{"id":3760,"date":"2021-02-25T10:21:15","date_gmt":"2021-02-25T04:51:15","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=3760"},"modified":"2021-09-15T11:40:41","modified_gmt":"2021-09-15T06:10:41","slug":"ap-board-9th-class-maths-solutions-chapter-1-ex-1-1","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-9th-class-maths-solutions-chapter-1-ex-1-1\/","title":{"rendered":"AP Board 9th Class Maths Solutions Chapter 1 Real Numbers Ex 1.1"},"content":{"rendered":"

AP State Syllabus AP Board 9th Class Maths Solutions<\/a> Chapter 1 Real Numbers Ex 1.1 Textbook Questions and Answers.<\/p>\n

AP State Syllabus 9th Class Maths Solutions 1st Lesson Real Numbers Exercise 1.1<\/h2>\n

Question 1.
\na) Write any three rational numbers.
\nSolution:
\n\\(\\frac{3}{4}, \\frac{5}{9}, \\frac{2}{7}\\)<\/p>\n

b) Explain rational number is in your own words.
\nSolution:
\nA number which can be expressed in algebraic form i.e., in \\(\\frac { p }{ q }\\) form is called a rational number.
\nE.g.: \\(\\frac { 3 }{ 5 }\\), \\(\\frac { -4 }{ 9 }\\) etc.<\/p>\n

\"AP<\/p>\n

Question 2.
\nGive one example each to the following statements.
\ni) A number which is rational but not an integer.
\nSolution:
\n7\/11<\/p>\n

ii) A whole number which is not a natural number.
\nSolution:
\n‘0’ (Zero)<\/p>\n

iii) An integer which is not a whole number.
\nSolution:
\n-8<\/p>\n

iv) A number which is natural number, whole number, integer and rational number.
\nSolution:
\n5<\/p>\n

v) A number which is an integer but not a natural number.
\nSolution:
\n-4<\/p>\n

Question 3.
\nFind five rational numbers between 1 and 2.
\nSolution:
\n\"AP
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 4.
\nFive rational numbers between \\(\\frac { 2 }{ 3 }\\) and \\(\\frac { 3 }{ 5 }\\)
\nSolution:
\n\"AP<\/p>\n

Question 5.
\nRepresent \\(\\frac { 8 }{ 5 }\\) and \\(\\frac { -8 }{ 5 }\\) on a number line.
\nSolution:
\n\"AP
\nStep – 1 : Draw a number line.
\nStep – 2 : Divide each unit into 5 equal parts.
\nStep – 3 : Take 8 – equal parts from ‘0’ on its right side and mark it as \\(\\frac { 8 }{ 5 }\\) (similarly) on left side \\(\\frac { -8 }{ 5 }\\) .<\/p>\n

Question 6.
\nExpress the following rational numbers as decimal numbers.
\nSolution:
\nI. i) \\(\\frac { 242 }{ 1000 }\\) .
\nii) \\(\\frac { 354 }{ 500 }\\) .
\niii) \\(\\frac { 2 }{ 5 }\\) .
\niv) \\(\\frac{115}{4}\\)
\nSolution:
\ni) \\(\\frac { 242 }{ 1000 }\\) = 0.242
\nii) \\(\\frac{354}{500}\\)
\n\\(=\\frac{354 \\times 2}{500 \\times 2}\\)
\n\\(=\\frac{708}{1000}\\)
\n\\(=0.708\\)
\niii) \\(\\frac{2}{5}\\)
\n\\(=\\frac{2 \\times 2}{5 \\times 2}\\)
\n\\(=\\frac{4}{10}\\)
\n\\(=0.4\\)
\niv)
\n\"AP<\/p>\n

\"AP<\/p>\n

II. i) \\(\\frac{2}{3}\\)
\nSolution:
\n\"AP<\/p>\n

ii) \\(\\frac{-25}{36}\\)
\nSolution:
\n\"AP<\/p>\n

iii) \\(\\frac{22}{7}\\)
\nSolution:
\n\"AP<\/p>\n

iv) \\(\\frac{11}{9}\\)
\nSolution:
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 7.
\nExpress each of the following decimals in \\(\\frac{p}{q}\\) form where q \u2260 0 and p, q are integers.
\ni) 0.36
\nSolution:
\n0.36 = \\(\\frac{36}{100}=\\frac{9}{25}\\)<\/p>\n

ii) 15.4
\nSolution:
\n15.4 = \\(\\frac{154}{10}=\\frac{77}{5}\\)<\/p>\n

iii) 10.25
\nSolution:
\n10.25 = \\(\\frac{1025}{100}=\\frac{41}{4}\\)<\/p>\n

iv) 3.25
\nSolution:
\n3.25 = \\(\\frac{325}{100}=\\frac{13}{4}\\)<\/p>\n

Question 8.
\nExpress each of the following decimal number in the \\(\\frac { p }{ q }\\) form.
\ni) \\(0 . \\overline{5}\\)
\nSolution:
\nLet x = \\(0 . \\overline{5}\\) = 0.5555
\nMultiplying both sides by 10
\n\"AP<\/p>\n

ii) \\(3 . \\overline{8}\\)
\nSolution:
\nLet x = \\(3 . \\overline{8}\\)
\n(i.e) x = 3.888 ………..
\nMultiplying both sides by 10
\n\"AP<\/p>\n

\"AP<\/p>\n

iii) \\(0 . \\overline{36}\\)
\nSolution:
\nLet x \\(0 . \\overline{36}\\)
\n(i.e) x = 0.363636 ………..
\nMultiplying by 100 on both sides
\n\"AP<\/p>\n

iv) \\(3.12 \\overline{7}\\)
\nSolution:
\nLet x = \\(3.12 \\overline{7}\\)
\nx = 0.12777
\nMultiplying by 10 on both sides
\n\"AP<\/p>\n

Question 9.
\nWithout actually dividing find which of the following are terminating
\ndecimals.
\ni) \\(\\frac { 3 }{ 25 }\\)
\nSolution:
\nCheck the denominator, if it consists of 2’s or 5’s or combination of both then only it reduces to a terminating decimal.
\n25 = 5 x 5
\nHence \\(\\frac { 3 }{ 25 }\\) is a terminating decimal.<\/p>\n

ii) \\(\\frac { 11 }{ 18 }\\)
\nSolution:
\nDenominator 18 = 2 \u00d7 3 \u00d7 3,
\nhence \\(\\frac { 11 }{ 18 }\\) is a non-terminating decimal 13<\/p>\n

iii) \\(\\frac { 13 }{ 20 }\\)
\nDenominator 20 = 2 \u00d7 2 \u00d7 5,
\nhence \\(\\frac { 13 }{ 20 }\\) is a terminating decimal.<\/p>\n

iv) \\(\\frac { 41 }{ 42 }\\)
\nSolution:
\nDenominator 42 = 2 \u00d7 3 \u00d7 7,
\nhence \\(\\frac { 41 }{ 42 }\\) is a non-terminating decimal.<\/p>\n

\"AP<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 9th Class Maths Solutions Chapter 1 Real Numbers Ex 1.1 Textbook Questions and Answers. AP State Syllabus 9th Class Maths Solutions 1st Lesson Real Numbers Exercise 1.1 Question 1. a) Write any three rational numbers. Solution: b) Explain rational number is in your own words. Solution: A number which can …<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/3760"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=3760"}],"version-history":[{"count":0,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/3760\/revisions"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=3760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=3760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=3760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}