Kamis, 12 November 2009

Rumus-Rumus Praktis Untuk Perkalian

Perkalian

a * b = a * b

ab * cd = ab * c0 + d * a0 + b * d 0000atau
0000000000cd * a0 + b * c0 + b * d

abc * def = abc * d00 + ef * a00 + (bc * ef) =
000000000000abc * d00 + ef * a00 + b * c * e0 +
000000000000f * b0 + c * f

000000000000atau

000000000000def * a00 + bc * d00 + e * f * b0 +
000000000000c * e0 + c * f

000000000000abc * de0 + f * ab0 + c * f 0000atau
000000000000def * ab0 + c * de0 + c * f

Pangkat

a^2 = a * a

(ab)^2 = (ab + b) * a0 + b^2 0000bisa juga
(ab)^2 = a^2 * 10^2 + 2 * a * b * 10 + b^2

(abc)^2 = (abc + bc) * a00 + (bc)^2 =
0000000000(abc + bc) * a00 + (bc + c) * b0 + c^2

0000000000atau

0000000000(abc + c) * ab0 + c^2 0000atau

(abc)^2 diuraikan a 00= (a^2) 000000000000* 10^4
000000000000000000ab 0= (2 * a * b) 000000* 10^3
000000000000000000abc0= (2 * a * c + b^2) * 10^2
000000000000000000bc 0= (2 * b * c) 000000* 10
000000000000000000c 00= (c^2)
000000000000000000000000______________________ +

(abcd)^2 = a 000= (a^2) * 10^(2(n-(2.i)/2))
00000000000ab000=
00000000000abc 0=
00000000000abcd = (2 * a * d + 2 * b * c)
0000000000000000000* 10^(2(n - (2.i)/2))
00000000000bcd 0=0
00000000000cd 00=
00000000000d 000=
0000000000000000000___________________________ +
Keterangan :
n = Berapa angka yang ingin dipangkatkan
i = 1 ... (2.n - 1)

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