43:
498:. When employed between two dates – for example 1225 and 1232 – the expression "1225×1232" means "no earlier than 1225 and no later than 1232".
2803:
421:
Geometric dimension of an object, such as noting that a room is 10 feet × 12 feet in area, where it is usually read as "by" (e.g., "10 feet by 12 feet")
1431:
Multiplicatio speciosa connectit utramque magintudinem propositam cum notâ in vel ×: vel plerumque absque notâ, si magnitudines denotentur unica litera
1526:
672:
on
English-language keyboards, where the arithmetic operations of addition, subtraction, multiplication and division are represented by the keys
564:
Other symbols can also be used to denote multiplication, often to reduce confusion between the multiplication sign × and the common variable
487:). However, the communication of these hybrid names with a Latin letter "x" is common, when the actual "×" symbol is not readily available.
1657:
591:
333:
107:
2118:
79:
1511:
86:
60:
1401:
541:
notation, widely used in mathematics, a multiplication symbol is usually omitted wherever it would not cause confusion: "
31:
126:
93:
364:, where it is used in the context of a mental arithmetic method for computing simple, single-digit multiplications.
2534:
1650:
266:
75:
502:
64:
2874:
534:
is sometimes used in place of the multiplication sign. This is considered incorrect in mathematical writing.
479:
2826:
1292:
2549:
1643:
1530:
225:
509:
1635:
438:
1407:
594:). In algebra, it is a notation to resolve ambiguity (for instance, "b times 2" may be written as
2879:
779:
100:
53:
903:
1615:
1597:
1551:
668:
became the de facto symbol for the multiplication operator. This selection is reflected in the
442:
368:
theorizes that this may have been the original influence for John Napier's more general usage.
2821:
1935:
274:
2848:
2831:
2717:
2292:
1503:
1496:
1297:
654:
610:). This notation is used wherever multiplication should be written explicitly, such as in "
587:
467:
454:
431:
326:
symbol to represent multiplication appears in an anonymous appendix to the 1618 edition of
285:
24:
8:
2838:
2564:
2462:
2352:
1875:
1720:
1690:
473:
296:
289:
525:
2853:
2843:
1470:
1370:
361:
2190:
2133:
1507:
1374:
736:
424:
415:
352:
Multiplication of species connects both proposed magnitudes with the symbol 'in' or
1333:
628:"; this usage is also seen in English-language texts. In some languages, the use of
2579:
2500:
2424:
2084:
1579:
1366:
339:
1403:
A History of
Mathematical Notations, Volume I: Notations in Elementary Mathematics
2810:
2752:
2367:
1422:
758:
356:: or ordinarily without the symbol if the magnitudes be denoted with one letter.
765:
2614:
1792:
1397:
1302:
812:
803:
669:
395:
270:
1445:
2868:
2702:
2322:
2250:
2069:
2046:
1378:
1287:
1103:
643:
513:
495:
405:
240:
2787:
2447:
2205:
2004:
573:
409:
365:
2519:
2265:
2235:
2171:
2156:
2099:
1667:
879:
757:
Some non-English keyboard layouts have it as an explicit keytop, like in
384:
327:
2675:
2477:
2405:
1769:
1671:
996:
427:
in pixels, such as 1920 pixels across × 1080 pixels down. Read as "by".
19:"×" and "Times sign" redirect here. Not to be confused with the letter
1665:
754:
Via the Touch
Keyboard component of the Taskbar (Windows 10 and later)
375:
notation have been identified, but do not stand critical examination.
2815:
2633:
2220:
1890:
1830:
1807:
1735:
843:
629:
491:
42:
2733:
1920:
1905:
851:
662:
2771:
2660:
1845:
569:
538:
450:
399:
299:
155:
1981:
1750:
1498:
New Hart's rules: the handbook of style for writers and editors
1357:
Stallings, L. (2000). "A Brief
History of Algebraic Notation".
1307:
388:
281:
2382:
2337:
1860:
1705:
847:
723:
658:
647:
2027:
703:
699:
314:) which is not a four-fold rotationally symmetric saltire.
822:
707:
743:
Via the Emoji and Symbol input panel, invoked with the
592:
International System of Units#Lexicographic conventions
360:
An earlier use of the symbol from the 1500s appears in
1616:"Unicode Character 'VECTOR OR CROSS PRODUCT' (U+2A2F)"
342:, who used the same symbol in his 1631 algebra text,
307:
292:
industry, to calculate the amount of powered wheels.
199:
20:
751:
key combination (Windows 10 version 1803 and later)
67:. Unsourced material may be challenged and removed.
1598:"Unicode Character 'MULTIPLICATION SIGN' (U+00D7)"
1552:"Unicode Character 'MULTIPLICATION SIGN' (U+00D7)"
1495:
1195:CIRCLED MULTIPLICATION SIGN WITH CIRCUMFLEX ACCENT
453:, the multiplication sign is used in a botanical
2866:
1420:
976:) (a zero-width space indicating multiplication)
572:, the primary symbol for multiplication is the "
418:of two sets, where it is usually read as "cross"
402:, where it is read as "times" or "multiplied by"
999:, may be easier to type than the dot operator)
993:·, ·, ·
601:, to avoid being confused with a value called
1651:
914:
1429:
782:utility: in the eighth row, or by searching
343:
331:
1658:
1644:
728:In the Character Palette by searching for
1502:, Oxford University Press, 2005, p.
1356:
334:Mirifici Logarithmorum Canonis Descriptio
127:Learn how and when to remove this message
2804:Version of this table as a sortable list
1392:
1390:
1388:
1176:MULTIPLICATION SIGN IN RIGHT HALF CIRCLE
586:). This symbol is also used in compound
490:The multiplication sign is also used by
1271:SUPERSET WITH MULTIPLICATION SIGN BELOW
1157:MULTIPLICATION SIGN IN LEFT HALF CIRCLE
940:Other variants and related characters:
691:
483:(a hybrid between two other species of
338:. This appendix has been attributed to
2867:
1396:
1639:
1529:(in German). TypoWiki. Archived from
1385:
1331:
1252:SUBSET WITH MULTIPLICATION SIGN BELOW
412:, where it is usually read as "cross"
2656: ⟨ ⟩
1327:
1325:
1323:
1214:MULTIPLICATION SIGN IN DOUBLE CIRCLE
632:as a multiplication symbol, such as
519:
65:adding citations to reliable sources
36:
13:
1468:
1371:10.1111/j.1949-8594.2000.tb17262.x
1119:MULTIPLICATION SIGN WITH DOT ABOVE
445:, where it is usually read as "by"
434:, where it is usually read as "by"
391:× has a number of uses, including
14:
2891:
1572:
1320:
1138:MULTIPLICATION SIGN WITH UNDERBAR
295:The form is properly a four-fold
766:US International keyboard layout
653:Historically, computer language
642:, is common when the symbol for
269:used to denote the operation of
41:
23:. For the Ed Sheeran album, see
1233:MULTIPLICATION SIGN IN TRIANGLE
1016:⊗, ⊗
52:needs additional citations for
1544:
1519:
1488:
1471:"Cartesian product definition"
1462:
1438:
1414:
1359:School Science and Mathematics
1350:
974:⁢, ⁢
322:The earliest known use of the
1:
1313:
568:. In some countries, such as
1293:List of mathematical symbols
530:The lower-case Latin letter
7:
1281:
371:Two even earlier uses of a
280:The symbol is also used in
10:
2896:
2119:inverted ! and ?
802:key combination using the
523:
480:Crocosmia × crocosmiiflora
317:
306:is similar to a lowercase
302:. The multiplication sign
18:
2799:
2687:
2591:
2535:sound recording copyright
2489:
2394:
2277:
2145:
2058:
1993:
1819:
1679:
1446:"The Big X - Numberphile"
1421:William Oughtred (1667).
915:Unicode and HTML entities
494:for an event between two
211:
206:
185:
180:
153:
146:
141:
526:Multiplication: Notation
510:APL programming language
441:between two explanatory
1406:. Open Court. pp.
1092:VECTOR OR CROSS PRODUCT
958:*, *
661:character set, and the
439:statistical interaction
378:
2652: { }
2644: ( )
2629: « »
2625: ‹ ›
2610: " "
2606: ' '
2602: “ ”
2598: ‘ ’
1430:
1064:HEAVY MULTIPLICATION X
657:was restricted to the
508:symbol is used by the
358:
344:
332:
297:rotationally symmetric
30:. For other uses, see
1338:mathworld.wolfram.com
350:
273:, which results in a
257:), also known as the
76:"Multiplication sign"
2875:Mathematical symbols
2849:Japanese punctuation
2550:registered trademark
2435: |
2293:plus and minus signs
1686:
1527:"Mac Zeichenpalette"
1298:Plus and minus signs
1078:N-ARY TIMES OPERATOR
692:Typing the character
588:units of measurement
549:" can be written as
459:Ceanothus papillosus
200:LATIN SMALL LETTER X
61:improve this article
2839:Chinese punctuation
2565:service mark symbol
2308:multiplication sign
1826: &
1424:Clavis Mathematicae
1332:Weisstein, Eric W.
930:MULTIPLICATION SIGN
730:MULTIPLICATION SIGN
345:Clavis Mathematicae
290:heavy goods vehicle
267:mathematical symbol
251:multiplication sign
170:MULTIPLICATION SIGN
148:Multiplication sign
16:Mathematical symbol
2854:Korean punctuation
2844:Hebrew punctuation
904:UK extended layout
465:(a hybrid between
362:The Ground of Arts
28:(Ed Sheeran album)
2862:
2861:
2191:ordinal indicator
2134:irony punctuation
1580:"Letter Database"
1513:978-0-19-861041-0
912:
911:
737:Microsoft Windows
590:, e.g., N⋅m (see
520:Similar notations
425:Screen resolution
416:Cartesian product
247:
246:
137:
136:
129:
111:
32:Sign of the times
2887:
2811:Currency symbols
2791:
2790:
2784:
2776:
2775:
2774:(paragraph mark)
2768:
2764:
2756:
2755:
2749:
2745:
2737:
2736:
2730:
2722:
2721:
2714:
2706:
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2649:
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2637:
2636:
2630:
2626:
2618:
2617:
2611:
2607:
2603:
2599:
2583:
2582:
2580:trademark symbol
2576:
2568:
2567:
2561:
2553:
2552:
2546:
2538:
2537:
2531:
2523:
2522:
2516:
2514:
2504:
2503:
2501:copyright symbol
2497:
2481:
2480:
2474:
2466:
2465:
2459:
2451:
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2436:
2428:
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2269:
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2254:
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2247:
2239:
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2232:
2224:
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2217:
2209:
2208:
2202:
2194:
2193:
2187:
2183:
2175:
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2168:
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2153:
2137:
2136:
2130:
2122:
2121:
2115:
2111:
2103:
2102:
2096:
2088:
2087:
2085:exclamation mark
2081:
2073:
2072:
2066:
2050:
2049:
2043:
2039:
2031:
2030:
2024:
2020:
2016:
2008:
2007:
2001:
1985:
1984:
1978:
1976:
1973:
1970:
1966:
1963:
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1956:
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1949:
1939:
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1932:
1924:
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1902:
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1857:
1849:
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1811:
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1804:
1796:
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1789:
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1418:
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1411:
1394:
1383:
1382:
1354:
1348:
1347:
1345:
1344:
1334:"Multiplication"
1329:
1276:
1272:
1269:
1266:
1264:
1257:
1253:
1250:
1247:
1245:
1238:
1234:
1231:
1228:
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1212:
1209:
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1200:
1196:
1193:
1190:
1188:
1181:
1177:
1174:
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1169:
1162:
1158:
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1143:
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1136:
1133:
1131:
1124:
1120:
1117:
1114:
1112:
1097:
1093:
1090:
1087:
1085:
1079:
1076:
1073:
1071:
1065:
1062:
1059:
1057:
1051:
1050:MULTIPLICATION X
1048:
1045:
1043:
1036:
1032:
1029:
1026:
1024:
1017:
1013:
1010:
1007:
1005:
994:
990:
987:
984:
982:
975:
971:
968:
966:
959:
955:
952:
949:
947:
935:
931:
928:
925:
923:
836:
831:
718:
714:
696:
695:
688:, respectively.
667:
641:
627:
620:
609:
600:
584:
579:
567:
560:
554:
548:
544:
533:
507:
430:Dimensions of a
374:
355:
347:
340:William Oughtred
337:
325:
313:
305:
284:, in botanical
256:
243:
238:
235:
233:
228:
223:
220:
218:
202:
197:
194:
192:
175:
171:
168:
165:
163:
139:
138:
132:
125:
121:
118:
112:
110:
69:
45:
37:
2895:
2894:
2890:
2889:
2888:
2886:
2885:
2884:
2865:
2864:
2863:
2858:
2795:
2786:
2783: §
2782:
2780:
2770:
2767: ⸿
2766:
2763: ¶
2762:
2760:
2751:
2748: ⌑
2747:
2744: ◊
2743:
2741:
2732:
2729: ☞
2728:
2726:
2720:(hedera, aldus)
2716:
2713: ❧
2712:
2710:
2701:
2698: ‡
2697:
2694: †
2693:
2691:
2683:
2674:
2671: ”
2670:
2668:
2659:
2655:
2651:
2647:
2643:
2641:
2632:
2628:
2624:
2622:
2613:
2609:
2605:
2601:
2597:
2595:
2587:
2578:
2574:
2572:
2563:
2559:
2557:
2548:
2545: ®
2544:
2542:
2533:
2530: ℗
2529:
2527:
2518:
2512:
2510:
2508:
2499:
2496: ©
2495:
2493:
2485:
2476:
2473: ·
2472:
2470:
2461:
2458: •
2457:
2455:
2446:
2443: ‖
2442:
2439: ¦
2438:
2434:
2432:
2423:
2417:
2415:
2413:
2404:
2401: _
2400:
2398:
2390:
2381:
2378: ^
2377:
2375:
2368:minus-plus sign
2366:
2363: ∓
2362:
2360:
2353:plus–minus sign
2351:
2348: ±
2347:
2345:
2336:
2333: ~
2332:
2330:
2321:
2318: ÷
2317:
2315:
2306:
2303: ×
2302:
2300:
2291:
2288: −
2287:
2284: +
2283:
2281:
2273:
2264:
2261: ⌀
2260:
2258:
2249:
2246: °
2245:
2243:
2234:
2231: ‱
2230:
2228:
2219:
2216: ‰
2215:
2213:
2204:
2201: %
2200:
2198:
2189:
2186: ª
2185:
2182: º
2181:
2179:
2170:
2167: №
2166:
2164:
2155:
2152: #
2151:
2149:
2141:
2132:
2129: ⸮
2128:
2126:
2117:
2114: ¿
2113:
2110: ¡
2109:
2107:
2098:
2095: ‽
2094:
2092:
2083:
2080: !
2079:
2077:
2068:
2065: ?
2064:
2062:
2054:
2045:
2042: ⸗
2041:
2038: ⹀
2037:
2035:
2026:
2023: —
2022:
2019: –
2018:
2015: ‒
2014:
2012:
2003:
2000: -
1999:
1997:
1989:
1980:
1974:
1971:
1968:
1964:
1961:
1957:
1954:
1950:
1947:
1945:
1943:
1934:
1931: ⁂
1930:
1928:
1919:
1916: *
1915:
1913:
1904:
1901: …
1900:
1898:
1889:
1886: \
1885:
1883:
1874:
1871: /
1870:
1868:
1859:
1856: ^
1855:
1853:
1844:
1841: @
1840:
1838:
1829:
1825:
1823:
1815:
1806:
1803: .
1802:
1800:
1791:
1788: ‴
1787:
1784: ″
1783:
1780: ′
1779:
1777:
1768:
1765: '
1764:
1761: ’
1760:
1758:
1749:
1746: ‐
1745:
1743:
1734:
1731: ;
1730:
1728:
1719:
1716: :
1715:
1713:
1704:
1701: ,
1700:
1698:
1689:
1685:
1683:
1675:
1664:
1633:
1624:
1622:
1620:Fileformat.info
1614:
1606:
1604:
1602:Fileformat.info
1596:
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1575:
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1556:Fileformat.info
1550:
1549:
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1536:
1534:
1525:
1524:
1520:
1514:
1494:
1493:
1489:
1479:
1477:
1469:Nykamp, Duane.
1467:
1463:
1454:
1452:
1444:
1443:
1439:
1419:
1415:
1398:Cajori, Florian
1395:
1386:
1355:
1351:
1342:
1340:
1330:
1321:
1316:
1284:
1274:
1270:
1267:
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1236:
1232:
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1224:
1223:
1217:
1213:
1210:
1205:
1204:
1198:
1194:
1191:
1186:
1185:
1179:
1175:
1172:
1167:
1166:
1160:
1156:
1153:
1148:
1147:
1141:
1137:
1134:
1129:
1128:
1122:
1118:
1115:
1110:
1109:
1106:of two vectors)
1098:) (intended to
1095:
1091:
1088:
1083:
1082:
1077:
1074:
1069:
1068:
1063:
1060:
1055:
1054:
1049:
1046:
1041:
1040:
1034:
1030:
1027:
1022:
1021:
1015:
1011:
1008:
1003:
1002:
992:
988:
985:
980:
979:
973:
970:INVISIBLE TIMES
969:
964:
963:
957:
953:
950:
945:
944:
933:
929:
926:
921:
920:
917:
901:
897:
893:
888:
885:
882:
875:
872:
869:
865:
861:
834:
829:
801:
798:
795:
792:
788:
775:
771:
759:Arabic keyboard
750:
746:
716:
712:
694:
687:
683:
679:
675:
665:
633:
622:
611:
607:
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1012:CIRCLED TIMES
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50:This article
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2827:Math symbols
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2448:vertical bar
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2206:percent sign
2005:hyphen-minus
1632:
1623:. Retrieved
1619:
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1583:
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1555:
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1531:the original
1521:
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1475:Math Insight
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117:January 2017
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2869:Categories
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2406:underscore
1770:apostrophe
1670:and other
1625:2017-01-13
1607:2017-01-13
1589:2017-01-13
1561:2017-01-13
1537:2009-10-09
1480:August 26,
1455:2024-07-07
1343:2020-08-26
1314:References
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539:algebraic
485:Crocosmia
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1400:(1928).
1282:See also
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