{"id":25991,"date":"2021-06-24T17:35:39","date_gmt":"2021-06-24T12:05:39","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=25991"},"modified":"2022-03-02T10:47:36","modified_gmt":"2022-03-02T05:17:36","slug":"ncert-solutions-for-class-7-maths-chapter-1-ex-1-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-1\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1"},"content":{"rendered":"
Question 8. \nVerify a – (- b) = a + b for the following values of a and b. \n(i) a = 21, b = 18 \n(ii) a = 118, b = 125 . \n(iii) a = 75, b = 84 \n(iv) a = 28, b = 11 \nAnswer: \n(i) L.H.S = a – (-b) = 21 – (-18) \n= 21 + 18 = 39 \nR.H.S = a + b = 21 + 18 = 39 \n\u2234 a – (- b) = a + b<\/p>\n
(ii) L.H.S = a – (- b) = 118 – (-125) \n= 118 + 125 = 243 \nR.H.S = a + b = 118 + 125 = 243 \n\u2234 a – (- b) = a + b<\/p>\n
(iii) L.H.S = a – (- b) = 75 – (- 84) \n= 75 + 84 = 159 \nR.H.S = a + b = 75 + 84 = 159 \n\u2234 a – (-b) = a + b<\/p>\n
(iv) L.H.S = a – (- b) = 28 – (- 11) \n= 28 + 11 = 39 \nR.H.S = a + b = 28 +11 = 39 \n\u2234 a – (- b) = a + b<\/p>\n
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Question 9. \nUse the sign of >, < or = in the box make the statements true. \n \n \nAnswer: \n(a) (- 8) + (- 4) = – 8 – 4 = -12 \n(- 8) – (- 4) = – 8 + 4 = – 4 \n\u2234 – 12 < – 4 \n<\/p>\n
Question 10. \nA water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. \n \n(i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level? \n(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step? \n(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the 1 following: \n(a) – 3 + 2 -… = – 8 \n(b) 4 – 2 + … = 8. \nIn (a) the sum (- 8) represents going down by eight steps. So, what will the sum 8 in (b) represent? \nAnswer: \n(i) To reach the water level his jumps will T be as follows: \n(- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) = – 8 \nHence, in 11 jumps he will reach the 1 ninth step (water level)<\/p>\n
(ii) To reach back the top step his jumps will be as follows: \n4 + (-2) + 4 +(-2) + 4 = 8 \nTherefore, he will reach back the top step in 5 jumps.<\/p>\n
(iii) (a) (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3 + 2) + (- 3) = – 8 \n(b)4 – 2 + 4 – 2 + 4 – 2 + 4 – 2 = 8 \nAlso in (a) the sum (- 8) represent going down by 8 steps and in (b) the sum (+ 8) will represent going up by 8 steps. \nOR \n(i) The position of the monkey after the: \n(a) 1st jump is at the fourth step. \n(b) 2nd jump is at the 2nd step. \n(c) 3rd jump is at the 5th step. \n(d) 4th jump is at the 3rd step. \n(e) 5th jump is at the 6th step. \n(f) 6th jump is at the 4th step. \n(g) 7th jump is at the 7th step. \n(h) 8th jump is at the 5th step. \n(i) 9th jump is at the 8th step. \n(j) 10th jump is at the 6th step. \n(k) 11th jump is at the 9th step. \n\u2234 Required number of jumps = 11.<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1 Question 1. Following number line shows the temperature in degree Celsius (\u00b0C) at different places on a particular day. (a) Observe …<\/p>\n