[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.13.1″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n
[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n
Arrangements of numbers from smaller to bigger are known as ascending order. In this article, we are going to understand the topics along with examples.<\/p>\n
<\/p>\n
<\/span><\/p>\n Arrangement of numbers in an order such that we find larger values as we move forward is known as the ascending order of numbers.<\/span><\/p>\n 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><\/p>\n <\/span><\/p>\n <\/p>\n How to represent numbers in increasing order<\/b><\/p>\n The symbol \u201c<\u201d is used in-between numbers in ascending order.<\/span> <\/p>\n <\/b><\/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:\u00a0<\/b><\/p>\n 1. (- 2) < (- 1)<\/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><\/p>\n \u00a02. (- 6) < (- 5) < (- 4)<\/strong><\/span><\/p>\n The absolute value of (-6) is 6, (-5) is 5 and (-4) is 4.<\/span><\/p>\n 6 is greater than 5, which is greater than 4.<\/span><\/p>\n The greater is the absolute value, the smaller is the negative number.<\/span><\/p>\n Hence (-4) is greater than (-5), which is greater than (-6).<\/span><\/p>\n <\/b><\/p>\n Case-1:\u00a0 <\/b>When the denominator of the fractions are 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:<\/strong><\/p>\n \\frac{1}{7}, \\frac{6}{7}, \\frac{9}{7}<\/span><\/span><\/p>\n The given fractions have the same denominators. <\/span><\/p>\n Case-2:\u00a0<\/b><\/p>\n When the denominator of the fractions are 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:<\/strong><\/p>\n \\frac{1}{2}, \\frac{2}{3}, \\frac{1}{6}<\/span><\/span><\/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 <\/span><\/p>\n \\frac{1}{2}=\\frac{1 \\times 3}{2 \\times 3}=\\frac{3}{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 <\/p>\n A decimal number consists of two parts:<\/span><\/p>\n For arranging decimals in ascending order we have to follow the following steps:<\/span><\/p>\n The greater is the whole number part, the greater is the decimal number.<\/span><\/p>\n 2. If some numbers have the same whole part, we have to arrange them further considering their decimal part.<\/span><\/p>\n The greater is the decimal part, the greater is the decimal number when the whole number part is the same.<\/span><\/p>\n <\/span><\/p>\n Examples:<\/strong><\/p>\n Step 1:<\/span><\/p>\n Arranging the numbers according to the increasing order of their whole number part.<\/span><\/p>\n 1.567, 1.98, 2.3, 2.245, 3.5, 4<\/span><\/p>\n Step 2:<\/span><\/span><\/p>\n Comparing the decimal part of the numbers having the same whole number part.<\/span><\/p>\n In 1.567 and 1.98, the decimal part 567 is less than the decimal part 980. Hence 1.567 < 1.98.<\/span><\/p>\n In 2.3 and 2.245, the decimal part 300 is more than the decimal part 245. Hence 2.245 < 2.3.<\/span><\/p>\n Step 3:<\/span><\/p>\n Arranging the given numbers by the results obtained from step 1 and step 2:<\/span><\/p>\n 1.567 < 1.98 <\u00a0 2.245 < 2.3 < 3.5 < 4<\/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><\/b><\/p>\n Solution:\u00a0<\/span><\/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 <\/p>\n 2. Vickey, Mohit, Ashok and Rahul secured 80%, 98%, 95% and 85% respectively in the final exams. Arrange their marks in increasing order. Who scored the highest among all four boys?<\/b>\u00a0<\/b><\/p>\n Solution:\u00a0<\/span><\/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 increasing 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 Solution:<\/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 increasing order:<\/span><\/p>\n Rs 100 < Rs 200 < Rs 300 < Rs 400<\/span><\/p>\n Priya has more money than the other 3 girls.<\/span><\/p>\n <\/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>\nImage goes here<\/span><\/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>\nIncreasing Order for Negative numbers<\/b><\/h2>\n
Increasing Order for fractions<\/b><\/h2>\n
Since 1 < 6 < 9, we can say that \\frac{1}{7}<\\frac{6}{7}<\\frac{9}{7}<\/span>.<\/span><\/p>\n
\\frac{2}{3}=\\frac{2 \\times 2}{3 \\times 2}=\\frac{4}{6} <\/span><\/span><\/p>\n
\\frac{1}{6}=\\frac{1 \\times 1}{6 \\times 1}=\\frac{1}{6}<\/span><\/span><\/span><\/p>\nIncreasing Order for decimals<\/b><\/h2>\n
\n
\n
\n
Solved Examples<\/b><\/h2>\n
<\/span>80% < 85% < 95% < 98%<\/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