{"id":10912,"date":"2024-01-24T17:54:33","date_gmt":"2024-01-24T12:24:33","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=10912"},"modified":"2024-01-25T10:43:10","modified_gmt":"2024-01-25T05:13:10","slug":"ap-board-6th-class-maths-solutions-chapter-4-unit-exercise","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-6th-class-maths-solutions-chapter-4-unit-exercise\/","title":{"rendered":"AP Board 6th Class Maths Solutions Chapter 4 Integers Unit Exercise"},"content":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions<\/a> Chapter 4 Integers Unit Exercise Textbook Questions and Answers.<\/p>\n

AP State Syllabus 6th Class Maths Solutions 4th Lesson Integers Unit Exercise<\/h2>\n

Question 1.
\nWrite the integers for the following situations.
\ni) A kite is flying at a height of 225 m in the sky. ( )
\nii) A whale is at a depth of 1250 m in the ocean. ( )
\niii) The temperature in Sahara desert is 12\u00b0C below freezing temperature. ( )
\niv) Ravi withdrawn Rs. 3800 from ATM using his debit card. ( )
\nAnswer:
\ni) 225 m
\nii) – 1250 m
\niii) – 12\u00b0C
\niv) -3800<\/p>\n

\"AP<\/p>\n

Question 2.
\nJustify the following statements with an example.
\ni) A positive integer is always greater than a negative integer.
\nii) All positive integers are natural numbers.
\niii) Zero is greater than a negative integer.
\niv) There exist infinite integers in the number system.
\nv) All whole numbers are integers.
\nAnswer:
\ni) A positive integer is always greater than a negative integer:
\nConsider
\na) 3, -5 are two integers
\n3 > -5
\nb) – 10, 1 are two integers
\n1 > -10
\n\u2234 A positive integer is always greater than a negative integer.<\/p>\n

ii) All positive integers are natural numbers:
\nPositive integers = 1, 2, 3, …..
\nNatural numbers = 1, 2, 3, …..
\nSo, all positive integers are natural numbers.<\/p>\n

iii) Zero is greater than a negative integer:
\nOn a number line, for a given pair of numbers the number on R.H.S is always greater than the number on L.H.S.
\nAll negative integers lie on the L.H.S. of zero, on a number line.
\nAs such all negative numbers are less than zero or zero is greater than all negative integers.<\/p>\n

iv) There exist infinite integers in the number system:
\nIf we write integer on a number line, as the line extends on both sides endlessly so as the integers.
\n(Or)
\nFor every integer there exists another integer which is 1 more than the given integer. Hence the integers are infinite.<\/p>\n

v) All whole numbers are integers:
\nWhole numbers : 0, 1, 2, 3,……
\nIntegers: ……, -3, -2, -1, 0, 1, 2, 3,…..
\nSo, whole number are part of integers.
\n\u2234 All whole numbers are integers.<\/p>\n

\"AP<\/p>\n

Question 3.
\nRepresent
\ni) 3+4
\nii) 8+(-3)
\niii) -7-2
\niv) 6-(5)
\nv)-5-(-4)
\non number line.
\nAnswer:
\ni) 3 + 4 = +7.
\n\"AP
\nOn the number line we first move 3 steps to the right of 0 to reach +3.
\nThen, we move 4 steps to the right of +3 and reach + 7.<\/p>\n

ii) 8 + (-3) = +5.
\n\"AP
\nOn the number line we first move 8 steps to the right of 0 to reach +8.
\nThen, we move 3 steps to the left of +8 and reach +5.<\/p>\n

iii) -7 -2 = -9
\n\"AP
\nOn the number line we first move 7 steps to the left of 0 to reach -7.
\nThen we move 2 steps to the left of -7 and reach -9.<\/p>\n

iv) 6 – (5) = + 1
\n\"AP
\nOn the number line we first move 6 steps to the right of 0 to reach +6.
\nThen, we move 5 steps to the left of +6 and reach +1.<\/p>\n

v) -5 – (-4) = -1
\n\"AP
\n-5 – (-4) = -5 + 4 = -1 (\u2235 -(-a) = a)
\nOn the number line, we first move 5 steps to the left of 0 to reach -5.
\nThen, we move 4 steps to the right of -5 and reach -1.<\/p>\n

\"AP<\/p>\n

Question 4.
\nWrite all the integers lying between the given numbers.
\ni) 7 and 12
\nii) -5 and -1
\niii) -3 and 3
\niv) -6 and 0
\nAnswer:
\ni) 7 and 12
\nIntegers lying between 7 and 12 are 8, 9, 10, ll.<\/p>\n

ii) -5 and -1
\nIntegers lying between -5 and -1 are -2, -3 and -4.<\/p>\n

iii) -3 and 3
\nIntegers lying between -3 and 3 are -2, -1, 0, 1, 2.<\/p>\n

iv) -6 and 0
\nIntegers lying between -6 and 0 are -5, -4, -3, -2, -1.<\/p>\n

Question 5.
\nArrange the following integers in ascending order and descending order.
\n-1000, 10, -1, -100, 0, 1000, 1, -10
\nAnswer:
\nGiven numbers -1000, 10, -1, -100, 0, 1000, 1, -10
\nAscending order: – 1000, -100, -10, -1, 0, 1, 10, 1000
\nDescending order: 1000, 10, 1, 0, -1, -10, -100, -1000<\/p>\n

Question 6.
\nWrite a real life situation for each of the following integers.
\ni) -200 m
\nii) +42\u00b0C
\niii) -4800(cr)
\niv) -3.0 kg
\nAnswer:
\ni) -200 m
\nIn the Singareni coal mines workers will go 200 m below the ground level.
\nii) +42\u00b0C
\nIn summer average temperature of May month is 42\u00b0C.
\niii) Rs. 4800 (crores)
\nCentral Government sanctioned Rs. 4800(crores) for education in the Annual Budget.
\niv) – 3.0 kg
\nIn a Primary School the ground balance of rice = -3 kg<\/p>\n

\"AP<\/p>\n

Question 7.
\nFind:
\ni) (-603) + (603)
\nii) (-5281) +(1825)
\niii) (-32) + (-2) + (-20) + (-6)
\nAnswer:
\ni) (-603) + (603)
\nSum of a number and its additive number is 0.
\nAdditive inverse of – 603 is 603.
\nSo, -603 + 603 = 0<\/p>\n

ii) (-5281) + (1825)
\n= – 5281 + 1825 = – 3456
\n\"AP<\/p>\n

iii) (-32) + (-2) + (-20) + (-6)
\n= -32 – 2 – 20 – 6 = -60<\/p>\n

Question 8.
\nFind:
\ni)(-2) – (+1)
\nii) (-270) – (-270)
\niii) (1000) – (-1000)
\nAnswer:
\ni) -2 – (+1)
\n= -2 -1 = -3<\/p>\n

ii) – 270 – (-270)
\n= -270 + 270 [\u2235 -(-a) = a]
\n= 0 [-a + a = 0]<\/p>\n

iii) 1000 – (-1000)
\n= 1000 + 1000 [\u2235 -(-a) = a]
\n= 2000<\/p>\n

\"AP<\/p>\n

Question 9.
\nIn a quiz competition, where negative score for wrong answer is taken,Team A scored +10, -10, 0, -10, 10, -10 and Team B scored 10,10, -10,0,0,10 in 6 rounds successively .Which team wins the competition? How?
\nAnswer:
\nScore of Team A = (+10), (-10), 0, (-10), 10, (-10)
\nTotal score of Team A = (+10) + (-10) + (0) + (-10) + (10) + (-10)
\n= +10 – 10 + 0 – 10 + 10 – 10
\n= +20 – 30 = -10
\nScore of Team B = 10, 10, -10, 0, 0, 10
\nTotal Score of Team B = (+10) + (+10) + (-10) + 0 + 0 + (+10)
\n= +10 + 10 – 10 + 10
\n= + 30 – 10
\n= + 20
\n-10 < + 20
\nTeam A < Team B
\nSo, Team B is the winner. Because, Team B got more score than Team A.<\/p>\n

Question 10.
\nAn apartment has 10 floors and two cellars for car parking under the basement. A lift is now, at the ground floor. Ravi goes 5 floors up and then 3 floors up, 2 floors down and then 6 floors down and come to lower cellar for taking his car. Count how many floors does Ravi travel all together? Represent the result on a vertical number line.
\nAnswer:
\n\"AP
\nFirst move:
\nGround to 5th floor up = 5
\n(Can reach 5th floor)
\nSecond move:
\n5th floor to 3 floors up = 3
\n(Can reach 8)
\nThird move:
\n8th floor to 2 floors down = 2
\n(Can reach 6th floor)
\nFourth move:
\n6th floor to 6 floors down = 6
\n(Can reach ground floor)
\nFinal move:
\nGround to lower cellar = 2
\n(Can reach cellar -2)
\nNo. of floors Ravi travelled = 18<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 4 Integers Unit Exercise Textbook Questions and Answers. AP State Syllabus 6th Class Maths Solutions 4th Lesson Integers Unit Exercise Question 1. Write the integers for the following situations. i) A kite is flying at a height of 225 m in the sky. ( ) … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":38557,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2021\/04\/Chapter-4-Integers-Unit-Exercise.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10912"}],"collection":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=10912"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10912\/revisions"}],"predecessor-version":[{"id":38558,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10912\/revisions\/38558"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/38557"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=10912"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=10912"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=10912"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}