Here the arrangement is from a smaller number to a larger number.<\/span><\/p>\n It is also known as increasing order. The first number is the lowest and the last number is the highest.<\/span><\/p>\n It is similar to climbing up the stairs. As we move forward, our height from the ground keeps on increasing.<\/span><\/span><\/p>\n <\/span><\/p>\n <\/p>\n When we arrange numbers such that we find smaller values as we move forward, it is known as the descending order of numbers.<\/span><\/p>\n Here the arrangement is from a larger number to a smaller number.<\/span><\/p>\n It is also known as decreasing order. The first number is the largest and the last number is the lowest<\/span><\/p>\n It is similar to climbing down the stairs. As we move forward, our height from the ground keeps on decreasing.<\/span><\/p>\n <\/span><\/p>\n <\/strong><\/p>\n Ascending order<\/strong><\/p>\n The symbol \u201c<\u201d is used in-between numbers in ascending order.<\/span> <\/span><\/p>\n Descending order<\/strong><\/p>\n The symbol \u201c>\u201d is used in-between numbers in descending order.<\/span> <\/p>\n The absolute value of a negative number is its value without the negative sign. For arranging negative numbers in ascending we have to refer to their absolute values.<\/span><\/p>\n The negative number having a greater absolute value is less than the negative number having a smaller absolute value. This implies greater the absolute value, the smaller is the negative number.<\/span><\/p>\n <\/span><\/p>\n Examples:<\/strong><\/p>\n The absolute value of (-1) is 1 and the absolute value of (-2) is 2.<\/span><\/p>\n 2 is greater than 1.<\/span><\/p>\n The greater is the absolute value, the smaller is the negative number.<\/span><\/p>\n Hence (-1) is greater than (-2).<\/span><\/span><\/p>\n 2. (-1) > (-3) > (-7)<\/span><\/p>\n <\/p>\n Case-1:<\/b><\/p>\n When the denominator of the fractions is the same.<\/span><\/p>\n In a group of fractions having the same denominators, the fraction having the greater numerator is the greater one and vice-versa.<\/span><\/p>\n Example:<\/b><\/p>\n\\frac{1}{7}, \\frac{6}{7}, \\frac{9}{7}<\/span>\n The given fractions have the same denominators.<\/span> <\/span><\/b><\/p>\n Case-2:<\/b>\u00a0<\/span><\/p>\n When the denominator of the fractions is different.<\/span><\/p>\n In a group of fractions having different denominators, we have to convert them into like fractions first and then arrange them in the increasing order of their numerators.\u00a0<\/span><\/p>\n Example:<\/b><\/p>\n \\frac{1}{2}, \\frac{2}{3}, \\frac{1}{6}<\/span><\/b><\/p>\n The given fractions have different denominators. Hence we have to convert them into like fractions.<\/span><\/p>\n LCM of 2, 3 and 6 = 6\u00a0<\/span><\/p>\n \\frac{1}{2}=\\frac{1 \\times 3}{2 \\times 3}=\\frac{3}{6} <\/span><\/span><\/p>\n\\frac{2}{3}=\\frac{2 \\times 2}{3 \\times 2}=\\frac{4}{6}<\/span>\n \\frac{1}{6}=\\frac{1 \\times 1}{6 \\times 1}=\\frac{1}{6}<\/span><\/span><\/p>\n Since 1 < 3 < 4, we can say that \\frac{1}{6}<\\frac{3}{6}<\\frac{4}{6}<\/span>.<\/span><\/p>\n Hence \\frac{1}{6}<\\frac{1}{2}<\\frac{2}{3}<\/span>.<\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n <\/b><\/p>\n 1. Arrange 1,5,3,9,2 and 10 in ascending order first and then in descending order also.<\/b><\/p>\n Ascending order<\/span><\/p>\n 1 < 2 < 3 < 5 < 9 < 10<\/span><\/p>\n Descending order<\/span><\/p>\n 10 > 9 > 5 > 3 > 2 > 1<\/span><\/p>\n <\/span><\/p>\n 2. Vickey, Mohit, Ashok and Rahul secured 80%, 98%, 95% and 85% respectively in the final exams. Arrange their marks in ascending order. Who scored the highest among all four boys?\u00a0<\/b><\/p>\n Marks of Vickey = 80%<\/span><\/p>\n Marks of Mohit = 98%<\/span><\/p>\n Marks of Ashok = 95%<\/span><\/p>\n Marks of Rahul = 85%<\/span><\/p>\n Arranging the marks in ascending order <\/span> Hence Mohit secured the highest marks and Vickey secured the lowest marks.<\/span><\/p>\n <\/span><\/p>\n 3. Priya, Sonia, Preeti and Neha have Rs 400, Rs 100, Rs 200 and Rs 300 respectively.<\/b><\/p>\n Arrange them in decreasing order of the money they have.<\/b><\/span><\/p>\n Money with Priya = Rs 400<\/span><\/p>\n Money with Sonia = Rs 100<\/span><\/p>\n Money with Preeti = Rs 200<\/span><\/p>\n Money with Neha = Rs 300<\/span><\/p>\n Arranging the money in decreasing order<\/span><\/p>\n Rs 400 > Rs 300 > Rs 200 > Rs 100 <\/span><\/p>\n <\/span><\/p>\n <\/span><\/p>\n [\/et_pb_text][\/et_pb_column][et_pb_column type=”2_5″ module_id=”stickysideR” admin_label=”Column R” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#fdefe0″ custom_padding=”25px|25px|25px|25px|true|true” sticky_position=”top” sticky_offset_top=”-280px” sticky_limit_top=”row” sticky_limit_bottom=”row” sticky_position_tablet=”none” sticky_position_phone=”none” sticky_position_last_edited=”on|desktop” sticky_limit_bottom_tablet=”” sticky_limit_bottom_phone=”” sticky_limit_bottom_last_edited=”on|phone” border_radii=”on|15px|15px|15px|15px” box_shadow_style=”preset3″ global_colors_info=”{}”][et_pb_image src=”https:\/\/eistudymaterial.s3.amazonaws.com\/1080×1080.png” alt=”Free Trial banner” title_text=”Mindspark Free Trial Banner” url=”https:\/\/mindspark.in\/free-trial” align=”center” module_class=”adsimg” _builder_version=”4.11.1″ _module_preset=”default” custom_padding=”||||false|false” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}” transform_styles__hover_enabled=”on|hover” transform_scale__hover_enabled=”on|hover” transform_translate__hover_enabled=”on|desktop” transform_rotate__hover_enabled=”on|desktop” transform_skew__hover_enabled=”on|desktop” transform_origin__hover_enabled=”on|desktop” transform_scale__hover=”102%|102%”][\/et_pb_image][et_pb_text admin_label=”Explore Other Topics [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n [\/et_pb_text][et_pb_text admin_label=”Related Concepts [\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/Ascending-order-and-Descending-order-01-300x208.png\")
<\/b><\/h2>\nDescending order<\/b><\/h3>\n
![\"\"](\"https:\/\/eistudymaterial.s3.amazonaws.com\/Ascending-order-and-Descending-order-02-300x209.png\")
<\/b><\/h2>\n\u00a0<\/span><\/h1>\n
How to represent numbers in ascending and descending order<\/b><\/h2>\n
<\/span>The number on the right of the symbol \u201c<\u201d is always greater than the number on the left of this symbol.<\/span><\/p>\n
<\/span>The number on the right of the symbol \u201c>\u201d is always smaller than the number on the left of this symbol.<\/span><\/p>\nAscending and descending order of negative numbers<\/b><\/h2>\n
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Ascending and descending order of fractions<\/b><\/b><\/h2>\n
<\/span>Since 9 > 6 > 1 , we can say that\u00a0 \\frac{9}{7}>\\frac{6}{7}>\\frac{1}{7}<\/span>.<\/span><\/b><\/p>\nSolved Examples<\/b><\/h2>\n
<\/span>80% < 85% < 95% < 98%<\/span><\/p>\n
Priya > Neha > Preeti > Sonia
Priya is richer than the other 3 girls.<\/span><\/p>\n
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nExplore Other Topics<\/h1>\n
\n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\nRelated Concepts<\/h1>\n