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Answers
Chapter 1: Numbers (b) ` 4,45,89,414 ˃ ` 2,03,45,500 ˃ ` 89,32,000 ˃
` 13,05,382
Exercise 1.1
(c) Car D; Car A
1. (a) 4,05,30,217; Four crore fi ve lakh thirty thousand 3. Smallest number: 12,34,578; Largest number: 87,543,21
two hundred seventeen
4. (a) 99,99,99,987 (b) 99,99,399
(b) 13,23,05,604; Thirteen crore twenty-three lakh fi ve
thousand six hundred four (c) Predecessor: 99,99,999 Successor: 1,00,00,001
(c) 8,17,54,008; Eight crore seventeen lakh fi y-four 5. (a) 10,23,413 ˂ 12,34,341 ˂ 13,22,431 ˂ 18,32,432;
thousand eight 18,32,432 ˃ 13,22,431 ˃ 12,34,341 ˃ 10,23,413
(d) 85,32,562; Eighty-fi ve lakh thirty-two thousand fi ve (b) 1,41,004 ˂ 9,14,004 ˂ 10,40,000 ˂ 44,10,001;
hundred sixty-two 44,10,001 ˃ 10,40,000 ˃ 9,14,004 ˃ 1,41,004
2. (a) 2,531,786; Two million fi ve hundred thirty-one 6. (a) 89,43,501 (b) 3,43,47,000 (c) 12,00,00,001
thousand seven hundred eighty-six Exercise 1.4
(b) 13,275,196; Thirteen million two hundred 1. (a) 14,21,350 (b) 27,83,090 (c) 1,00,92,350
seventy-fi ve thousand one hundred ninety-six
(d) 3,12,42,180 (e) 24,99,860 (f) 60,61,070
(c) 8,203,005; Eight million two hundred three
thousand fi ve 2. (a) 36,92,400 (b) 12,31,400 (c) 1,00,24,600
(d) 17,17,500 (e) 1,04,12,300 (f) 8,88,45,600
(d) 105,327,550; One hundred fi ve million three
hundred twenty-seven thousand fi ve hundred fi y 3. (a) 46,36,000 (b) 49,10,000 (c) 8,21,73,000
3. (a) 31,02,21,506 (b) 4,05,71,205 (c) 40,27,02,683 (d) 7,31,20,000 (e) 54,43,22,000 (f) 1,04,31,000
(d) 82,40,504 (e) 26,41,06,402 4. ‘The NDMC spent ` 33,95,000 on repairing roads’.
4. (a) 4,223,646 (b) 36,004,192 (c) 753,042,893 Review Exercise
(d) 5,463,251 (e) 75,000,305 1. Indian Number Interna onal
5. (a) 10 (b) 100 (c) 5 (d) 500 (e) 50 (f) 50
System Number System
Exercise 1.2 (a) 9,43,26,140 94,326,140
1. Number Face Value Place Value (b) 43,65,47,832 436,547,832
(a) 85,43,715 4 40,000
(c) 1,02,34,793 10,234,793
(b) 26,07,539 7 7,000
(d) 3,94,62,149 39,462,149
(c) 97,42,313 7 7,00,000
2. (a) 100 (b) 20 (c) 25 (d) 200
(d) 82,05,35,444 2 2,00,00,000
3. (a) Sum: 40,00,020; Diff erence ; 3,999,980
2. (a) Sum: 80,00,60,000; Diff erence: 79,99,40,000 (b) Sum: 10,00,30,000; Diff erence: 9,99,70,000
(b) Sum: 9,00,00,900; Diff erence: 8,99,99,100
(c) Sum: 1,00,800; Diff erence: 99,200
(c) Sum: 6,08,000; Diff erence: 5,92,000
4. (a) Predecessor: 8,14,99,998; Successor: 8,15,00,000
(d) Sum: 80,00,020; Diff erence: 79,99,980
(b) Predecessor: 3,21,46,793; Successor: 3,21,46,795
3. (a) 80,00,000 + 5,00,000 + 30,000 + 4,000 + 900 + 10 + 7
(c) Predecessor: 78,43,14,620; Successor: 78,43,14,622
(b) 3,00,00,000 + 70,00,000 + 2,00,000 + 5,000 + 400 + 5. Smallest: 10,00,000; 1,00,00,000; 10,00,00,000
10 + 5
Largest: 99,99,999; 9,99,99,999; 99,99,99,999
(c) 7,00,00,000 + 80,00,000 + 2,00,000 + 50,000 +
4,000 + 200 + 50 + 1 6. (a) 20,00,00,000 + 6,00,00,000 + 9,00,000 + 40,000 +
8,000 + 600 + 70 + 2
(d) 10,00,00,000 + 8,00,00,000 + 70,00,000 + 1,00,000
+ 30,000 + 2,000 + 800 + 10 + 5 (b) 8,00,00,000 + 20,00,000 + 3,00,000 + 40,000 + 800 +
10 + 7
4. (a) 8,74,13,582 (b) 4,37,62,513
(c) 10,00,000 + 5,00,000 + 40,000 + 3,000 + 500 + 40
(c) 23,04,70,562 (d) 83,42,723
7. (a) 88,76,042 < 88,78,432 < 88,87,549;
Exercise 1.3 88,87,549 > 88,78,432 > 88,76,042
1. (a) ˂ (b) ˃ (c) ˃ (d) ˂ (b) 2,03,14,620 < 2,03,14,627 < 2,03,14,635;
2. (a) (i) ˂ (ii) ˃ (iii) ˂ (iv) ˃ 2,03,14,635 > 2,03,14,627 > 2,03,14,620
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