{"id":25991,"date":"2021-06-24T17:35:39","date_gmt":"2021-06-24T12:05:39","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=25991"},"modified":"2021-06-25T10:24:13","modified_gmt":"2021-06-25T04:54:13","slug":"ncert-solutions-for-class-7-maths-chapter-1-ex-1-1","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/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":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 1 Integers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1<\/h2>\n

Question 1.
\nFollowing number line shows the temperature in degree Celsius (\u00b0C) at different places on a particular day.
\n\"NCERT
\n(a) Observe this number line and write the temperature of the places marked on it.
\n(b) What is the temperature difference between the hottest and the coldest places among the above?
\n(c) What is the temperature difference between Lahulspiti and Srinagar?
\n(d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?
\nAnswer:
\n\"NCERT<\/p>\n

(b) Temperature difference between the hottest and the coldest places
\n= Temperature of Bengaluru – Temperature of Lahulspiti
\n= 22\u00b0C – (- 8\u00b0C) = 22\u00b0C + 8\u00b0C
\n= 30\u00b0C<\/p>\n

(c) Temperature difference between Lahulspiti and Srinagar
\n= Temperature of Srinagar – Temperature of Lahulspiti
\n= – 2\u00b0C – (- 8\u00b0C) = – 2\u00b0C + 8\u00b0C = 6\u00b0C<\/p>\n

(d) Temperature of Srinagar and Shimla together
\n= Temperature of Srinagar + Temperature of Shimla
\n= – 2\u00b0C + 5\u00b0C = 3\u00b0C
\n3\u00b0C < 5\u00b0C
\nYes, sum of temperatures at Srinagar and Shimla is less than the temperature at Shimla. Now, temperature of Srinagar = – 2\u00b0C
\nAlso 3\u00b0C > – 2\u00b0C
\nNo, sum of the temperatures at Srinagar and Shimla is not less than the temperature at Srinagar.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nIn a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack\u2019s scores in five successive rounds were 25, – 5,- 10, 15 and 10, what was his total at the end?
\nAnswer:
\nScore in 1st round = 25
\nScore in 2nd round = – 5
\nScore in 3rd round = – 10
\nScore in 4th round = 15
\nScore in 5th round = 10
\nTotal score at the end
\n= 25 + (-5) + (-10) + 15 + 10
\n= 25 – 5 – 10 + 15 + 10
\n= 25 + 15 + 10 – 5 – 10
\n= 50 – 15 = 35<\/p>\n

Question 3.
\nAt Srinagar temperature was – 5\u00b0C on Monday and then it dropped by 2\u00b0C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4\u00b0C. What was the temperature on this day?
\nAnswer:
\nTemperature at Srinagar on Monday = -5\u00b0C
\nDrop in temperature at Srinagar on Tuesday = 2\u00b0C
\n\u2234 Temperature at Srinagar on Tuesday = – 5\u00b0C – 2\u00b0C = – 7\u00b0C
\nRise in temperature at Srinagar on Wednesday = 4\u00b0C
\n\u2234 Temperature at Srinagar on Wednesday = – 7\u00b0C + 4\u00b0C = – 3\u00b0C<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nA plane is flying at the height of 5000 m above the sea level. At a particular point, it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?
\n\"NCERT
\nAnswer:
\nSince the sea level is at 0 m and the plane is 5000 m above the sea level. Also the submarine is 1200 m below the sea level, so vertical distance between the plane and submarine is
\n= 5000 m – (- 1200 m)
\n= 5000 m + 1200 m
\n= 6200 m<\/p>\n

Question 5.
\nMohan deposits \u20b9 2,000 in his bank account and withdraws \u20b9 1, 642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan\u2019s account after the withdrawal.
\nAnswer:
\nAmount deposited = \u20b9 2000
\nAmount withdrawn = \u20b9 1642
\nBalance in Mohan\u2019s account = \u20b9 2000 – \u20b9 1642
\nafter withdrawal = \u20b9 358
\nAmount deposited is represented by positive integer.<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nRita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?
\n\"NCERT
\nAnswer:
\nDistance towards west is represented by negative integer
\nThe directions east and west are opposite to each other
\nDistance moved towards west = – 30 km
\nDistance moved towards east = + 20 km
\nHer final position from A = + 20 km + (- 30 km) = 20 km – 30 km
\n= – 10 km<\/p>\n

Question 7.
\nIn a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square?
\n(i)<\/p>\n\n\n\n\n\n
5<\/td>\n– 1<\/td>\n– 4<\/td>\n<\/tr>\n
– 5<\/td>\n– 2<\/td>\n7<\/td>\n<\/tr>\n
0<\/td>\n3<\/td>\n– 3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

(ii)<\/p>\n\n\n\n\n\n
1<\/td>\n– 10<\/td>\n0<\/td>\n<\/tr>\n
– 4<\/td>\n– 3<\/td>\n– 2<\/td>\n<\/tr>\n
– 6<\/td>\n4<\/td>\n– 7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Answer:
\n(i) Sum of the digits along
\n1st row = 5 + (- 1) + (- 4)
\n= 5 – 1 – 4 = 0
\n2nd row = – 5 + (- 2) + 7
\n= -5 – 2 + 7 = 0
\n3rd row = 0 + 3 + (- 3)
\n=0 + 3 – 3 = 0
\n1st column = 5 + (- 5) + 0
\n= 5 – 5 + 0 = 0
\n2nd column = -1 + (- 2) + 3
\n= -1 -2 + 3 = 0
\n3rd column = – 4 + 7 + (- 3)
\n= – 4 + 7- 3 = 7 – 7 = 0
\n1st diagonal = 5 + (- 2) + (- 3)
\n= 5 – 2 – 3 = 0
\n2nd diagonal = – 4 + (- 2) + 0
\n= – 4 – 2 + 0
\n= – 6 \u2260 0
\n\u2234 Square (i) is not a magic square.<\/p>\n

(ii) Sum of the digits along
\n1st row = 1 + (- 10) + 0
\n= 1 – 10 + 0 = – 9
\n2nd row = – 4 + (- 3) + (- 2)
\n= – 4 – 3 – 2 = -9
\n3rd row = – 6 + 4 + (- 7)
\n= – 6 + 4 – 7 = – 13 + 4 = -9
\n1st column = 1 + (- 4) + (- 6)
\n= 1 – 4 – 6 = 1 – 10 = -9
\n2nd column = (- 10 ) + (- 3) + 4
\n= -10 -3 + 4 = – 13 + 4 = – 9
\n3rd column = 0 + (-2) + (-7)
\n= 0 – 2 – 7 = 0 – 9 = – 9
\n1st diagonal = 1 + (- 3) + (- 7)
\n= 1 – 3 -7 = 1 – 10 = – 9
\n2nd diagonal= – 6 + (- 3) + 0
\n= -9 + 0 = -9
\n\u2234 Sum of each row, column and diagonal is the same.
\n\u2234 The square (ii) is the magic square.<\/p>\n

\"NCERT<\/p>\n

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

\"NCERT<\/p>\n

Question 9.
\nUse the sign of >, < or = in the box make the statements true.
\n\"NCERT
\n\"NCERT
\nAnswer:
\n(a) (- 8) + (- 4) = – 8 – 4 = -12
\n(- 8) – (- 4) = – 8 + 4 = – 4
\n\u2234 – 12 < – 4
\n\"NCERT<\/p>\n

(b) (-3) + 7 – (19) = -3 + 7 – 19
\n= – 22 + 7 = – 15
\n15 – 8 + (- 9) = 15 – 8 – 9
\n= 15 – 17 = – 2
\n\u2234 -15 < – 2
\n\"NCERT
\n(c) 23 – 41 + 11 = 34 – 41 = – 7
\n23 – 41 – 11 = 23 – 52 = – 29
\n\u2234 – 7 > – 29
\n\"NCERT<\/p>\n

(d) 39 + (- 24) – (15) = 39 – 24 – 15
\n= 39 – 39 = 0
\n36 + (- 52) – (- 36) = 36 – 52 + 36
\n= 72 – 52 = 20
\n\u2234 0 < 20
\n\"NCERT<\/p>\n

(e) – 231 + 79 + 51 = – 231 + 130 = – 101
\n– 399 + 159 + 81 = – 399 + 240 = – 159
\n\u2234 -101 > -159
\n\"NCERT<\/p>\n

\"NCERT<\/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\"NCERT
\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

NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts. 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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. 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