{"id":10795,"date":"2024-01-22T11:57:33","date_gmt":"2024-01-22T06:27:33","guid":{"rendered":"https:\/\/apboardsolutions.com\/?p=10795"},"modified":"2024-01-23T12:49:48","modified_gmt":"2024-01-23T07:19:48","slug":"ap-board-7th-class-maths-solutions-chapter-1-intext-questions","status":"publish","type":"post","link":"https:\/\/apboardsolutions.com\/ap-board-7th-class-maths-solutions-chapter-1-intext-questions\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 1 Integers InText Questions"},"content":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions<\/a> Chapter 1 Integers InText Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 1st Lesson Integers InText Questions<\/h2>\n

\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1. (Page No. 3)
\n9 + (-3) =
\n9 + (- 2) =
\n9 + C- 1) =
\n9 + 0 =
\n9 + 1 =<\/p>\n

9 + 2 =
\n9 + 3 =
\n9 + 4 =
\n9 + 5 =
\n9 + 6 = 15
\n9 + 7 = 16
\nSolution:
\n9 + (- 3) = 6
\n9 + (- 2) = 7
\n9 + (- 1) = 8
\n9 + 0 =9
\n9 + 1 =10<\/p>\n

9 + 2 = 11
\n9 + 3= 12
\n9 + 4 = 13
\n9 + 5 = 14
\n9 + 6 = 15
\n9 + 7 = 16<\/p>\n

\"AP<\/p>\n

i) When you added a positive integer, in which direction did you move on the number line ? (Page No. 4)
\nSolution:
\nWhen you add a positive integer you move right side on the number line.<\/p>\n

ii) When you added a negative integer in which direction did you move on the number line ? (Page No. 4)
\nSolution:
\nWhen you add a negative integer you move left side on the number line.<\/p>\n

Question 2.
\nSangeetha said that each time you add two integers, the value of the sum is greater than the numbers. Is Sangeetha right ? Give reasons for your answer. (Page No. 4)
\nSolution:
\nSangeetha is always not correct. When we add – 8 and 3 the sum is (- 8) + 3 = – 5 which is less than 3. Therefore when we add two positive integers then only the sum is greater than the numbers.<\/p>\n

Try This<\/span><\/p>\n

Complete the pattern. (Page No. 5)<\/p>\n

Question 1.
\n8-6 = 2
\n8-5 = 3
\n8-4 =
\n8-3 =
\n8-2 =
\n8-1 =<\/p>\n

8 – 0 =
\n8 – (- 1) =
\n8 – (- 2) =
\n8 – (- 3) =
\n8 – (- 4) =
\nSolution:
\n8-6 = 2
\n8-5 = 3
\n8-4 = 4
\n8-3 = 5
\n8-2 = 6
\n8-1 = 7<\/p>\n

8-0 =8
\n8 – (- 1) =9
\n8 – (-2) =10
\n8 – (- 3) = 11
\n8 – (-4) =12<\/p>\n

\"AP<\/p>\n

i) When you subtract a positive integer in which direction do you move on the number line ? (Page No. 5)
\nSolution:
\nWhen you subtract a positive integer, you move left side on the number line.<\/p>\n

ii) When you subtract a negative integer, in which direction do you move on the number line ? (Page No. 5)
\nSolution:
\nWhen you subtract a negative integer, you move right side on the number line.<\/p>\n

Question 2.
\nRicha felt that each time you subtract an integer from another integer, the value of the difference is lesser than the two numbers. Is Richa right ? Give reasons for your answer. (Page No. 5)
\nSolution:
\nRicha may not be correct all times. Richa is correct when we subtract a positive integer, but when we subtract a negative integer the difference is greater than the two numbers.<\/p>\n

E.g: 8 – (- 3) = 11 11 > 8 and 11 > – 3
\n5-(-6) = 11 11 > 5 and 11 >-6
\n7-(-8) = 15 15 > 7 and 15 > – 8<\/p>\n

Do this<\/span><\/p>\n

Question 1.
\nSolve the following. (Page No. 7)
\ni) 2 x – 6 =
\nSolution:
\ni) 2 x -6 = -12<\/p>\n

ii) 5 x – 4 =
\nSolution:
\nii) 5 x – 4 = – 20<\/p>\n

iii) 9 x – 4 =
\nSolution:
\niii) 9 x – 4 = – 36<\/p>\n

\"AP<\/p>\n

Activity<\/span><\/p>\n

Question
\nFill the grid by multiplying each number in the first column with each number in the first row. (Page No. 9)
\n\"AP<\/p>\n

i) Is the product of two positive integers always a positive integer ?
\nii) Is the product of two negative integers always a positive integer ?
\niii) Is the product of a negative and positive integer always a negative integer ?
\nSolution:
\n\"AP
\ni) Yes
\nii) Yes
\niii) Yes<\/p>\n

Try This<\/span><\/p>\n

(Page No. 10)<\/p>\n

a) (- 1) x (- 1) =
\nb) (- 1) x (- 1) x (- 1) =
\nc) (- 1) x (- 1) x (- 1) x (- 1) =
\nd) (- 1) x (- 1) x (- 1) x (- 1) x (- 1) =
\nSolution
\na) (- 1) x (- 1) = 1
\nb) (- 1) x (- 1) x (- 1) = – 1
\nc) (- 1) x (- 1) x (- 1) x (- 1) = 1
\nd) (- 1) x (- 1) x (- 1) x (- 1) x (- 1) = – 1<\/p>\n

\"AP<\/p>\n

Do This<\/span><\/p>\n

Solve the following. (Page No. 12)
\ni) (- 100) \u00f7 5 =
\nSolution:
\n-20<\/p>\n

ii) (-81)-9 =
\nSolution:
\n-9<\/p>\n

iii)(- 75) – 5 =
\nSolution:
\n– 15<\/p>\n

iv) (- 32) – 2 =
\nSolution:
\n– 16<\/p>\n

v) 125-(-25) =
\nSolution:
\n– 5<\/p>\n

vi) 80-(-5) =
\nSolution:
\n– 16<\/p>\n

vii) 64 \u00f7 (-16)
\nSolution:
\n-4<\/p>\n

Do This<\/span><\/p>\n

Question 2.
\nCompute the following. (Page No. 13)<\/p>\n

i) -36 \u00f7 (-4) =
\nSolution:
\n9<\/p>\n

ii) (-201) \u00f7 (-3) =
\nSolution:
\n67<\/p>\n

iii) (-325) \u00f7 (- 13)=
\nSolution:
\n25<\/p>\n

\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nCan we say that (- 48) + 8 = 48 + (- 8) ? (Page No. 12)
\nSolution:
\nYes.<\/p>\n

Check whether
\ni) 90 \u00f7 (- 45) and (- 90) \u00f7 (45)
\nSolution:
\n90 \u00f7 – 45 = – 2 and – 90 45 = – 2
\n\u2234 90 \u00f7 (-45) = -90 \u00f7 45 .<\/p>\n

ii) (- 136) \u00f7 4 and 136 \u00f7 (- 4)
\nSolution:
\n(- 136) \u00f7 4 = – 34 and 136 \u00f7 (- 4) = – 34
\n\u2234 (- 136) \u00f7 4 = (136) \u00f7 (-4)<\/p>\n

Question 2.
\ni) (2 + 5) + 4 = 2 + (5 + 4)
\nii) (2 + 0) + 4 = 2 + (0 + 4) (Page No. 15)
\nDoes the associative property hold for whole numbers ? Take two more examples and write your answer.
\nSolution:
\nYes. The associative property holds for whole numbers.
\nEx : i) 5 + (6 + 8) = (5 + 6) + 8
\nii) 3 + (5 + 4) = (3 + 5) + 4<\/p>\n

\"AP<\/p>\n

Question 3.
\nAdd the following. (Page No. 15)
\ni) 2 + 0
\nii) 0 + 3 =
\niii) 5 + 0 =
\nSolution:
\ni) 2
\nii) 3
\niii) 5<\/p>\n

Question 4.
\nSimilarly, add zero to as many whole numbers as possible. Is zero the additive identity for whole numbers ? (Page No. 15)
\nSolution:
\n4+0=4
\n8+0=8
\n0+7=7
\n1+0=1
\nTherefore zero is the additive identity for whole numbers.<\/p>\n

Question 5.
\nMultiply the following. (Page No. 15)
\ni) 2 x 3 = …………..
\nii) 5 x 4 = …………..
\niii) 3 x 6 = …………..
\nSolution:
\ni) 6
\nii) 20
\niii) 18<\/p>\n

\"AP<\/p>\n

Question 6.
\nSimilarly, multiply any two whole numbers of your choice. (Page No. 17)
\nIs the product of two whole numbers always a whole number ?
\nSolutlion:
\n3 x 5 = 15
\n8 x 2 = 16
\n4 x 3 = 12
\nYes, the product of two whole number is always a whole number.<\/p>\n

Question 7.
\n(5 x 2) x 3 = 5 x (2 x 3)\u00a0 (Page No. 18)
\nIs the associative property true for whole number. Take many more examples and verify.
\ni) 4 x (3 x 2) = (4 x 3) x 2
\n4 x 6 = 12 x 2
\n24 = 24<\/p>\n

ii) (8 x 5) x 2 = 8 x (5 x 2)
\n40 x 2 = 8 x 10
\n80 = 80<\/p>\n

iii) (3 x 6) x 5 = 3 x (6 x 5)
\n18 x 5 = 3 x 30
\n90 = 90<\/p>\n

Do This<\/span><\/p>\n

Question 1.
\nCompute the following :\u00a0 (Page No. 13)
\ni) -36 \u00f7 (-4) = \\(\\frac{-36}{-4}\\) = 9
\nii)(-201) \u00f7 (-3) = \\(\\frac{-201}{-3}=\\frac{201}{3}\\) = 67
\niii) (-325) \u00f7 (-13) = \\(\\frac{-325}{-13}\\) = 25<\/p>\n

Question 2.
\nIs [(- 5) x 2] x 3 = (- 5) x [(2 x 3)] ? (Page No. 18)
\nSolution:
\nLHS : [- 10] x 3 = – 30
\nRHS : (- 5) x (6) =-30
\n\u2234 L.H.S = R.H.S<\/p>\n

\"AP<\/p>\n

Question 3.
\nIs [(- 2) x 6] x 4 = (- 2) x [(6 x 4)] ? (Page No. 18)
\nSolution:
\nLHS: [-12] x 4 = -48
\nRHS : (-2) x (24) =-48.
\n\u2234 L.H.S = R.H.S<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nTake at least 5 different pairs of Integers and see if subtraction is commutative.<\/p>\n

i) Consider 5 and -3 (Page No. 20)
\n5 – ( – 3) = 5 + 3 = 8
\n(-3) – 5 = -8
\nTherefore 5 – (-3) \u2260 (-3) – 5<\/p>\n

ii) Consider 7 and -5
\n7-(-5) = 7 + 5 = 12
\n(-5) – 7 = -12
\nTherefore 7 – (-5) \u2260 (- 5) – 7<\/p>\n

iii) Consider 2 and – 6
\n2 – (-6) = 2 + 6 = 8
\n(-6)- 2 = -8
\nTherefore 2 – (-6) \u2260 (- 6) – 2<\/p>\n

\"AP<\/p>\n

iv) Consider -4 and 5
\n(- 4) – (5) = -9
\n5- (-4) = 5 + 4 = 9
\n\u2234 (-4) – 5 \u2260 5 – (-4)<\/p>\n

v) -3 and 8
\n(-3)- 8 = – 11
\n8 – (-3) = 8 + 3 = 11
\n\u2234(-3)-8 \u2260 8-(-3)
\nHence subtraction \u00a1s not commutative over integers.<\/p>\n

Question 2.
\nTake at least five pairs of integers and check whether they are closed under division. (Page No. 21)
\nStatement — Inference
\ni) 12 +- (- 2) = – 6 — Result is an integer<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nShow 8 – 6, 8 – 1, 8 – 0, 8 – ( -2), 8 – ( – 4) on the number line. (Page No. 5)
\nSolution:
\n\"AP
\n\u2234 8 – 6 = 2; 8 – 1 = 7; 8 – 0 = 8; 8 – (-2) = 10; 8 – (-4) = 12<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions Chapter 1 Integers InText Questions and Answers. AP State Syllabus 7th Class Maths Solutions 1st Lesson Integers InText Questions Try This Question 1. (Page No. 3) 9 + (-3) = 9 + (- 2) = 9 + C- 1) = 9 + 0 = 9 + 1 … Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":37721,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"https:\/\/apboardsolutions.com\/wp-content\/uploads\/2021\/04\/Chapter-1-Integers-InText-Questions-1.png","_links":{"self":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10795"}],"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\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/comments?post=10795"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10795\/revisions"}],"predecessor-version":[{"id":37722,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/posts\/10795\/revisions\/37722"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media\/37721"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/media?parent=10795"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/categories?post=10795"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.com\/wp-json\/wp\/v2\/tags?post=10795"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}