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(d) 1,51,76,730 (e) 8,88,03,815 (f) 27,33,49,650 2. 144 people
(g) 7,94,484 (h) 67,98,090 (i) 57,25,260 3. 16 × 6 = 96 16 × 60 = 960 16 × 600 = 9,600
(j) 5,30,768 (k) 4,95,82,503 (l) 76,73,460 16 × 6000 = 96,000 16 × 60000 = 9,60,000
16 × 600000 = 96,00,000
Exercise 2.5
Q = Quotient, R = Remainder Chapter 3: Factors and Multiples
1. (a) Q = 876, R = 55 (b) Q = 1,734, R = 189
(c) Q = 9,415, R = 122 (d) Q = 2,93,520, R = 4 Let’s Recall
(e) Q = 2,529, R = 3 (f) Q = 51,721, R = 74 1. (a) 1, 2, 23, 46 (b) 1, 5, 17, 85 (c) 1, 2, 4, 31, 62, 124
2. (a) Q = 3,579, R = 53 (b) Q = 7,404, R = 39 (d) 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140,
(c) Q = 1,60,445, R = 1 (d) Q = 4,123, R = 203 280
(e) Q = 1,002, R = 16 (f) Q = 21,131, R = 56 (e) 1, 3, 5, 15, 25, 75
(g) Q = 12,951, R = 1,053 (h) Q = 5,343, R = 378 2. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
(i) Q = 251, R = 70 3. (a) 16, 32, 48 (b) 2 (c) 0 and 1 (d) 2
3. (a) Q = 6,129, R = 0 (b) Q = 8,76,817, R = 70 (e) 1, 2, 3, 4, 6, 12
(c) Q = 9,306, R = 320 (d) Q = 28,099, R = 500 4. Students to complete the table on their own.
(e) Q = 16,27,420, R = 1000 (f) Q = 4,409, R = 4400
(a) 8, 16, 24, 32, 40 (b) 12, 24, 36
4. (a) Q = 3,524, R = 9 (b) Q = 60,714, R = 8
(c) Q = 11,536, R = 79 (d) Q = 580, R = 73 (c) 24, 48, 72 (d) 24
(e) Q = 2,401, R = 389 (f) Q = 810, R = 15 5. (a) 84, 126 (b) 102, 153 (c) 144, 216
Exercise 2.6 (d) 198, 297
1. 37,56,720 chocolates 2. 32,00,050 boxes 6. (a) 24 (b) 98
3. 278 4. 1,27,750 jeans 5. ` 12,81,880 2 12 2 49
6. 245 sweets 7. 9,55,229 boys 8. 42,391
9. 10,23,98,976 2 6 7 7
Exercise 2.7 2 3
(a) 0 (b) 8 (c) 91,506 (d) 53,209 (e) 647 (c) 111 (d)
(f) 7,544 (g) 92,919 (h) 5,85,645 132
Let’s Evaluate 3 37 2 66
1. (a) 1,09,456 (b) 8,56,19,805 (c) 90,23,84,234 6 11
(d) 3,49,15,120 (e) 8,28,89,782
2. (a) 12,76,862 (b) 3,83,81,008 2 3
3. (a) 82,59,34,040 (b) 4,83,89,552 (c) 55,69,30,800 7. (a) 2 × 11 × 11
4. (a) Q = 275, R = 38 (b) Q = 2,167, R = 37 (b) 2 × 2 × 3 × 13 (c) 2 × 2 × 5 × 5 × 5
(c) Q = 8,93,431, R = 657 (d) 2 × 3 × 5 × 5 × 5
5. ` 6,832 6. ` 10,22,640; 28 tables
7. (a) 15,116 (b) 201 (c) 0 (d) 1,17,352 (e) 44 Exercise 3.1
8. (a) 928 × (364 + 1,029) = (928 × 364) + (928 × 1,029) 1. (a) divisible by 3 (b) not divisible by 3 and 9
(b) 6,543; a number divided by 1 gives the same (c) divisible by 3 and 9 (d) not divisible by 3 and 9
number. 2. (a) divisible by 5 (b) divisible by 5 and 10
(c) 9,146 (d) 0 (e) 14,31,67,200 (f) not defined (c) not divisible (d) divisible by 5 and 10
3. (a), (c) and (d)
Values and Life Skills 4. Students to do on their own.
1. ` 16,63,81,825 2. 1,036 mobile phones
Exercise 3.2
Scratch Your Brain 1. (a), (b), (e)
1. 3 vases of 10 pink carnations and 4 vases of 5 yellow 2. Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,
roses. 41, 43, 47
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