangan dengan nol dibelakang.
Bagaimana cara mengajarnya?
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Copyright by Page 63
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Soal
1. 50 x 20 = ...2. 40 x 200 = ...3. 10 x 500 = ...4. 400 x 20 = ...5. 210 x 30 = ...6. 550 x 200 = ...7. 230 x 210 = ...8. 3100 x 5 = ...9. 45000 x 5 = ...10. 3500 x 5 = ...11. 3200 x 50 = ...12. 120 x 500 = ...13. 470 x 400 = ...14. 320 x 500 = ...15. 290 x 80 = ...16. 890 x 20 = ...17. 990 x 60 = ...18. 990 x 220 = ...19. 460 x 200 = ...20. 40 x 500 = ...21. 700 x 400 = ...22. 820 x 30 = ...23. 890 x 98 = ...
24. 990 x 110 = ...25. 290 x 220 = ...26. 450 x 450 = ...27. 8200 x 50 = ...28. 5200 x 500 = ...29. 2600 x 200 = ...30. 4200 x 500 = ...31. 7100 x 400 = ...32. 150 x 20 = ...33. 140 x 200 = ...34. 160 x 500 = ...35. 4200 x 20 = ...36. 250 x 1200 = ...37. 230 x 170 = ...38. 290 x 8900 = ...39. 8900 x 120 = ...40. 990 x 160 = ...41. 59000 x 220 =... 42. 260 x 1200 = ...43. 40 x 8500 = ...44. 700 x 9400 = ...45. 82000 x 130 = ...46. 21000 x 90 = …
Copyright by Page 64
47. 890 x 9800 = ...48. 790 x 11000 = ...
49. 19000 x 220 = ...50. 45000 x 350 = ...
Perkalian tiga digit dengan 1 digit
Bagaimana cara mengajarnya?
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Soal
1234
....×
2136
....×
2337
....×
3212
....×
3118
....×
1215....×
\\345
6....×
5415....×
1352
....×
5345….
×
2347….
×
1459
....×
4464….
×
6568….
×
5557….
×
5436….
×
6454….
×
3333
....×
Copyright by Page 65
Perkalian tiga digit dengan 2 digit dan 3 digit
Bagaimana cara mengajarnya?
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Soal
17624....×
56544....×
47527....×
22562....×
77638....×
24645....×
87134....×
11958....×
19847....×
17523....×
34811....×
24721....×
Copyright by Page 66
99999....×
88888....×
77777....×
60324....×
50521....×
40221....×
176124....×
565446....×
475227....×
225662....×
776328....×
246455....×
871234....×
119568....×
198457....×
175236....×
348114....×
247231....×
999999....×
888888....×
777777....×
603204....×
505213....×
402201....×
Perkalian empat digit dengan 1 digit
Bagaimana cara mengajarnya?
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Copyright by Page 67
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Soal
17234....
×
21839....
×
23537....
×
32812....
×
35118
....×
15215....
×
87612....
×
11495
....×
19484....
×
17546....
×
34484....
×
24472....
×
99999....
×
88988....
×
77977....
×
60934....
×
59053....
×
49022....
×
Perkalian empat digit dengan 2,3 dan 4 digit.
Bagaimana cara mengajarnya?
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Copyright by Page 68
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Soal
17232274
....×
21832691
....×
23533237
....×
32811132
....×
35112218
....×
15213155
....×
36451516
....×
52411265
....×
11354132
....×
51345495
....×
23843771
....×
14955239
....×
4456334....
×
6256148....
×
5355267....
×
5743236....
×
6945454....
×
3393623....
×
167614....
×
567546....
×
477527....
×
226562....
×
778638....
×
245645....
×
876126....
×
114959....
×
194849....
×
175467....
×
344846....
×
244762....
×
99999999
....×
88988898
....×
77977797
....×
60932094
....×
59052193
....×
49022091
....×
Perkalian tiga bilangan
Bagaimana cara mengajarnya?
Copyright by Page 69
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Soal :
1. 11 x 12 x 13 = ....2. 12 x 13 x 14 = ....3. 13 x 14 x 15 = ....4. 15 x 16 x 17 = ....5. 16 x 17 x 18 =....6. 17 x 18 x 19 =....7. 18 x 19 x 20 = ....8. 21 x 22 x 23 = ....9. 15 x 16 x 12 = ....10. 27 x 19 x 11 = ....11. 25 x 56 x 17 = ....12. 32 x 43 x 11 = ....13. 52 x 43 x 16 = ....14. 23 x 26 x 32 = ....15. 21 x 42 x 19 = ....
16. 27 x 78 x 14 = ....17. 48 x 44 x 22 = ....18. 21 x 17 x 18 = ....19. 24 x 28 x 29 = ....20. 81 x 83 x 13 = ....21. 62 x 52 x 43 = ....22. 48 x 42 x 16 = ....23. 24 x 28 x 29 = ....24. 21 x 71 x 38 = ....25. 25 x 78 x 39 = ....26. 57 x 13 x 91 = ....27. 22 x 25 x 21 = ....28. 27 x 73 x 64 = ....29. 45 x 76 x 28 = ....30. 17 x 8 x 45 = ....
Copyright by Page 70
Soal Cerita Variasi
Bagaimana cara mengajarnya?
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Soal
1. Berapa roda 7 sepeda ? (Sepeda rodanya ada 2).2. Becak rodanya ada 3. Hitung jumlah roda 6 becak.
3. Di taman terdapat 5 pohoni bunga mawar. Tiap pohon mempunyai 3 bunga mawar. Berapa banyak bunga mawar di taman itu.
4. Rumah di perumahan SATELIT bentuk dan ukurannya sama. Tiap rumah mempunyai 6 jendela. Ada berapa jendela harus dibuat untuk memban-gun 8 rumah?
5. Regu SENANG BEKERJA berbaris dalam 3 barisan. Tiap barisan terdiri dari 9 orang, Berapa jumlah orang dalam regu SENANG BEKERJA ini?
6. Rinaldi senang berwirausaha. Ia mempunyai ternak ayam. Jumlah ayam yang ia punyai 8 ekor. Tiap ayam mampu bertelur 10 butir tiap bulan. Berapa telur diperoleh Rinaldi tiap bulan?
7. Mario mempunyai koleksi layang-layang. Ketika musim layang-layang tiba Mario membeli 3 layang-layang tiap minggunya . Hitung berapa jum-lah layang-layang Mario dalam waktu 2 minggu.
Copyright by Page 71
8. Yuni mempunyai 4 tempat pensil. Di tiap tempat pensil itu ada 9 pensil. Hitung jumlah pensil yang dimiliki Yuni
9. Di dalam sekolah ada 9 kelas. Di tiap kelas ada 8 jendela. Hitung jumlah jendela pada seluruh kelas di sekolah itu.
10. Satu adonan kue memerlukan 20 telur. Berapa telur yang diperlukan un-tuk membuat 6 adonan kue?
11. Satu ayam beratnya 2 kilogram. Hitung berapa kilogram berat 7 ayam.\
12. Bang Tigor membeli 7 kilogram apel. Tiap kilogram apel rata-rata terdiri dari 6 apel. Hitung banyaknya apel yang Bang Tigor beli.
13. Paman Dodi mempunyai 8 kandang. Dalam 1 kandang terdapat 4 kamb-ing. Hitung berapa jumlah kambing Paman Dodi?
14. Nenek Tuti mempunyai 7 pohon pepaya. Pada tiap pohon terdapat 8 pe-paya. Hitung jumlah pepaya yang terdapat pada pohon pepaya Nenek Tuti.
15. Ibu Tini membuat 6 kue tart tiap hari. Hitung kue tart yang dibuat Ibu Tini dalam 5 hari
16. Leonard mempunyai 3 kucing. Tiap kucing melahirkan 6 anak. Berapa banyaknya anak kucing Leonard.
17. Ibu Lissapaly mempunyai 8 kantong kue. Satu kantong kue berisi 4 kue. Hitung banyaknya kue yang dimiliki oleh Ibu Toisuta.
18. Di rumah Pak Manurung ada 3 tumpuk majalah. Tiap tumpuk terdiri dari 9 majalah. Hitung berapa jumlah majalah dalam tumpukan itu.
Copyright by Page 72
19. Satu kantong plastik dapat diisi 5 jeruk. Hitung banyaknya jeruk dapat dimuati dalam 7 kantong plastik.
20. Satu minggu 7 hari. Berapa hari dalam 8 minggu?
Copyright by Page 73
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