{"id":151071,"date":"2022-09-30T07:00:00","date_gmt":"2022-09-30T10:00:00","guid":{"rendered":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/?post_type=eaja&#038;p=151071"},"modified":"2024-03-30T19:33:40","modified_gmt":"2024-03-30T22:33:40","slug":"matematica-potencia-de-10","status":"publish","type":"eaja","link":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/eaja\/matematica-potencia-de-10\/","title":{"rendered":"Matem\u00e1tica &#8211; Um pouco da potencia\u00e7\u00e3o com n\u00fameros naturais"},"content":{"rendered":"\n<p class=\"has-text-align-center has-white-background-color has-background has-medium-font-size\"><strong>Esta proposta de atividade de&nbsp;MATEM\u00c1TICA \u00e9 destinada aos estudantes do 4\u00ba Per\u00edodo (5\u00aa S\u00e9rie)&nbsp;da Educa\u00e7\u00e3o de Jovens e Adultos \u2013 EJA<\/strong>.<\/p>\n\n\n\n<div class=\"wp-block-buttons has-custom-font-size has-small-font-size is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=184ek9JiTpPVtsos8Cb0tQziC4uFZCx60\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE A ATIVIDADE<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=1R9Wgg6UuE_DTgr3OYdLyKKBbSy2pFb-x\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE OS SLIDES<\/a><\/div>\n\n\n\n<div class=\"wp-block-button has-custom-font-size has-medium-font-size\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/drive.google.com\/uc?export=douwnload&amp;id=1PQwFAdpQUmOHBhjFMCQUm5iln6JTDCp4\" target=\"_blank\" rel=\"noreferrer noopener\">BAIXE O TEXTO<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:24% auto\"><figure class=\"wp-block-media-text__media\"><img decoding=\"async\" width=\"180\" height=\"147\" src=\"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-content\/uploads\/2023\/12\/pp-1.png\" alt=\"\" class=\"wp-image-174741 size-full\"\/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>A opera\u00e7\u00e3o de potencia\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A <strong>potencia\u00e7\u00e3o<\/strong>, sendo uma das opera\u00e7\u00f5es essenciais da matem\u00e1tica, \u00e9 empregada na representa\u00e7\u00e3o e c\u00e1lculos de contextos relacionados ao crescimento exponencial (veloz).<\/p>\n\n\n\n<p class=\"has-small-font-size\">Imagem:canva.com\/potencia\u00e7\u00e3o_<a href=\"https:\/\/l1nk.dev\/Kn2Ci\">https:\/\/l1nk.dev\/Kn2Ci<\/a><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Defini\u00e7\u00e3o e elementos da potencia\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Defini\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A <strong>potencia\u00e7\u00e3o<\/strong> \u00e9 uma opera\u00e7\u00e3o matem\u00e1tica que envolve a <strong>eleva\u00e7\u00e3o<\/strong> de um n\u00famero, chamado de <strong>base<\/strong>, a uma certa <strong>pot\u00eancia<\/strong>, representada por um <strong>expoente<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Elementos<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Base:<\/strong> \u00e9 o n\u00famero que est\u00e1 sendo elevado \u00e0 pot\u00eancia.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>Expoente:<\/strong> representa o n\u00famero de vezes que a base \u00e9 multiplicada por ela mesma.<\/li>\n\n\n\n<li class=\"has-medium-font-size\"><strong>Resultado da potencia\u00e7\u00e3o:<\/strong> \u00e9 obtido multiplicando-se a base por ela mesma, repetidas vezes, de acordo com o expoente.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Por exemplo:<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">A) Na express\u00e3o 3<sup>4<\/sup> = 3 x 3 x 3 x 3 = 81<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">3 representa a base,&nbsp;<\/li>\n\n\n\n<li class=\"has-medium-font-size\">4 o expoente e&nbsp;<\/li>\n\n\n\n<li class=\"has-medium-font-size\">81 o resultado da potencia\u00e7\u00e3o (pot\u00eancia).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\">B) Na express\u00e3o 2<sup>5<\/sup> = 2x2x2x2x2 = 32<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">2 representa a base,&nbsp;<\/li>\n\n\n\n<li class=\"has-medium-font-size\">5 o expoente e&nbsp;<\/li>\n\n\n\n<li class=\"has-medium-font-size\">32 o resultado da potencia\u00e7\u00e3o (pot\u00eancia).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Alguns resultados importantes<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Na potencia\u00e7\u00e3o, temos alguns resultados que podem ser destacados.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Pot\u00eancia com expoente zero:<\/strong>&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\">Qualquer n\u00famero elevado ao expoente zero \u00e9 igual a 1.&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Por exemplo: 3<sup>0<\/sup> = 1<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Pot\u00eancia de expoente 1:<\/strong>&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\">Qualquer n\u00famero elevado ao expoente 1 \u00e9 igual a ele mesmo.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Por exemplo: 7<sup>1<\/sup> = 7<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\"><strong>Pot\u00eancia de Base 1:<\/strong>&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\">Uma pot\u00eancia com base 1 ter\u00e1 sempre resultado igual a 1, n\u00e3o importa o expoente.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Por exemplo: 1<sup>53<\/sup> =1<\/p>\n\n\n\n<p class=\"has-vivid-red-color has-text-color has-medium-font-size\"><strong>Duas quest\u00f5es para finalizar<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">1) Determine o resultado exato da express\u00e3o 7<sup>2<\/sup> + 2<sup>0<\/sup> &#8211; 4.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Solu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Resolvendo cada pot\u00eancia:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">7<sup>2<\/sup> = 7 x 7 = 49<\/li>\n\n\n\n<li class=\"has-medium-font-size\">2<sup>0<\/sup> = 1<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\">Finalizando<\/p>\n\n\n\n<p class=\"has-medium-font-size\">7<sup>2<\/sup> + 2<sup>0<\/sup> &#8211; 4 = 49 + 1 &#8211; 4 = 50 &#8211; 4 = 46<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Resposta:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">O resultado da express\u00e3o \u00e9 igual a 46.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">2) Qual deve ser o valor de x na equa\u00e7\u00e3o 2<sup>x<\/sup> = 64.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Solu\u00e7\u00e3o:<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Devemos multiplicar o 2 algumas vezes para obter 64. Vamos por tentativas.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">4 vezes = 2 x 2 x 2 x 2 = 16 (n\u00e3o conv\u00e9m).<\/li>\n\n\n\n<li class=\"has-medium-font-size\">5 vezes = 2 x 2 x 2 x 2 x 2 = 32 (n\u00e3o conv\u00e9m).<\/li>\n\n\n\n<li class=\"has-medium-font-size\">6 vezes = 2 x 2 x 2 x 2 x 2 x 2 = 64 (conv\u00e9m).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Resposta:<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"has-medium-font-size\">O valor de x \u00e9 igual a 6.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">OBS. Existem outras maneiras de se resolver.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">Ficamos por aqui, at\u00e9 o pr\u00f3ximo.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Atividade<\/strong><\/p>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 01<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Suponha que voc\u00ea tenha uma popula\u00e7\u00e3o de bact\u00e9rias que dobra a cada hora. Se a popula\u00e7\u00e3o inicial \u00e9 de 100 bact\u00e9rias, quantas bact\u00e9rias voc\u00ea ter\u00e1 ap\u00f3s 4 horas? Utilize a opera\u00e7\u00e3o de potencia\u00e7\u00e3o para resolver o problema.<\/p>\n\n\n\n<p class=\"has-black-color has-pale-pink-background-color has-text-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 02<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Calcule os valore exatos das seguintes express\u00f5es num\u00e9ricas com potencia\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-medium-font-size\">A) 3<sup>2<\/sup> x 2<sup>3<\/sup> + 8<\/p>\n\n\n\n<p class=\"has-medium-font-size\">B) 18 &#8211; 2<sup>0<\/sup> x 4<sup>2<\/sup>&nbsp;<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 03<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Na equa\u00e7\u00e3o 5<sup>x<\/sup> =125, o valor de x \u00e9 igual a<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) 1<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(B) 2<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(C) 3<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(D) 4<\/p>\n\n\n\n<p class=\"has-pale-pink-background-color has-background has-medium-font-size\"><strong>QUEST\u00c3O 04<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Na express\u00e3o 3<sup>4<\/sup> = 81, podemos afirmar que<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(A) 3 \u00e9 a pot\u00eancia, 4 o expoente e 81 a base.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(B) 3 \u00e9 a base, 4 a pot\u00eancia e 81 o expoente.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(C) 3 \u00e9 o expoente 4 a pot\u00eancia e 81 a base.<\/p>\n\n\n\n<p class=\"has-medium-font-size\">(D) 3 \u00e9 a base, 4 o expoente e 81 a pot\u00eancia.<\/p>\n\n\n\n<p class=\"has-white-color has-vivid-red-background-color has-text-color has-background has-medium-font-size\"><strong>SAIBA MAIS<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">Assista o v\u00eddeo no canal do prof. H\u00e9lio para aprender um pouco mais sobre potencia\u00e7\u00e3o e pot\u00eancia de base 10. S\u00f3 clicar no v\u00eddeo.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<p class=\"responsive-video-wrap clr\"><iframe title=\"Potencia\u00e7\u00e3o\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/pvmS0epZdZ4?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n<\/div><figcaption class=\"wp-element-caption\">Canal do prof. H\u00e9lio &lt;YouTube&gt;<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td>Autoria<\/td><td>Prof. H\u00e9lio Roberto da Rocha, Mestre em Matem\u00e1tica<\/td><\/tr><tr><td>Componente Curricular<\/td><td>Matem\u00e1tica<\/td><\/tr><tr><td>Objetivos de aprendizagem e desenvolvimento<\/td><td>(EJAMA0405)<strong> <\/strong>Conhecer e compreender a opera\u00e7\u00e3o de potencia\u00e7\u00e3o com seus elementos constitutivos.<\/td><\/tr><tr><td>Refer\u00eancias<\/td><td>SOUZA, Joamir Roberto de: Matem\u00e1tica realidade &amp; tecnologia: 6\u00ba ano: ensino fundamental: anos finais \/Joamir Roberto de Souza. \u2013 1. ed. \u2013 S\u00e3o Paulo: FTD, 2018.<br>GIOVANNI J\u00daNIOR, Jos\u00e9 Ruy &#8211; A conquista da matem\u00e1tica: 6\u00b0 ano: ensino fundamental: anos finais \/ Jos\u00e9 Ruy Giovanni J\u00fanior, Benedicto Castrucci. \u2014 4. ed. \u2014 S\u00e3o Paulo: FTD, 2018.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"author":47,"featured_media":174741,"template":"","meta":{"_acf_changed":false,"ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":""},"eaja_categoria":[104],"serie":[74],"eaja_componente":[78],"class_list":["post-151071","eaja","type-eaja","status-publish","has-post-thumbnail","hentry","eaja_categoria-2o-segmento-5a-e-6a-serie","serie-5a-serie","eaja_componente-matematica","entry","has-media"],"acf":[],"_links":{"self":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja\/151071","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja"}],"about":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/types\/eaja"}],"author":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/users\/47"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media\/174741"}],"wp:attachment":[{"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/media?parent=151071"}],"wp:term":[{"taxonomy":"eaja_categoria","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_categoria?post=151071"},{"taxonomy":"serie","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/serie?post=151071"},{"taxonomy":"eaja_componente","embeddable":true,"href":"https:\/\/sme.goiania.go.gov.br\/conexaoescola\/wp-json\/wp\/v2\/eaja_componente?post=151071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}