{"id":26143,"date":"2021-06-25T10:35:24","date_gmt":"2021-06-25T05:05:24","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=26143"},"modified":"2022-03-02T10:47:35","modified_gmt":"2022-03-02T05:17:35","slug":"ncert-solutions-for-class-7-maths-chapter-1-ex-1-3","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.3"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 1 Integers Ex 1.3 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.3<\/h2>\n

Question 1.
\nFind each of the following products :
\n(a) 3 \u00d7 (-1)
\n(b) (-1) \u00d7 225
\n(c) (-21) \u00d7 (-30)
\n(d) (-316) \u00d7 (-1)
\n(e) (-15) \u00d7 0 \u00d7 (-18)
\n(f) (-12) \u00d7 (-11) \u00d7 (10)
\n(g) 9 \u00d7 (-3) \u00d7 (- 6)
\n(h) (-18) \u00d7 (-5) \u00d7 (-4)
\n(i) (-1) \u00d7 (- 2) \u00d7 (-3) \u00d7 4
\n(j) (-3) \u00d7 (-6) \u00d7 (-2) \u00d7 (-1)
\nAnswer:
\n(a) 3 \u00d7 (-1) = – (3 \u00d7 1) = -3
\n(b) (-1) \u00d7 225 = – (1 \u00d7 225) = -225
\n(c) (-21) \u00d7 (- 30) = 21 \u00d7 30 = 630
\n(d) (-316) \u00d7 (-1) = 316 \u00d7 1 = 316
\n(e) (-15) \u00d7 0 \u00d7 (-18) = (15 \u00d7 0) \u00d7 18
\n= 0 \u00d7 18 = 0<\/p>\n

(f) (-12) \u00d7 (-11) \u00d7 10
\n= [(-12) \u00d7 (-11)] \u00d7 10
\n= (12 \u00d7 11) \u00d7 10 = 132 \u00d7 10 = 1320<\/p>\n

(g) 9 \u00d7 (-3) \u00d7 (-6) = 9 \u00d7 [(-3) \u00d7 (-6)]
\n= 9 \u00d7 (3 \u00d7 6) = 9 \u00d7 18 = 162<\/p>\n

(h) (-18) \u00d7 (-5) \u00d7 (-4)
\n= [(-18) \u00d7 (-5)] \u00d7 (-4)
\n= (18 \u00d7 5) \u00d7 (-4) = 90 \u00d7 (-4)
\n= – (90 \u00d7 4) = -360<\/p>\n

(i) (-1) \u00d7 (-2) \u00d7 (-3) \u00d7 4
\n= [(-1) \u00d7 (-2)] \u00d7 [(-3) \u00d7 4]
\n= (1 \u00d7 2) \u00d7 [- (3 \u00d7 4)]
\n= 2 \u00d7 [12] = 2 \u00d7 (-12) = -24<\/p>\n

(j) (-3) \u00d7 (-6) \u00d7 (-2) \u00d7 (-1)
\n= [(-3) \u00d7 (-6)] \u00d7 [(- 2) \u00d7 (-1)]
\n= (3 \u00d7 6) \u00d7 (2 \u00d7 1) = 18 \u00d7 2 = 36<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nVerify the following:
\n(a) 18 \u00d7 [7 + (-3)] = [18 \u00d7 7] + [18 \u00d7 (-3)]
\n(b) (-21) \u00d7 [(- 4) + (-6)]
\n= [(-21) \u00d7 (- 4)] + [(-21) \u00d7 (-6)]
\nAnswer:
\n(a) L.H.S = 18 \u00d7 [7 + (-3)]
\n= 18 \u00d7 [7-3] = 18 \u00d7 4 = 72
\nR.H.S = [18 \u00d7 7] + [18 \u00d7 (-3)]
\n= 126 + (-54) = 126 – 54 = 72
\n\u2234 L.H.S = R.H.S<\/p>\n

(b) L.H.S = (-21) \u00d7 [(-4) + (-6)]
\n= (-21) \u00d7 [-4 -6]
\n= (-21) \u00d7 (-10) = 210
\nR.H.S = [(-21) \u00d7 (-4)] + [(-21) \u00d7 (-6)]
\n= (21 \u00d7 4) + (21 \u00d7 6)
\n= 84 + 126 = 210
\n\u2234 L.H.S = R.H.S<\/p>\n

Question 3.
\n(i) For any integer a, what is (- 1) \u00d7 a equal to ?
\n(ii) Determine the integer whose product with (-1) is
\n(a) -22
\n(b) 37
\n(c) 0
\nAnswer:
\n(i) (-1) \u00d7 a = – a
\n\u2234 (- 1) \u00d7 (any integer)
\n= additive inverse of the integer<\/p>\n

(ii) (a) – 22 = (-1) \u00d7 22
\n(b) 37 = (-1) \u00d7 (- 37)
\n(c) 0 = (-1) \u00d7 0<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nStarting from (-1) \u00d7 5, write various products showing some pattern to show
\n(-1) \u00d7 (-1) = 1.
\nAnswer:
\n(-1) \u00d7 5 = -5
\n(-1) \u00d7 4 = -4
\n(-1) \u00d7 3 = -3
\n(-1) \u00d7 2 = -2
\n(-1) \u00d7 1 = -1
\n(-1) \u00d7 0 = 0
\n(-1) \u00d7 (-1) = 1<\/p>\n

Question 5.
\nFind the product, using suitable properties:
\n(a) 26 \u00d7 (-48) + (-48) \u00d7 (-36)
\n(b) 8 \u00d7 53 \u00d7 (-125)
\n(c) 15 \u00d7 (-25) \u00d7 (-4) \u00d7 (-10)
\n(d) (-41) \u00d7 102
\n(e) 625 \u00d7 (-35) + (-625) \u00d7 65
\n(f) 7 \u00d7 (50 – 2)
\n(g) (-17) \u00d7 (-29)
\n(h) (-57) \u00d7 (-19) + 57
\nAnswer:
\n(a) 26 \u00d7 (- 48) + (-48) \u00d7 (-36)
\n= (-48) \u00d7 [26 + (-36)]
\n(using distributive property)
\n= (-48) \u00d7 (26 – 36)
\n= (-48) \u00d7 (-10) = 480<\/p>\n

(b) 8 \u00d7 53 \u00d7 (-125) = (8 \u00d7 53) \u00d7 (-125)
\n(using associative property)
\n= 424 \u00d7 (-125) = -424 \u00d7 125 = – 53000<\/p>\n

(c) 15 \u00d7 (-25) \u00d7 (-4) \u00d7 (-10)
\n= [(-25) \u00d7 (- 4)] \u00d7 [(-10) \u00d7 15]
\n(using associative property)
\n= (100) \u00d7 (-150) = -100 \u00d7 150 = -15000<\/p>\n

(d) (-41) \u00d7 102 = -(41 \u00d7 102)
\n= – [41 \u00d7 (100 + 2)]
\n(Distributive property)
\n= – [41 \u00d7 100 + 41 \u00d7 2]
\n= – [4100 + 82] = -4182<\/p>\n

(e) 625 \u00d7 (-35) + (-625) \u00d7 65
\n= 625 \u00d7 [-35 + (-1) (65)]
\n(Distributive property)
\n= 625 \u00d7 [-35 -65]
\n= 625 \u00d7 (-100) = -62500<\/p>\n

(f) 7 \u00d7 (50 – 2) = 7 \u00d7 50 + 7 \u00d7 (-2)
\n= 350 – 14 = 336
\n(using distributive property)<\/p>\n

(g) (-17) \u00d7 (-29) = 17 \u00d7 29 = 17 \u00d7 (30 – 1)
\n(using distributive property)
\n= 17 \u00d7 30 + 17 \u00d7 (-1) = 510 – 17 = 493<\/p>\n

(h) (-57) \u00d7 (-19) + 57 = 57 \u00d7 19 + 57
\n= 57 \u00d7 (19 + 1)
\n(using distributive property)
\n= 57 \u00d7 20 = 1140<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nA certain freezing process requires that room temperature be lowered from 40\u00b0C at the rate of 5\u00b0C every hour. What will be the room temperature 10 hours after the process begins?
\nAnswer:
\nRoom temperature = 40\u00b0C
\nChange of temperature = – 5\u00b0C In 10 hours,
\nChange of temperature = 40\u00b0C + 10 x (-5)\u00b0C
\n= 40\u00b0C + (-50\u00b0C) = 40\u00b0C – 50\u00b0C = -10\u00b0C<\/p>\n

Question 7.
\nIn a class test containing 10 questions, 5 marks are awarded for every correct answer and (- 2) marks are awarded for every incorrect answer and 0 for questions not attempted.
\n(i) Mohan gets four correct and six incorrect answers. What is his score?
\n(ii) Reshma gets five correct answers and five incorrect answers, what is her score?
\n(iii) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
\nAnswer:
\nTotal number of questions = 10
\nMarks for a correct answer = 5
\nMarks for an incorrect answer = -2
\nMarks for un-answered question = 0
\n(i) Mohan\u2019s score = 4 \u00d7 (5) + 6 \u00d7 (-2)
\n= 20 + (-1)(6 \u00d7 2) = 20 – 12 = 8<\/p>\n

(ii) Reshma\u2019s score = 5 \u00d7 (5) + 5 \u00d7 (-2)
\n= 25 – 10 = 15<\/p>\n

(iii) Heena\u2019sscore = 2 \u00d7 (5) + 5 \u00d7 (-2) + 3 \u00d7 0
\n= 10 + (-10) + 0= 10 – 10 = 0<\/p>\n

\"NCERT<\/p>\n

Question 8.
\nA cement company earns a profit of \u20b9 8 per bag of white cement sold and a loss of \u20b9 5 per bag of grey cement sold.
\n(a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?
\n(b) What is the number of white cement bags it must sell to have neither profit nor loss, if the number of grey bags sold is 6,400 bags.
\nAnswer:
\n(a) The company sells 3,000 bags of white cement
\n\u2234 It\u2019s profit = \u20b9 3000 \u00d7 8 = \u20b9 24000
\nAlso, the company sells 5000 bags of grey cement
\n\u2234 It\u2019s loss = \u20b9 5000 \u00d7 5 = \u20b9 25000
\nSince \u20b9 25000 > 24,000
\n\u2234 The company is in loss
\nLoss amount = 25000 – 24,000
\n= \u20b9 1000<\/p>\n

(b) Let the number of white cement bags sold be \u2018x\u2018
\nGiven : No profit and No loss
\nNumber of grey bags sold = 6400
\nNumber of white bags \u00d7 profit
\n= Number of grey bags \u00d7 loss
\nx \u00d7 8 = 6400 \u00d7 5
\nx = \\(\\frac{6400 \\times 5}{8}\\) = 800 \u00d7 5 = 4000
\n\u2234 Number of white cement bags = 4000<\/p>\n

\"NCERT<\/p>\n

Question 9.
\nReplace the blank with an integer to make it a true statement.
\n(a) (-3) \u00d7 …………. = 27
\n(b) 5 \u00d7 …………. = -35
\n(c) ………… \u00d7 (-8) = -56
\n(d) ………….. \u00d7 (- 12) = 132
\nAnswer:
\n(a) -3 \u00d7 = 27
\n(-3) \u00d7 (-9) = 27<\/p>\n

(b) 5 \u00d7 = -35
\n5 \u00d7 (-7) = -35<\/p>\n

(c) ………….. \u00d7 (-8) = -56
\n7 \u00d7 (-8) = -56<\/p>\n

(d) …………. \u00d7 (-12) = 132
\n(-11) \u00d7 (-12) = 132<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.3 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.3 Question 1. Find each of the following products : (a) 3 \u00d7 (-1) (b) (-1) \u00d7 225 (c) (-21) \u00d7 (-30) …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.3<\/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":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.3 - MCQ Questions<\/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:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-1-ex-1-3\/\" \/>\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 1.3 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.3 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 1.3 Question 1. 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