{"id":1834,"date":"2021-10-08T01:48:42","date_gmt":"2021-10-07T23:48:42","guid":{"rendered":"https:\/\/euclides.ddev.site\/decimal\/"},"modified":"2021-12-10T00:42:45","modified_gmt":"2021-12-09T23:42:45","slug":"decimal","status":"publish","type":"page","link":"https:\/\/euclides.org\/decimal\/","title":{"rendered":"Decimal"},"content":{"rendered":"

El t\u00e9rmino decimal indica una base de diez. El sistema num\u00e9rico que usamos la mayor parte del tiempo se llama sistema num\u00e9rico decimal porque se basa en agrupaciones de diez. \u00abDecimal\u00bb tambi\u00e9n se usa como otro nombre para una fracci\u00f3n decimal y un n\u00famero mixto decimal.<\/p>\n

\u00bfQu\u00e9 es exactamente un decimal?<\/h3>\n

Actualmente se utilizan muchos sistemas de numeraci\u00f3n diferentes, pero el m\u00e1s com\u00fan es el sistema de numeraci\u00f3n decimal. Es una forma de escribir n\u00fameros tal que la posici\u00f3n del n\u00famero indica la potencia de 10 por la que se multiplica el d\u00edgito que ocupa la posici\u00f3n; el poder de 10 adjunto a una posici\u00f3n espec\u00edfica se conoce como el valor posicional. Consulte la figura siguiente.<\/p>\n

<\/figure>\n

Para entender realmente el sistema num\u00e9rico decimal, analicemos el n\u00famero 5613.2297. Lo que esto realmente representa es:<\/p>\n

(10 3 <\/sup>) \u00d7 5 + (10 2 <\/sup>) \u00d7 6 + (10 1 <\/sup>) \u00d7 1 + (10 0 <\/sup>) \u00d7 3 + (10 -1 <\/sup>) \u00d7 2 + (10 -2 <\/sup>) \u00d7 2 + (10 – 3 <\/sup>) \u00d7 9 + (10 -4 <\/sup>) \u00d7 7<\/p>\n

Tenga en cuenta que los d\u00edgitos antes del punto decimal son potencias de 10 (10 n <\/sup>), mientras que los que est\u00e1n despu\u00e9s del punto decimal son rec\u00edprocos <\/a>de potencias de 10 (). Adem\u00e1s, cuanto m\u00e1s a la izquierda est\u00e9 un n\u00famero en el sistema de numeraci\u00f3n decimal, mayor ser\u00e1 su magnitud.<\/p>\n

Si expandimos a\u00fan m\u00e1s la expresi\u00f3n anterior, obtenemos:<\/p>\n

5000 + 600 + 10 + 3 + 0.2 + 0.02 + 0.009 + 0.0007=5613.2297<\/p>\n

Como podemos ver, el sistema de numeraci\u00f3n decimal nos permite expresar n\u00fameros de manera mucho m\u00e1s eficiente. En el caso del sistema de numeraci\u00f3n decimal, la base es 10, pero tambi\u00e9n existen otros sistemas de numeraci\u00f3n posicional que usan una base diferente, como el sistema de numeraci\u00f3n hexadecimal, que usa una base de 16, y el sistema de numeraci\u00f3n binario, que usa una base de 2.<\/p>\n

V\u00e9ase tambi\u00e9n <\/span>fracci\u00f3n decimal <\/a>, n\u00famero mixto decimal, sistema de numeraci\u00f3n decimal <\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"

El t\u00e9rmino decimal indica una base de diez. El sistema num\u00e9rico que usamos la mayor parte del tiempo se llama sistema num\u00e9rico decimal porque se basa en agrupaciones de diez. \u00abDecimal\u00bb tambi\u00e9n se usa como otro nombre para una fracci\u00f3n decimal y un n\u00famero mixto decimal. \u00bfQu\u00e9 es exactamente un decimal? Actualmente se utilizan muchos […]<\/p>\n

Leer m\u00e1s…<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1834","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"\nDecimal - Euclides<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/euclides.org\/decimal\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Decimal - Euclides\" \/>\n<meta property=\"og:description\" content=\"El t\u00e9rmino decimal indica una base de diez. El sistema num\u00e9rico que usamos la mayor parte del tiempo se llama sistema num\u00e9rico decimal porque se basa en agrupaciones de diez. \u00abDecimal\u00bb tambi\u00e9n se usa como otro nombre para una fracci\u00f3n decimal y un n\u00famero mixto decimal. \u00bfQu\u00e9 es exactamente un decimal? 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