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> Matematika = Susah, Mari Bermain Dengan Angka
sendiri
post May 26 2008, 08:07 AM
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Tips ini gw bagikan dengan maksud supaya rekan2 bf yang adik atau anaknya masih duduk di sekolah dasar bisa lebih menyukai dan bersemangat dalam belajar, semoga membantu.


Seringkali kl mendengar kata matematika, yg terbayang dibenak adalah kumpulan angka-angka yang jelimet, sulit, bosan dsb. ada beberapa trick yg bisa disebut juga permainan yang akan membuat matematika itu menjadi sesuatu yang menyenangkan.
gw mulai dari angka 11.
perkalian dengan angka 11 bisa dikerjakan dengan sangat mudah berapapun digit angka yg dikalikannya.
caranya begini,

11 x 11 = 121. pertama-tama tuliskan angka 11 dengan memberi jarak diantara kedua angka 1 _ 1 dan jumlahkan angka 1 dan 1, letakkan hasil penjumlahan pada jarak yang telah disediakan, hasilnya 121

12 x 11 =1 _ 2 hasil jumlah 1+2 =3 hasil akhir 132
13 x 11 =1 _ 3 hasil jumlah 1+3 =4 hasil akhir 143

bagaimana dengan perkalian 3 digit angka dengan 11? caranya sama hanya jaraknya yang kita perbesar menjadi 2 langkah

123 x 11 = 1 _ _ 3 hasil jumlah 1+2 = 3
hasil jumlah 2+3 = 5 kita sisipkan angka 35 diantara angka 1 dan 3 hasil akhirnya adalah 1353

144 x 11 = 1 _ _ 4 hasil jumlah 1+4 =5
hasil jumlah 4+4 = 8 sisipkan angka 58 diantara 1dan 4 = 1584

coba deh dengan angka yang lebih besar lainnya dengan perkalian 11[color="#FF0000"][/color]
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sendiri
post May 26 2008, 08:27 AM
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perkalian semua angka kuadrat yang berakhir dengan angka 5

15 x 15 =
tulis _ 25 (5 x 5 = 25) kalikan angka 1 dengan angka sesudahnya: 1 x 2 = 2 isi tempat yang kosong dengan 2 hasilnya
15 x 15 = 225

25 x 25 = _25
kalikan angka 2 dengan angka sesudahnya: 2 x 3 = 6 isi tempat yang kosong dengan angka 6. gampang bukan? coba hitung perkalian 35 x 35, 45 x 45, 55 x 55, dst ... dst
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sendiri
post May 26 2008, 08:36 AM
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perkalian angka yang memiliki selisih angka 2

11 x 13 = ...
angka diantara 11 dan 13 adalah 12
kuadratkan angka 12:
12 x 12 = 144
kurangi 144 dengan angka 1
144 - 1 = 143. hasil 11 x 13 = 143.

13 x 15 = ...
14 x 14 = 196
196 - 1 = 195

coba hitung 24 x 26, 25 x 27
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celaklantang
post May 26 2008, 12:03 PM
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Trims oom untuk lessonnya
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satriasatria
post May 26 2008, 05:41 PM
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info berguna...
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sendiri
post May 26 2008, 11:40 PM
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perkalian angka 15

8 x 15 = ....
kalikan angka pertama dengan sepuluh dan setengah angka pertama dengan sepuluh lalu jumlahkan keduanya

8 x 10 = 80
4 x 10 = 40 (setengah dari 8 = 4 )
80 + 40 = 120
jadi 8 x 15 = 120

9 x 15 = ...

9 x 10 = 90
4,5 x 10 = 45
90 + 45 = 135

coba ambil perkalian dengan nilai yg besar misal 1420 x 15 = ...
hitung dengan cara di atas


perkalian dengan angka 25.

semua angka yang dikalikan dengan 25 dapat dihitung dengan cepat, caranya ... bagilah angka pengali dengan 4 dan hasilnya kalikan 100. misal,

28 x 25 = ...
28 : 4 = 7
7 x 100 = 700

32 x 25 = ...
32 : 4 = 8
8 x 100 = 800



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sendiri
post May 26 2008, 11:49 PM
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mengkuadrat bilangan dua digit yang berawal dengan 5.

51 x 51 = ...
langkah I tambahkan bilangan satuan (1) dengan 25 .......... 1 + 25 = 26
langkah II kuadratkan bilangan satuan (1) ......................... 1 x 1 = 01
gabungkan kedua hasil bilangan ........... 2601

52 x 52 = ...
2 + 25 = 27
2 x 2 = 04
2704

57 x 57 =
7 + 25 = 32
7 x 7 = 49
3249

catatan ketika mengkuadratkan 1,2 atau 3 tulis hasilnya dengan 01, 04, dan 09

coba juga kuadrat angka yang berjumlah 3 digit dan temukan jawabannya. sedikit petunjuk ada angka yang diselipkan diantara langkah I dan langkah II
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Tuyul penipu
post May 27 2008, 12:44 AM
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thanks bro... matur tang kiu
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maxdunblue
post May 27 2008, 12:53 AM
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thanks buat infonya ........berguna banget buat gua !
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d12
post May 27 2008, 01:49 AM
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wah nambah ilmu bgt neh......thx bro
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garciathao
post May 27 2008, 02:02 AM
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ini gak pernah gw pelajari di sekolah. thx
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kagga
post May 27 2008, 03:03 AM
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waduh ilmu baru nih thnx ya
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search
post May 27 2008, 11:52 AM
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Mantep nich infonya tararengkyu yach pasti berguna buat yg merasa mls dengan matetika smile.gif
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ferryy21
post May 27 2008, 04:34 PM
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wah info yg bagus, walaupun gw bacanya jadi pusing sendiri
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m3rampot
post May 27 2008, 06:34 PM
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udah di baca-baca tapi masih belum dong.
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sendiri
post May 27 2008, 11:44 PM
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QUOTE (m3rampot @ May 27 2008, 06:34 PM) *
udah di baca-baca tapi masih belum dong.


jangan buru2 bacanya dan sambil baca sambil dilatih juga bro, sukses selalu

regards
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sendiri
post May 28 2008, 12:01 AM
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Hasil Pengkuadratan Yang Berakhir Dengan Angka 1 atau 9

21 x 21 = ...
kalikan bilangan sebelum dan sesudah bilangan 21.
tambahkan angka 1 pada hasil perkalian tersebut.

20 x 22 = 440
440 + 1 = 441

19 x 19 = ...
kalikan bilangan sebelum dan sesudah bilangan 19
tambahkan angka satu pada hasil perkalian tersebut

18 x 20 = 360
360 + 1 = 361

cara ini jauh lebih mudah dibandingkan kita harus mengalikan langsung 21 x 21, 19 x 19

coba hitung dengan cara diatas

11 x 11
41 x 41
31 x 31
39 x 39
29 x 29 dst

menakjubkan bukan? dan ternyata benar, siapa bilang matematika susah?
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sendiri
post May 28 2008, 12:12 AM
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Perkalian Dengan Penyimpanan

19 x 5 = .....

langkah I tambahkan bilangan pertama dengan 1
langkah II kalikan hasilnya dengan bilangan ke 2
hasil langkah II dikurangi dengan bilangan ke 2

19 + 1 = 20
20 x 5 = 100
100 - 5 = 95
jawabannya 95

39 x 4
langkah I tambahkan bilangan pertama dengan 1
langkah II kalikan hasilnya dengan bilangan ke 2
hasil langkah II dikurangi dengan bilangan ke 2

39 + 1 = 40
40 x 4 = 160
160 - 4 = 156

coba juga perkalian:
19 x 4
49 x 3
29 x 5
69 x 3 dst

bila anda kebetulan seorang guru, yang penting bagi murid supaya belajar menjadi menyenangkan adalah:
1. cara penyampaian materi
2. selalu mencari metode metode yang tidak biasa tetapi gampang diingat dan mudah dikerjakan.
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riz_boy83
post May 28 2008, 01:34 AM
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hebat bozzz
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sendiri
post May 28 2008, 10:58 PM
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Perkalian Dua Bilangan Tepat di Atas 100

102 x 107 = ... ?

Jangankan anak sd yang ud smp atau sma aja masih perlu waktu berpikir dan coret sana coret sini, kadang masih salah!!!

Tetapi tidak lagi! kl anda memakai metode ini

102 x 107 = ...

langkah 1. tulis ................................. 1
langkah 2. jumlahkan kedua angka satuan 2 + 7 = 09 (harus 2 digit)
langkah 3. kalikan kedua angka satuan 2 x 7 = 14 (harus 2 digit)
langkah 4. gabungkan langkah 1,2,3 dan hasilnya

10.914


contoh lagi

104 x 109 = ...

tulis ............................................. 1
jumlahkan kedua angka satuan 4 + 9 = 13
kalikan kedua angka satuan 4 x 9 = 36
gabungkan semuanya dan akan didapat hasilnya

11.336

bagaimana dengan perkalian

108 x 103 = ?
105 x 105 = ?
104 x 106 = ?
109 x 109 = ?

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