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(d) 2 4 5 (e) Q = 103, R = 0 (f) Q = 115, R = 7
4 0 1 2 (g) Q = 152, R = 4 (h) Q = 109, R = 27
8 6 0
0 1 1 2. 11 tickets 3. 13 packs
1 1 3 6 2 5 4. (a) 9 × 4 = 36, 4 × 9 = 36 (b) 6 × 8 = 48, 8 × 6 = 48
+ 0 + 9 2 0 0 1 (c) 5 × 7 = 35, 7 × 5 = 35 (d) 12 × 5 = 60, 5 × 12 = 60
1 1 0 4 8 0 5. (a) 72 ÷ 9 = 8, 72 ÷ 8 = 9 (b) 12 ÷ 2 = 6, 12 ÷ 6 = 2
1 5 1 (c) 28 ÷ 7 = 4, 28 ÷ 4 = 7 (d) 45 ÷ 3 = 15, 45 ÷ 15 = 3
+ 7 1 4 0 = 1,05,840 6. (a) not defined (b) 1 (c) 6,217 (d) 0
8 (e) 101 (f) 1 (g) 1 (h) 0
(e) 6 6 8
6 3 3 4 Exercise 6.1
6 6 8 (a) Q = 43, R = 1 (b) Q = 102, R = 2
5 5 7
9 (c) Q = 98, R = 6 (d) Q = 132, R = 2
1 2 4 4 2 (e) Q = 235, R = 0 (f) Q = 227, R = 5
+ 3 + 14 5 3 3 4
4 1 6 2 0 0 0 (g) Q = 792, R = 0 (h) Q = 3,004, R = 0
+ 22 (i) Q = 978, R = 4 (j) Q = 1,200, R = 5
2 4 2 2 6 0 = 4,64,260 (k) Q = 990, R = 7 (l) Q = 2,255, R = 3
Exercise 6.2
(f) 4 2 3 (a) Q = 65, R = 12 (b) Q = 28, R = 12
8 3 1 2
2 6 4 (c) Q = 41, R = 17 (d) Q = 117, R = 14
0 0 0 (e) Q = 141, R = 22 (f) Q = 234, R = 18
0 0 0 0 (g) Q = 263, R = 21 (h) Q = 202, R = 8
0 0 0
3 1 2 8 4 6 (i) Q = 57, R = 14 (j) Q = 201, R = 0
3 + 8 (k) Q = 106, R = 6 (l) Q = 260, R = 18
9 1 2 4 6 = 3,39,246 Exercise 6.3
1. (a) Q = 877, R = 1 (b) Q = 807, R = 0
2. (a) 3,376 (b) 5,535 (c) 12,903 (d) 26,368 (c) Q = 259, R = 3 (d) Q = 312, R = 0
(e) 53,352 (f) 19,008 (g) 6,11,645 (h) 4,50,495 2. (a) Q = 955, R = 2 (b) Q = 763, R = 6
Let’s Evaluate (c) Q = 422, R = 0 (d) Q = 640, R = 8
1. (a) 21,123 (b) 12,635 (c) 3,38,480 (d) 2,795 Exercise 6.4
(e) 2,646 (f) 9,462 (g) 25,950 (h) 1,51,848 1. (a) Quotient = 6, remainder = 2
(i) 3,97,600 (j) 3,48,400 (k) 2,14,340 (l) 4,90,000
(m) 39,416 (n) 14,28,972 (o) 4,96,174 (p) 5,57,708 (b) Quotient = 23, remainder = 8
2. (a) 3,000 (b) 6,400 (c) 150 (d) 24,000 (c) Quotient = 1, remainder = 67
(e) 4,800 (f) 70,000 (d) Quotient = 20, remainder = 96
3. ` 13,01,634 4. Students to do on their own. (e) Quotient = 4, remainder = 379
5. (a) 143 (b) 1,327 (f) Quotient = 9, remainder = 81
6. (a) 6,120 (b) 5,980 (c) 5,152 2. (a) Q = 12, R = 0 (b) Q = 141, R = 30
(c) Q = 13, R = 100 (d) Q = 13, R = 100
Values and Life Skills (e) Q = 5, R = 0 (f) Q = 79, R = 7,000
1. 2,373 birds 2. 42
(g) Q = 43, R = 1,000 (h) Q = 101, R = 100
Scratch Your Brain (i) Q = 16, R = 3,000
1. 16,575 tiles Exercise 6.5
2. (a) 504 (b) 1960 (c) 11 (d) 100
(e) 44400 (f) 419040 Estimated quotient Actual quotient Actual Remainder
(a) 8 6 0
Chapter 6: Division (b) 9 7 8
Note: Q → Quotient R → Remainder (c) 8 7 20
Let’s Recall (d) 7 8 3
1. (a) Q = 13, R = 0 (b) Q = 8, R = 6 (e) 81 84 33
(c) Q = 22, R = 2 (d) Q = 116, R = 3 (f) 155 166 25
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