{"id":2161,"date":"2022-11-10T13:21:55","date_gmt":"2022-11-10T13:21:55","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2161"},"modified":"2022-11-10T13:21:55","modified_gmt":"2022-11-10T13:21:55","slug":"ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-3\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 13 (Exponents and Powers)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 13 Exponents and Powers\u00a0 <\/strong>Exercise 13.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 13 Exponents and Powers<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 13.1<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-13-exponents-and-powers-ex-13-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 13.2<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 13.3\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Write the following numbers in the expanded forms:<br \/>\n<\/strong><strong>279404, 3006194, 2806196, 120719, 20068<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>279404<\/strong><br \/>\nThe expanded form of the number 279404 is,<br \/>\n= (2 \u00d7 100000) + (7 \u00d7 10000) + (9 \u00d7 1000) + (4 \u00d7 100) + (0 \u00d7 10) + (4 \u00d7 1)<br \/>\n= (2 \u00d7 10<sup>5<\/sup>) + (7 \u00d7 10<sup>4<\/sup>) + (9 \u00d7 10<sup>3<\/sup>) + (4 \u00d7 10<sup>2<\/sup>) + (0 \u00d7 10<sup>1<\/sup>) + (4 \u00d7 10<sup>0<\/sup>)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3006194<br \/>\n<\/strong>The expanded form of the number 3006194 is,<br \/>\n= (3 \u00d7 1000000) + (0 \u00d7 100000) + (0 \u00d7 10000) + (6 \u00d7 1000) + (1 \u00d7 100) + (9 \u00d7 10) + 4<br \/>\n= (3 \u00d7 10<sup>6<\/sup>) + (0 \u00d7 10<sup>5<\/sup>) + (0 \u00d7 10<sup>4<\/sup>) + (6 \u00d7 10<sup>3<\/sup>) + (1 \u00d7 10<sup>2<\/sup>) + (9 \u00d7 10<sup>1<\/sup>) + (4 \u00d7 10<sup>0<\/sup>)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2806196<br \/>\n<\/strong>The expanded form of the number 2806196 is,<br \/>\n= (2 \u00d7 1000000) + (8 \u00d7 100000) + (0 \u00d7 10000) + (6 \u00d7 1000) + (1 \u00d7 100) + (9 \u00d7 10) + 6<br \/>\n= (2 \u00d7 10<sup>6<\/sup>) + (8 \u00d7 10<sup>5<\/sup>) + (0 \u00d7 10<sup>4<\/sup>) + (6 \u00d7 10<sup>3<\/sup>) + (1 \u00d7 10<sup>2<\/sup>) + (9 \u00d7 10<sup>1<\/sup>) + (6 \u00d7 10<sup>0<\/sup>)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>120719<br \/>\n<\/strong>The expanded form of the number 120719 is,<br \/>\n= (1 \u00d7 100000) + (2 \u00d7 10000) + (0 \u00d7 1000) + (7 \u00d7 100) + (1 \u00d7 10) + (9 \u00d7 1)<br \/>\n= (1 \u00d7 10<sup>5<\/sup>) + (2 \u00d7 10<sup>4<\/sup>) + (0 \u00d7 10<sup>3<\/sup>) + (7 \u00d7 10<sup>2<\/sup>) + (1 \u00d7 10<sup>1<\/sup>) + (9 \u00d7 10<sup>0<\/sup>)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>20068<br \/>\n<\/strong>The expanded form of the number 20068 is,<br \/>\n= (2 \u00d7 10000) + (0 \u00d7 1000) + (0 \u00d7 100) + (6 \u00d7 10) + (8 \u00d7 1)<br \/>\n= (2 \u00d7 10<sup>4<\/sup>) + (0 \u00d7 10<sup>3<\/sup>) + (0 \u00d7 10<sup>2<\/sup>) + (6 \u00d7 10<sup>1<\/sup>) + (8 \u00d7 10<sup>0<\/sup>)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Find the number from each of the following expanded forms:<br \/>\n<\/strong><strong>(a) 8 \u00d7 10<sup>4<\/sup>\u00a0+ 6 \u00d7 10<sup>3<\/sup>\u00a0+ 0 \u00d7 10<sup>2<\/sup>\u00a0+ 4 \u00d7 10<sup>1<\/sup>\u00a0+ 5 \u00d7 10<sup>0<\/sup><sup><br \/>\n<\/sup><\/strong><strong>(b) 4 \u00d7 10<sup>5<\/sup>\u00a0+ 5 \u00d7 10<sup>3<\/sup>\u00a0+ 3 \u00d7 10<sup>2<\/sup>\u00a0+ 2 \u00d7 10<sup>0<\/sup><br \/>\n(c) 3 \u00d7 10<sup>4<\/sup>\u00a0+ 7 \u00d7 10<sup>2<\/sup>\u00a0+ 5 \u00d7 10<sup>0<\/sup><br \/>\n(d) 9 \u00d7 10<sup>5<\/sup>\u00a0+ 2 \u00d7 10<sup>2<\/sup>\u00a0+ 3 \u00d7 10<sup>1<\/sup><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) 8 \u00d7 10<sup>4<\/sup>\u00a0+ 6 \u00d7 10<sup>3<\/sup>\u00a0+ 0 \u00d7 10<sup>2<\/sup>\u00a0+ 4 \u00d7 10<sup>1<\/sup>\u00a0+ 5 \u00d7 10<sup>0<\/sup><\/strong><br \/>\n= (8 \u00d7 10000) + (6 \u00d7 1000) + (0 \u00d7 100) + (4 \u00d7 10) + (5 \u00d7 1)<br \/>\n= 80000 + 6000 + 0 + 40 + 5<br \/>\n= 86045<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) 4 \u00d7 10<sup>5<\/sup>\u00a0+ 5 \u00d7 10<sup>3<\/sup>\u00a0+ 3 \u00d7 10<sup>2<\/sup>\u00a0+ 2 \u00d7 10<sup>0<br \/>\n<\/sup><\/strong>= (4 \u00d7 100000) + (0 \u00d7 10000) + (5 \u00d7 1000) + (3 \u00d7 100) + (0 \u00d7 10) + (2 \u00d7 1)<br \/>\n= 400000 + 0 + 5000 + 300 + 0 + 2<br \/>\n= 405302<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) 3 \u00d7 10<sup>4<\/sup>\u00a0+ 7 \u00d7 10<sup>2<\/sup>\u00a0+ 5 \u00d7 10<sup>0<br \/>\n<\/sup><\/strong>= (3 \u00d7 10000) + (0 \u00d7 1000) + (7 \u00d7 100) + (0 \u00d7 10) + (5 \u00d7 1)<br \/>\n= 30000 + 0 + 700 + 0 + 5<br \/>\n= 30705<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) 9 \u00d7 10<sup>5<\/sup>\u00a0+ 2 \u00d7 10<sup>2<\/sup>\u00a0+ 3 \u00d7 10<sup>1<br \/>\n<\/sup><\/strong>= (9 \u00d7 100000) + (0 \u00d7 10000) + (0 \u00d7 1000) + (2 \u00d7 100) + (3 \u00d7 10) + (0 \u00d7 1)<br \/>\n= 900000 + 0 + 0 + 200 + 30 + 0<br \/>\n= 900230<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Express the following numbers in standard form:<br \/>\n<\/strong><strong>(i) 5,00,00,000<br \/>\n<\/strong><strong>(ii) 70,00,000<br \/>\n(iii) 3,18,65,00,000<br \/>\n(iv) 3,90,878<br \/>\n(v) 39087.8<br \/>\n(vi) 3908.78<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) 5,00,00,000<br \/>\n<\/strong>The standard form of the given number is 5 \u00d7 10<sup>7<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(ii) 70,00,000<br \/>\n<\/strong>The standard form of the given number is 7 \u00d7 10<sup>6<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iii) 3,18,65,00,000<br \/>\n<\/strong>The standard form of the given number is 3.1865 \u00d7 10<sup>9<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(iv) 3,90,878<br \/>\n<\/strong>The standard form of the given number is 3.90878 \u00d7 10<sup>5<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(v) 39087.8<br \/>\n<\/strong>The standard form of the given number is 3.90878 \u00d7 10<sup>4<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(vi) 3908.78<br \/>\n<\/strong>The standard form of the given number is 3.90878 \u00d7 10<sup>3<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>4. Express the number appearing in the following statements in standard form.<br \/>\n(a) The distance between Earth and Moon is 384.0. 000 m.<br \/>\n(b) Speed of light in vacuum is 300,000,000 m\/s.<br \/>\n(c) Diameter of the Earth is 1,27,56,000 m.<br \/>\n(d) Diameter of the Sun is 1,400,000,000 m.<br \/>\n(e) In a galaxy there are an average 100,000,000,000 stars.<br \/>\n(f) The universe is estimated to be about 12,000,000,000 years old.<br \/>\n(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.<br \/>\n(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.<br \/>\n(i) The Earth has 1,353,000,000 cubic km of sea water.<br \/>\n(j) The population of India was about 1,027,000,000 in March 2001.<br \/>\n<\/strong><\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(a) The distance between Earth and Moon is 384,000,000 m.<br \/>\n<\/strong>384,000,000 m = 3.84 \u00d7 10<sup>8<\/sup>\u00a0m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(b) Speed of light in vacuum is 300,000,000 m\/s.<br \/>\n<\/strong>300,000,000 m\/s = 3 \u00d7 10<sup>8<\/sup>\u00a0m\/s<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(c) Diameter of the Earth is 1,27,56,000 m.<br \/>\n<\/strong>1,27,56,000 m = 1.2756 \u00d7 10<sup>72 <\/sup>m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(d) Diameter of the Sun is 1,400,000,000 m.<br \/>\n<\/strong>1,400,000,000 m = 1.4 \u00d7 10<sup>9<\/sup>\u00a0m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(e) In a galaxy there are on an average 100,000,000,000 stars.<br \/>\n<\/strong>100,000,000,000 stars = 1 \u00d7 10<sup>11<\/sup>\u00a0stars<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(f) The universe is estimated to be about 12,000,000,000 years old.<br \/>\n<\/strong>12,000,000,000 years old = 1.2 \u00d7 10<sup>10<\/sup> years old.\u00a0<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(g) The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.<br \/>\n<\/strong>300,000,000,000,000,000,000 m = 3 \u00d7 10<sup>20<\/sup>\u00a0m<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.<br \/>\n<\/strong>60, 230, 000, 000, 000, 000, 000, 000 molecules = 6.023 \u00d7 10<sup>22<\/sup>\u00a0molecules<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(i) The earth has 1,353,000,000 cubic km of sea water.<br \/>\n<\/strong>1,353,000,000 cubic km = 1.353 \u00d7 10<sup>9<\/sup>\u00a0cubic km<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>(j) The population of India was about 1,027,000,000 in March, 2001.<br \/>\n<\/strong>1,0,27,000,000 = 1.027 \u00d7 10<sup>9<\/sup><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 13 (Exponents and Powers) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 13 Exponents and Powers\u00a0 Exercise 13.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 13 Exponents and Powers NCERT Solution Class 7 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[345,346,283,5],"class_list":["post-2161","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-13-exponents-and-powers-in-english","tag-ncert-solutions-class-7-maths-chapter-13-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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