\u00a1Claro! Vamos a responder cada afirmaci\u00f3n y luego te doy una explicaci\u00f3n completa.<\/p>\n\n\n\n
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a) Todo n\u00famero entero es un n\u00famero racional.<\/strong> b) Entre dos n\u00fameros enteros cualesquiera, existe siempre otro n\u00famero entero.<\/strong> c) El conjunto de los n\u00fameros racionales y el de los n\u00fameros irracionales son disjuntos (conjuntos disjuntos son los que no tienen elementos comunes).<\/strong> d) El conjunto de los n\u00fameros racionales es la raz\u00f3n entre dos n\u00fameros enteros, con el denominador diferente de cero.<\/strong> a) Todo n\u00famero entero es un n\u00famero racional.<\/strong> b) Entre dos n\u00fameros enteros cualesquiera, existe siempre otro n\u00famero entero.<\/strong> c) El conjunto de los n\u00fameros racionales y el de los irracionales son disjuntos.<\/strong> d) El conjunto de los n\u00fameros racionales es la raz\u00f3n entre dos n\u00fameros enteros, con el denominador diferente de cero.<\/strong> \u00bfTe gustar\u00eda que convierta esta informaci\u00f3n en un formato para imprimir o estudiar?<\/p>\n\n\n\n ( ) falso ( ) b) Entre dos n\u00fameros enteros cualesquiera, existe siempre otro n\u00famero entero. verdadero ( ) falso ( ) c) El conjunto de los n\u00fameros racionales y el de los n\u00fameros iracionales son disjuntos (conjuntos disjuntos son los que no tienen elementos comunes). verdadero( ) falso( ) d) El conjunto de los […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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\u2705 Verdadero<\/strong><\/p>\n\n\n\n
\u274c Falso<\/strong><\/p>\n\n\n\n
\u2705 Verdadero<\/strong><\/p>\n\n\n\n
\u2705 Verdadero<\/strong><\/p>\n\n\n\n
\n\n\n\nExplicaci\u00f3n<\/h3>\n\n\n\n
Esto es verdadero<\/strong> porque los n\u00fameros racionales son aquellos que pueden expresarse como el cociente de dos n\u00fameros enteros, es decir, ab\\frac{a}{b}, donde aa y bb son enteros y b\u22600b \\neq 0. Cualquier n\u00famero entero, como el 5, puede escribirse como 51\\frac{5}{1}, lo cual cumple con esta definici\u00f3n.<\/p>\n\n\n\n
Esto es falso<\/strong>. Si tomamos dos enteros consecutivos, como 4 y 5, no hay ning\u00fan n\u00famero entero entre ellos. S\u00ed existen n\u00fameros racionales o decimales<\/strong> entre ellos, pero no enteros<\/strong>. Por lo tanto, entre dos enteros consecutivos<\/strong> no hay otro entero.<\/p>\n\n\n\n
Esto es verdadero<\/strong>. Los n\u00fameros racionales y los irracionales son dos conjuntos distintos. Un n\u00famero irracional<\/strong> no puede escribirse como el cociente de dos enteros, y un racional s\u00ed<\/strong>. Por ejemplo, 2\\sqrt{2} es irracional, y 12\\frac{1}{2} es racional. No hay ning\u00fan n\u00famero que sea a la vez racional e irracional.<\/p>\n\n\n\n
Esto es verdadero<\/strong>. Esta es precisamente la definici\u00f3n de n\u00famero racional: cualquier n\u00famero que se puede expresar como ab\\frac{a}{b} donde aa y bb son enteros, y b\u22600b \\neq 0.<\/p>\n\n\n\n
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