{"id":16207,"date":"2020-09-10T12:14:43","date_gmt":"2020-09-10T06:44:43","guid":{"rendered":"https:\/\/kseebsolutions.guru\/?p=16207"},"modified":"2021-07-02T15:01:53","modified_gmt":"2021-07-02T09:31:53","slug":"kseeb-solutions-for-class-7-maths-chapter-13-ex-13-3","status":"publish","type":"post","link":"https:\/\/kseebsolutions.guru\/kseeb-solutions-for-class-7-maths-chapter-13-ex-13-3\/","title":{"rendered":"KSEEB Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3"},"content":{"rendered":"

Students can Download Chapter 13 Exponents and Powers Ex 13.3, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths<\/a>, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.<\/p>\n

Karnataka State Syllabus Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3<\/h2>\n

Question 1.
\nWrite the following numbers in the expanded forms :
\n279404, 3006194, 2806196, 120719, 20068
\nSolution:
\ni) 279404
\n= 2 \u00d7 100000 + 7 \u00d7 10000 + 9 \u00d7 1000 + 4 \u00d7 100 + 0 \u00d7 10 + 4 \u00d7 1
\n= 2\u00d7 105<\/sup> + 7\u00d7 104<\/sup> + 9 \u00d7 103<\/sup> + 4 \u00d7 102<\/sup> + 0 \u00d7 101<\/sup> + 4 \u00d7 100<\/sup><\/p>\n

ii) 3006194
\n= 3 \u00d7 1000000 + 0 \u00d7 100000 + 0 \u00d7 10000 + 6 \u00d7 1000 + 1 \u00d7 100 + 9 \u00d7 10 + 4 \u00d7 1
\n= 3 \u00d7 106<\/sup> + 0 \u00d7 105<\/sup> + 0 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 101<\/sup> + 4 \u00d7 100<\/sup><\/p>\n

iii) 2806196
\n= 2 \u00d7 1000000 + 8 \u00d7 100000 + 0 \u00d7 10000 + 6 \u00d7 1000 + 1 \u00d7 100 + 9 \u00d7 101<\/sup> + 6 \u00d7 100<\/sup>
\n= 2 \u00d7 106<\/sup> + 8 \u00d7 105<\/sup> + 0 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 1 \u00d7 102<\/sup> + 9 \u00d7 101<\/sup> + 6 \u00d7 100<\/sup><\/p>\n

iv) 120719
\n= 1 \u00d7 100000 + 2 \u00d7 10000 + 0 \u00d7 1000 + 7 \u00d7 100 + 1 \u00d7 10 + 9 \u00d7 1
\n= 1 \u00d7 105<\/sup> + 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 7 \u00d7 102<\/sup> + 1 \u00d7 101<\/sup> + 9 \u00d7 100<\/sup><\/p>\n

v) 20068
\n= 2 \u00d7 10000 + 0 \u00d7 1000 + 0 \u00d7 100 + 6 \u00d7 10 + 8 \u00d7 1
\n= 2 \u00d7 104<\/sup> + 0 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 6 \u00d7 101<\/sup> + 8 \u00d7 100<\/sup><\/p>\n

\"KSEEB<\/p>\n

Question 2.
\nFind the number from each of the following expanded forms :
\na. 8 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 4 \u00d7 101<\/sup> + 5 \u00d7 100<\/sup>
\nb. 4 \u00d7 105<\/sup> + 5 \u00d7 103<\/sup> + 3 \u00d7 102<\/sup> + 2 \u00d7 100<\/sup>
\nc. 3 \u00d7 104<\/sup> + 7 \u00d7 102<\/sup> + 5 \u00d7 100<\/sup>
\nd. 9 \u00d7 105<\/sup> + 2 \u00d7 102<\/sup> + 3 \u00d7 101<\/sup>
\nSolution:
\na) 8 \u00d7 104<\/sup> + 6 \u00d7 103<\/sup> + 0 \u00d7 102<\/sup> + 4 \u00d7 101<\/sup> + 5 \u00d7 100<\/sup>
\n= 8 \u00d7 10000 + 6 \u00d7 1000 + 0 \u00d7 100 + 4 \u00d7 10 + 5 \u00d7 1
\n= 80,000 + 6000 + 0 + 40 + 5
\n= 86,045<\/p>\n

b) 4 \u00d7 105<\/sup> + 5 \u00d7 103<\/sup> + 3 \u00d7 102<\/sup> + 2 \u00d7 100<\/sup>
\n= 400000 + 5000 + 300 + 2
\n= 4,05,302<\/p>\n

c) 3 \u00d7 104<\/sup> + 7 \u00d7 102<\/sup> + 5 \u00d7 100<\/sup>
\n= 40000 + 500 + 5
\n= 130,7051<\/p>\n

d) 9 \u00d7 105<\/sup> + 2 \u00d7 102<\/sup> + 3 \u00d7 101<\/sup>
\n= 900000 + 200 + 30
\n= 9,00,230<\/p>\n

\"KSEEB<\/p>\n

Question 3.
\nExpress the following numbers in standard form:
\n(i) 5,00,00,000
\n(ii) 70,00,000
\n(iii) 3,18,65,00,000
\n(iv) 3,90,878
\n(v) 39087.8
\n(vi) 3908.78
\nSolution:
\ni) 5,00,00,000
\n5 \u00d7 107<\/sup><\/p>\n

ii) 70,00,000
\n7 \u00d7 106<\/sup><\/p>\n

iii) 3,18,65,00,000
\n3.1865 \u00d7 109<\/sup><\/p>\n

iv) 3,90,878
\n3.90878 \u00d7 105<\/sup><\/p>\n

v) 39087.8
\n3.90878 \u00d7 103<\/sup><\/p>\n

vi) 3908.78
\n3.90878 \u00d7 103<\/sup><\/p>\n

\"KSEEB<\/p>\n

Question 4.
\nExpress the number appearing in the following statements in standard form.
\nSolution:
\na) The distance between Earth and Moon is 384,000,000 m.
\n= 3.84 \u00d7 108<\/sup> m<\/p>\n

b) Speed of light in vacuum is 300,000,000 m\/s
\n= 3 \u00d7 108<\/sup> m\/s<\/p>\n

c) Diameter of the Earth is 1,27,56,000 m.
\n1.2756 \u00d7 107<\/sup> m<\/p>\n

d) Diameter of the Sun is
\n1,400,0, 000m.
\n1.4 \u00d7 109<\/sup>m<\/p>\n

e) Number of average stars in a galaxy = 100,000,000m.
\n= 1 \u00d7 1011<\/sup> m<\/p>\n

f) The universe is estimated to be about 12,000,000,000 years old.
\n= 1.2 \u00d7 1010<\/sup> years old<\/p>\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 m.
\n= 3 \u00d7 1020<\/sup> m<\/p>\n

h) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
\n= 6.023 \u00d7 1022<\/sup> molecules<\/p>\n

i ) The earth has 1,353,000,000 cubic km of sea water.
\n= 1.353 \u00d7 109<\/sup> cubic km<\/p>\n

j) The population of India was about 1,027,000000 in March, 2001.
\n= 1.027 \u00d7 109<\/sup><\/p>\n","protected":false},"excerpt":{"rendered":"

Students can Download Chapter 13 Exponents and Powers Ex 13.3, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations. Karnataka State Syllabus Class 7 Maths Chapter 13 Exponents and Powers Ex 13.3 Question 1. Write the …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[84],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/16207"}],"collection":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/comments?post=16207"}],"version-history":[{"count":0,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/posts\/16207\/revisions"}],"wp:attachment":[{"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/media?parent=16207"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/categories?post=16207"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kseebsolutions.guru\/wp-json\/wp\/v2\/tags?post=16207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}