Bilangan besar: Perbedaan antara revisi
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Baris 23:
<math>\displaystyle {10^ {10^ {10^ {10^ {10^ {1.1 }}}}} tahun}</math>
* <math>10^{10}</math> <small>(10,000,000,000)</small>, disebut "sepuluh miliar" dalam [[bahasa Indonesia]] ([[Skala panjang dan pendek|skala panjang]]) atau "sepuluh biliun" ([[Skala panjang dan pendek|skala pendek]]).
* Seksdesiliar = <math>10^{99}</math> dikenal juga sebagai duotrigintiliun.
Baris 68:
<math>\displaystyle {10 \uparrow \uparrow 10 \uparrow \uparrow (10 \uparrow)^{497}(9,73 \times 10 ^ {32}) = (10 \uparrow \uparrow )^2 (10 \uparrow)^497 (9,73 \times 10 ^ {32}) } </math> berada diantara <math>\displaystyle {10 \uparrow \uparrow \uparrow 4 }</math> dan <math>\displaystyle {10 \uparrow \uparrow \uparrow 5}</math>.
=== Contoh penggunaan ===
Bilangan yang mampu direpresentasikan dengan desimal biasa:
* 2<sup>2</sup> = 4
* 2<sup>22</sup> = 2 ↑↑ 3 = 16
* 3<sup>3</sup> = 27
* 4<sup>4</sup> = 256
* 5<sup>5</sup> = 3,125
* 6<sup>6</sup> = 46,656
* <math> \displaystyle {2 \uparrow \uparrow 4 = 2 \uparrow \uparrow \uparrow 3 = 65.536}</math>
* 7<sup>7</sup> = 823,543
* 10<sup>6</sup> = 1,000,000 = 1 [[Juta]]
* 8<sup>8</sup> = 16,777,216
* 9<sup>9</sup> = 387,420,489
* 10<sup>9</sup> = 1,000,000,000 = 1 [[Miliar]]
* 10<sup>10</sup> = 10,000,000,000
* 10<sup>12</sup> = 1,000,000,000,000 = 1 [[Triliun]]
* <math>\displaystyle {3 \uparrow \uparrow 3 = 3^{27} = 7.625.597.484.987}</math>
* 10<sup>15</sup> = 1,000,000,000,000,000 = 1 Juta miliar = 1 [[kuadriliun]]
* 10<sup>18</sup> = 1,000,000,000,000,000,000 = 1 Miliar miliar = 1 [[kuintiliun]]
Bilangan yang dapat direpresentasikan dengan notasi ilmiah:
* Perkiraan jumlah [[atom]] dalam [[alam semesta teramati]] = 10<sup>80</sup> = 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
* [[googol]] = 10<sup>100</sup> = 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 ,000,000,000,000
* 4<sup>44</sup> = 4 ↑↑ 3 = 2<sup>512</sup> ≈ 1.34 × 10<sup>154</sup> ≈ (10 ↑)<sup>2</sup> 2.2
* Perkiraan jumlah [[Satuan Planck|satuan planck]] yang dibutuhkan untuk mengsi alam semesta teramati = 8.5 × 10<sup>184</sup>
* 5<sup>55</sup> = 5 ↑↑ 3 = 5<sup>3125</sup> ≈ 1.91 × 10<sup>2184</sup> ≈ (10 ↑)<sup>2</sup> 3.3
* 6<sup>66</sup> = 6 ↑↑ 3 ≈ 2.66 × 10<sup>36,305</sup> ≈ (10 ↑)<sup>2</sup> 4.6
* 7<sup>77</sup> = 7 ↑↑ 3 ≈ 3.76 × 10<sup>695,974</sup> ≈ (10 ↑)<sup>2</sup> 5.8
* <math>{\displaystyle 2^{2^{2^{2^{2}}}}=2\uparrow \uparrow 5=2^{65,536}\approx 2.0\times 10^{19,728}\approx (10\uparrow )^{2}4.3}</math>
* 8<sup>88</sup> = 8 ↑↑ 3 ≈ 6.01 × 10<sup>15,151,335</sup> ≈ (10 ↑)<sup>2</sup> 7.2
* <math>{\displaystyle M_{82,589,933}\approx 1.49\times 10^{24,862,047}\approx 10^{10^{7.3955}}=(10\uparrow )^{2}\ 7.3955}</math>, [[Bilangan prima Mersenne|bilangan prima mersenne]] terbesar per [[2021]]
* 9<sup>99</sup> = 9 ↑↑ 3 ≈ 4.28 × 10<sup>369,693,099</sup> ≈ (10 ↑)<sup>2</sup> 8.6
* <math>\displaystyle {10^{10^{10}}= 10 \uparrow \uparrow 3 = 10^{10.000.000.000}= (10 \uparrow)^31}</math>
* <math>{\displaystyle 3^{3^{3^{3}}}=3\uparrow \uparrow 4\approx 1.26\times 10^{3,638,334,640,024}\approx (10\uparrow )^{3}1.10}</math>
== Catatan dan referensi ==
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