Contents 1 Anthropology 1.1 Usage and terms 1.2 Other 2 In mathematics 2.1 In numeral systems 2.1.1 Decimal system 2.1.2 Roman numerals 2.1.3 Positional numeral systems other than decimal 3 List of basic calculations 4 In science 4.1 Astronomy 5 In religion and philosophy 6 In money 7 In music 8 In sports and games 9 In technology 10 In other fields 11 See also 12 References 13 External links


Anthropology[edit] Usage and terms[edit] A collection of ten items (most often ten years) is called a decade. The ordinal adjective is decimal; the distributive adjective is denary. Increasing a quantity by one order of magnitude is most widely understood to mean multiplying the quantity by ten. To reduce something by one tenth is to decimate. (In ancient Rome, the killing of one in ten soldiers in a cohort was the punishment for cowardice or mutiny; or, one-tenth of the able-bodied men in a village as a form of retribution, thus causing a labor shortage and threat of starvation in agrarian societies.) A theoretical highest number in topics that require a rating ("a mark out of ten"), by contrast having 0 or 1 as the lowest number, and 5 being average. Other[edit] The number of kingdoms in Five Dynasties and Ten Kingdoms period. The house number of 10 Downing Street. The number of Provinces in Canada. The designation of United States Interstate 10, a freeway that runs from California to Florida. Number of dots in a tetractys. The number of the French department Aube. The number of regions in Ghana. The state number of Virginia. The number in tarot decks that corresponds to either Chance, Fortune, or the Wheel of Fortune, depending on the deck variant.


In mathematics[edit] Ten is a composite number, its proper divisors being 1, 2 and 5. Ten is the smallest noncototient, a number that cannot be expressed as the difference between any integer and the total number of coprimes below it.[1] Ten is the second discrete semiprime (2 × 5) and the second member of the (2 × q) discrete semiprime family. Ten has an aliquot sum σ(n) of 8 and is accordingly the first discrete semiprime to be in deficit. All subsequent discrete semiprimes are in deficit. The aliquot sequence for 10 comprises five members (10,8,7,1,0) with this number being the second composite member of the 7-aliquot tree. Ten is the smallest semiprime that is the sum of all the distinct prime numbers from its lower factor through its higher factor (10 = 2 + 3 + 5 = 2 . 5) Only three other small semiprimes (39, 155, and 371) share this attribute. Ten is a semi-meandric number. Ten is the sum of the first three prime numbers, of the four first positive integers (1 + 2 + 3 + 4), of the square of the two first odd numbers and also of the first four factorials (0! + 1! + 2! + 3!). Ten is the eighth Perrin number, preceded in the sequence by 5, 5, 7. A polygon with ten sides is a decagon, and 10 is a decagonal number.[2] Because 10 is the product of a power of 2 (namely 21) with nothing but distinct Fermat primes (specifically 5), a regular decagon is a constructible polygon. Ten is also a triangular number, a centered triangular number,[3] and a tetrahedral number.[4] Ten is the number of n queens problem solutions for n = 5. Ten is the smallest number whose status as a possible friendly number is unknown. In numeral systems[edit] Decimal system[edit] Main article: Decimal As is the case for any base in its system, ten is the first two-digit number in decimal and thus the lowest number where the position of a numeral affects its value. Any integer written in the decimal system can be multiplied by ten by adding a zero to the end (e.g. 855 × 10 = 8550). Roman numerals[edit] The Roman numeral for ten is X (which looks like two Vs [the Roman numeral for 5] put together); it is thought that the V for five is derived from an open hand (five digits displayed), and X for ten from both hands. Incidentally, the Chinese word numeral for ten, is also a cross: 十. Positional numeral systems other than decimal[edit] The digit '1' followed by '0' is how the value of p is written in base p. (E.g. 16 in hexadecimal is 10.) Representation of 10 in other bases Base Numeral system Number 1 unary ********** 2 binary 1010 3 ternary 101 4 quaternary 22 5 quinary 20 6 senary 14 7 septenary 13 8 octal 12 9 novenary 11 10 decimal 10 12 duodecimal X 16 hexadecimal A


List of basic calculations[edit] Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 25 50 100 1000 10 × x 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 250 500 1000 10000 Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 10 ÷ x 10 5 3.3 2.5 2 1.6 1.428571 1.25 1.1 1 0.90 0.83 0.769230 0.714285 0.6 x ÷ 10 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 Exponentiation 1 2 3 4 5 6 7 8 9 10 10x 10 100 1000 10000 100000 1000000 10000000 100000000 1000000000 10000000000 x10 1 1024 59049 1048576 9765625 60466176 282475249 1073741824 3486784401 10000000000


In science[edit] The SI prefix for 10 is "deca-". The meaning "10" is part of the following terms: decapoda, an order of crustaceans with ten feet decane, a hydrocarbon with 10 carbon atoms Also, the number 10 plays a role in the following: The atomic number of neon. The number of hydrogen atoms in butane, a hydrocarbon. The number of spacetime dimensions in some superstring theories. The metric system is based on the number 10, so converting units is done by adding or removing zeros (e.g. 1 centimeter = 10 millimeters, 1 decimeter = 10 centimeters, 1 meter = 100 centimeters, 1 dekameter = 10 meters, 1 kilometer = 1,000 meters). Astronomy[edit] The New General Catalogue object NGC 10, a magnitude 12.5 spiral galaxy in the constellation Sculptor. Messier object M10, a magnitude 6.4 globular cluster in the constellation Ophiuchus.


In religion and philosophy[edit] The tetractys References in the Bible, Judaism and Christianity: The Ten Commandments of Exodus[5] and Deuteronomy[6] are considered a cornerstone of Judaism and Christianity. People traditionally tithed one-tenth of their produce. The practice of tithing is still common in Christian churches today, though it is disputed in some circles as to whether or not it is required of Christians. In Deuteronomy 26:12, the Torah commands Jews to give one-tenth of their produce to the poor (Maaser Ani). From this verse and from an earlier verse (Deut. 14:22) there derives a practice for Jews to give one-tenth of all earnings to the poor.[7] Ten Plagues were inflicted on Egypt in Exodus 7-12. Jews observe the annual Ten Days of Repentance beginning on Rosh Hashanah and ending on Yom Kippur. In Jewish liturgy, Ten Martyrs are singled out as a group. There are said to be Ten Lost Tribes of Israel (those other than Judah and Benjamin). There are Ten Sephirot in the Kabbalistic Tree of Life. In Judaism, ten men are the required quorum, called a minyan, for prayer services. Interpretations of Genesis in Talmudic and Midrashic teachings suggest that on the first day, God drew forth ten primal elements from the abyss in order to construct all of Creation: Heaven (or Fire), Earth, Chaos, Void, Light, Darkness, Wind (or Spirit), Water, Day, and Night. See also Bereshit (parsha). Jesus tells the Parable of the Ten Virgins in Matthew 25:1-13. In Pythagoreanism, the number 10 played an important role and was symbolized by the tetractys. In Hinduism, Lord Vishnu appeared on the earth in 10 incarnations.


In money[edit] Most countries issue coins and bills with a denomination of 10 (See e.g. 10 dollar note). Of these, the U.S. dime, with the value of ten cents, or one tenth of a dollar, derives its name from the meaning "one-tenth" − see Dime (United States coin)#Denomination history and etymology.


In music[edit] The interval of a major tenth is an octave plus a major third. The interval of a minor tenth is an octave plus a minor third. The title of quite a few albums. See Ten (album). "Ten lords a-leaping" is the gift on the tenth day of Christmas in the carol "The Twelve Days of Christmas".


In sports and games[edit] Decathlon is a combined event in athletics consisting of ten track and field events. In association football, the number 10 is traditionally worn by the team's advanced playmaker. This use has led to "Number 10" becoming a synonym for the player in that particular role, even if he or she does not wear that number.[8] In auto racing, driving a car at ten-tenths is driving as fast as possible, on the limit. In blackjack, the Ten, Jack, Queen and King are all worth 10 points. In boxing, if the referees counts to 10 whether the boxer is unconscious or not, it will declare a winner by knockout. In most rugby league competitions, the number 10 is worn by one of the two starting props. One exception to this rule is the European Super League, which uses static squad numbering. In rugby union, the starting fly-half wears the 10 shirt. In ten-pin bowling, 10 pins are arranged in a triangular pattern and there are 10 frames per game.


In technology[edit] Ten-codes are commonly used on emergency service radio systems. Ten refers to the "meter band" on the radio spectrum between 28 and 29.7 MHz, used by amateur radio. ASCII and Unicode code point for line feed. In MIDI, Channel 10 is reserved for unpitched percussion instruments. In the Rich Text Format specification, all language codes for regional variants of the Spanish language are congruent to 10 mod 256. In macOS, the F10 function key tiles all the windows of the current application and grays the windows of other applications. The IP addresses in the range 10.0.0.0/8 (meaning the interval between 10.0.0.0 and 10.255.255.255) is reserved for use by private networks by RFC 1918.


In other fields[edit] 10 playing cards of all four suits Blake Edwards' 1979 movie 10. Series on HBO entitled 1st & Ten which aired between December 1984 and January 1991. Series on ESPN and ESPN2 entitled 1st and 10 which launched on ESPN in October 2003 to 2008 and moved to ESPN2 from 2008 to present. In astrology, Capricorn is the 10th astrological sign of the Zodiac. In Chinese astrology, the 10 Heavenly Stems, refer to a cyclic number system that is used also for time reckoning. A 1977 short documentary film Powers of Ten depicts the relative scale of the Universe in factors of ten (orders of magnitude). CBS has a game show called Power of 10, where the player's prize goes up and down by either the previous or next power of ten. "Ten Chances" is one of the pricing games on The Price is Right. There are ten official inkblots in the Rorschach inkblot test. The traditional Snellen chart uses 10 different letters. Ten is an Australian television network. The Sydney member of the network has the three-letter call-sign TEN and used to broadcast in analogue on VHF Channel 10. Number Ten (also called Ella) is a character in the book series Lorien Legacies. The sixth book, The Fate of Ten, is named after her. The ten-code may be used in law enforcement brevity communications.


See also[edit] Mathematics portal


References[edit] ^ "Sloane's A005278 : Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.  ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.  ^ "Sloane's A005448 : Centered triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.  ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.  ^ Exodus 20:2-13 ^ Deuteronomy 5:6-17 ^ [1] Archived February 23, 2006, at the Wayback Machine. ^ Khalil Garriot (21 June 2014). "Mystery solved: Why do the best soccer players wear No. 10?". Yahoo. Retrieved 19 May 2015. 


External links[edit] Wikimedia Commons has media related to 10 (number). Look up ten in Wiktionary, the free dictionary. v t e Integers 0s  0   1   2   3   4   5   6   7   8   9  10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100s 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200s 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300s 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400s 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500s 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600s 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700s 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800s 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900s 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 Retrieved from "https://en.wikipedia.org/w/index.php?title=10&oldid=820039206" Categories: Integers10 (number)Hidden categories: Webarchive template wayback linksArticles with hAudio microformatsArticles including recorded pronunciations (English)Articles containing Chinese-language text


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