{"id":1714,"date":"2021-09-02T10:20:51","date_gmt":"2021-09-02T10:20:51","guid":{"rendered":"http:\/\/stgwebsite.mindspark.in\/wordpress\/?page_id=1714"},"modified":"2021-09-02T10:21:36","modified_gmt":"2021-09-02T10:21:36","slug":"real-numbers","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/ncert-solutions-class-9-maths\/real-numbers\/","title":{"rendered":"Real Numbers 9th"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#e0f2fd&#8221; z_index=&#8221;1&#8243; custom_padding=&#8221;5px||5px||true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_5,2_5&#8243; custom_padding_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_enable_color=&#8221;off&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|40px|0px|40px|false|true&#8221; custom_padding_tablet=&#8221;&#8221; custom_padding_phone=&#8221;|15px|25px|15px|false|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_5&#8243; admin_label=&#8221;Column L&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Chapter -1 Real Numbers<br \/>\n&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;left&#8221; header_font_size=&#8221;50px&#8221; header_line_height=&#8221;1.18em&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; header_font_size_tablet=&#8221;&#8221; header_font_size_phone=&#8221;35px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Chapter -1 <span class=\"textstylM\">Real Numbers<\/span><\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Introduction&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; custom_padding=&#8221;|15px||4px|false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"over1\">\n<h1>Introduction<\/h1>\n<\/div>\n<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.<\/p>\n<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.<\/p>\n<p>Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.<\/p>\n<p><span class=\"redline\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/Comments-on-NCERT-study-materials_part-2.pdf\" download>Click here to download the NCERT Solution for Class 10 Maths Chapter 1 Real Numbers<\/a><\/span>[\/et_pb_text][et_pb_text admin_label=&#8221;View Exercises&#8221; module_id=&#8221;view-exercise&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; custom_margin=&#8221;||||false|false&#8221; custom_padding=&#8221;||||false|false&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>View Exercises<\/h1>\n<div class=\"manage\" data-name=\"exercise1\">\n<div class=\"textmanage\">\n<div class=\"oneh1\">Exercise 1.1<\/div>\n<div class=\"twoh2\">View<\/div>\n<\/div>\n<\/div>\n<div class=\"manage\" data-name=\"exercise2\">\n<div class=\"textmanage\">\n<div class=\"oneh1\">\n<p>Exercise 1.2<\/p>\n<\/div>\n<p><span class=\"dbtnh\"><\/span><br \/><a class=\"btna01\" href=\"#\"><\/a><\/p>\n<div class=\"twoh2\">View<\/div>\n<\/div>\n<\/div>\n<div class=\"manage\" data-name=\"exercise3\">\n<div class=\"textmanage\">\n<div class=\"oneh1\">\n<p>Exercise 1.3<\/p>\n<\/div>\n<p><span class=\"dbtnh\"><\/span><br \/><a class=\"btna01\" href=\"#\"><\/a><\/p>\n<div class=\"twoh2\">View<\/div>\n<\/div>\n<\/div>\n<div class=\"manage\" data-name=\"exercise4\">\n<div class=\"textmanage\">\n<div class=\"oneh1\">\n<p>Exercise 1.4<\/p>\n<\/div>\n<p><span class=\"dbtnh\"><\/span><br \/><a class=\"btna01\" href=\"#\"><\/a><\/p>\n<div class=\"twoh2\">View<\/div>\n<\/div>\n<\/div>\n<div class=\"manage\" data-name=\"exercise5\">\n<div class=\"textmanage\">\n<div class=\"oneh1\">\n<p>Exercise 1.5<\/p>\n<\/div>\n<p><span class=\"dbtnh\"><\/span><br \/><a class=\"btna01\" href=\"#\"><\/a><\/p>\n<div class=\"twoh2\">View<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Important questions and answers&#8221; module_id=&#8221;imporatnt-qa&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div id=\"hide01\">\n<div class=\"over\">\n<h1>Important questions and answers<\/h1>\n<\/div>\n<p><!-- ====================EXERCISE 1.1================== --><\/p>\n<div class=\"exercisemain exercise1 active\">\n<h1 class=\"emanagement \">Exercise 1.1<button class=\"downbtn\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/Comments-on-NCERT-study-materials_part-2.pdf\">Download<\/a><\/button><\/h1>\n<div class=\"question\">\n<p><b>1. Use the figure to name:<\/b><\/p>\n<p><img decoding=\"async\" class=\"imgstyl\" src=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/fig1.png\" \/><br \/><b>(a)<\/b> Five points<\/p>\n<div class=\"display-all-ans\"><b>Answer:<\/b> O,B,C,D,E<br \/>In the given figure, five points are marked as O,B,C,D and E.<br \/><b>(b)<\/b> A line<br \/><b>Answer:<\/b> DE, DO, DB, EB, EO, OB<br \/><b>2. State whether the below statement is true or false.<\/b><br \/><b>(a)<\/b> Zero is the smallest natural number.<br \/><b>A.<\/b> False <b>B.<\/b>True<br \/><b>Answer:<\/b> True<br \/><b>(b)<\/b> The distance between Earth and Moon is 384,000,000 m.<br \/>This value can be expressed in standard form as<br \/><b>A.<\/b>3.80 \u00d7 108 m <b>B.<\/b>380 \u00d7 108 m<br \/><b>C.<\/b>3.84 \u00d7 107 m <b>D.<\/b>3.84 \u00d7 108 m<br \/><b>Answer:<\/b> 3.84 \u00d7 108 m<\/div>\n<p><button id=\"show-full-answers\" class=\"active \">Show Answers<\/button><\/p>\n<\/div>\n<\/div>\n<p><!-- ====================EXERCISE 1.2================== --><\/p>\n<div class=\"exercisemain exercise2\">\n<h1 class=\"emanagement \">Exercise 1.2<button class=\"downbtn\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/geometry.png\">Download<\/a><\/button><\/h1>\n<div class=\"question\">\n<p><b>1. Answer the following<\/b><\/p>\n<p><b>(a)<\/b> Represent the following situation as integers with appropriate signs (+ OR \u2212).<br \/>________(-2000\/+2000)<\/p>\n<div class=\"display-all-ans\"><b>Answer:<\/b> +2000<br \/><b>(b)<\/b> Draw rough diagrams of two angles such that they have one point in common.<br \/><b>Answer:<\/b><img decoding=\"async\" class=\"imgstyl\" src=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/ex1.2-ba.png\" \/><\/div>\n<p><button id=\"show-full-answers\" class=\"active \">Show Answers<\/button><\/p>\n<\/div>\n<\/div>\n<p><!-- ====================EXERCISE 1.3================== --><\/p>\n<div class=\"exercisemain exercise3\">\n<h1 class=\"emanagement \">Exercise 1.3<button class=\"downbtn\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/Comments-on-NCERT-study-materials_part-2.pdf\">Download<\/a><\/button><\/h1>\n<div class=\"question\">\n<p><b>Demo content<\/b><br \/><b>1. Answer the following<\/b><\/p>\n<p><b>(a)<\/b> Represent the following situation as integers with appropriate signs (+ OR \u2212).<br \/>________(-2000\/+2000)<\/p>\n<div class=\"display-all-ans\"><b>Answer:<\/b> +2000<br \/><b>(b)<\/b> Draw rough diagrams of two angles such that they have one point in common.<br \/><b>Answer:<\/b><img decoding=\"async\" class=\"imgstyl\" src=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/ex1.2-ba.png\" \/><\/div>\n<p><button id=\"show-full-answers\" class=\"active \">Show Answers<\/button><\/p>\n<\/div>\n<\/div>\n<p><!-- ====================EXERCISE 1.4================== --><\/p>\n<div class=\"exercisemain exercise4\">\n<h1 class=\"emanagement \">Exercise 1.4<button class=\"downbtn\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/Comments-on-NCERT-study-materials_part-2.pdf\">Download<\/a><\/button><\/h1>\n<div class=\"question\">\n<p><b>Demo content<\/b><\/p>\n<p><b>1. Answer the following<\/b><\/p>\n<p><b>(a)<\/b> Represent the following situation as integers with appropriate signs (+ OR \u2212).<br \/>________(-2000\/+2000)<\/p>\n<div class=\"display-all-ans\"><b>Answer:<\/b> +2000<br \/><b>(b)<\/b> Draw rough diagrams of two angles such that they have one point in common.<br \/><b>Answer:<\/b><img decoding=\"async\" class=\"imgstyl\" src=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/ex1.2-ba.png\" \/><\/div>\n<p><button id=\"show-full-answers\" class=\"active \">Show Answers<\/button><\/p>\n<\/div>\n<\/div>\n<p><!-- ====================EXERCISE 1.5================== --><\/p>\n<div class=\"exercisemain exercise5\">\n<h1 class=\"emanagement \">Exercise 1.5<button class=\"downbtn\"><a class=\"otp01\" href=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/Comments-on-NCERT-study-materials_part-2.pdf\">Download<\/a><\/button><\/h1>\n<div class=\"question\">\n<p><b>Demo content<\/b><\/p>\n<p><b>1. Answer the following<\/b><\/p>\n<p><b>(a)<\/b> Represent the following situation as integers with appropriate signs (+ OR \u2212).<br \/>________(-2000\/+2000)<\/p>\n<div class=\"display-all-ans\"><b>Answer:<\/b> +2000<br \/><b>(b)<\/b> Draw rough diagrams of two angles such that they have one point in common.<br \/><b>Answer:<\/b><img decoding=\"async\" class=\"imgstyl\" src=\"http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/ex1.2-ba.png\" \/><\/div>\n<p><button id=\"show-full-answers\" class=\"active \">Show Answers<\/button><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;2_5&#8243; module_id=&#8221;stickysideR&#8221; admin_label=&#8221;Column R&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fdefe0&#8243; z_index=&#8221;0&#8243; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; sticky_position=&#8221;top&#8221; sticky_offset_top=&#8221;-280px&#8221; sticky_limit_bottom=&#8221;row&#8221; sticky_offset_surrounding=&#8221;off&#8221; sticky_transition=&#8221;off&#8221; scroll_vertical_motion=&#8221;0|2|2|100|0|0|3.5&#8243; sticky_position_tablet=&#8221;none&#8221; sticky_position_phone=&#8221;none&#8221; sticky_position_last_edited=&#8221;on|desktop&#8221; sticky_limit_bottom_tablet=&#8221;&#8221; sticky_limit_bottom_phone=&#8221;&#8221; sticky_limit_bottom_last_edited=&#8221;on|phone&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;http:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/7-days-week-free-trial.jpg&#8221; title_text=&#8221;7-days-week-free-trial&#8221; url=&#8221;https:\/\/mindspark.in\/free-trial&#8221; align=&#8221;center&#8221; module_class=&#8221;adsimg&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;||||false|false&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221; transform_styles__hover_enabled=&#8221;on|hover&#8221; transform_scale__hover_enabled=&#8221;on|hover&#8221; transform_translate__hover_enabled=&#8221;on|desktop&#8221; transform_rotate__hover_enabled=&#8221;on|desktop&#8221; transform_skew__hover_enabled=&#8221;on|desktop&#8221; transform_origin__hover_enabled=&#8221;on|desktop&#8221; transform_scale__hover=&#8221;102%|102%&#8221;][\/et_pb_image][et_pb_text admin_label=&#8221;Explore \u2013 All Chapters<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Explore &#8211; All Chapters<\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;All chapters&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 1 &#8211; Real Numbers<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 2 &#8211; Polynomials<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 3 &#8211; Triangles<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 4 -Arithmetic Progression<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 7 &#8211; Real Numbers<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 8 &#8211; Polynomials<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 9 &#8211; Real Numbers<\/a><\/div>\n<div class=\"trr\"><a href=\"#\" class=\"otherc\">Chapter 10 &#8211; Polynomials<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.10.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.10.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_divider show_divider=&#8221;off&#8221; _builder_version=&#8221;4.10.2&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chapter -1 Real Numbers Introduction Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":685,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Real Numbers 9th - mydomain<\/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:\/\/stgwebsite.mindspark.in\/studymaterial\/ncert-solutions-class-9-maths\/real-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Real Numbers 9th - mydomain\" \/>\n<meta property=\"og:description\" content=\"Chapter -1 Real Numbers Introduction Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. 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