Solution
Sure, let's tackle each problem step by step.
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## **2. Counting Backwards in Thousands**
### **a) From 31,050 to 25,050**
To count backwards in thousands, subtract 1,000 each step:
1. **31,050**
2. **30,050** (31,050 - 1,000)
3. **29,050** (30,050 - 1,000)
4. **28,050** (29,050 - 1,000)
5. **27,050** (28,050 - 1,000)
6. **26,050** (27,050 - 1,000)
7. **25,050** (26,050 - 1,000)
**Sequence:**
31,050 → 30,050 → 29,050 → 28,050 → 27,050 → 26,050 → 25,050
---
### **b) From 49,900 to 42,900**
Similarly, subtract 1,000 each step:
1. **49,900**
2. **48,900** (49,900 - 1,000)
3. **47,900** (48,900 - 1,000)
4. **46,900** (47,900 - 1,000)
5. **45,900** (46,900 - 1,000)
6. **44,900** (45,900 - 1,000)
7. **43,900** (44,900 - 1,000)
8. **42,900** (43,900 - 1,000)
**Sequence:**
49,900 → 48,900 → 47,900 → 46,900 → 45,900 → 44,900 → 43,900 → 42,900
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### **c) From 78,999 to 9,999**
Subtracting 1,000 each step:
1. **78,999**
2. **77,999** (78,999 - 1,000)
3. **76,999** (77,999 - 1,000)
4. **75,999** (76,999 - 1,000)
5. **74,999** (75,999 - 1,000)
6. **73,999** (74,999 - 1,000)
7. **72,999** (73,999 - 1,000)
8. **71,999** (72,999 - 1,000)
9. **70,999** (71,999 - 1,000)
10. **69,999** (70,999 - 1,000)
11. **68,999** (69,999 - 1,000)
12. **67,999** (68,999 - 1,000)
13. **66,999** (67,999 - 1,000)
14. **65,999** (66,999 - 1,000)
15. **64,999** (65,999 - 1,000)
16. **63,999** (64,999 - 1,000)
17. **62,999** (63,999 - 1,000)
18. **61,999** (62,999 - 1,000)
19. **60,999** (61,999 - 1,000)
20. **59,999** (60,999 - 1,000)
21. **58,999** (59,999 - 1,000)
22. **57,999** (58,999 - 1,000)
23. **56,999** (57,999 - 1,000)
24. **55,999** (56,999 - 1,000)
25. **54,999** (55,999 - 1,000)
26. **53,999** (54,999 - 1,000)
27. **52,999** (53,999 - 1,000)
28. **51,999** (52,999 - 1,000)
29. **50,999** (51,999 - 1,000)
30. **49,999** (50,999 - 1,000)
31. **48,999** (49,999 - 1,000)
32. **47,999** (48,999 - 1,000)
33. **46,999** (47,999 - 1,000)
34. **45,999** (46,999 - 1,000)
35. **44,999** (45,999 - 1,000)
36. **43,999** (44,999 - 1,000)
37. **42,999** (43,999 - 1,000)
38. **41,999** (42,999 - 1,000)
39. **40,999** (41,999 - 1,000)
40. **39,999** (40,999 - 1,000)
41. **38,999** (39,999 - 1,000)
42. **37,999** (38,999 - 1,000)
43. **36,999** (37,999 - 1,000)
44. **35,999** (36,999 - 1,000)
45. **34,999** (35,999 - 1,000)
46. **33,999** (34,999 - 1,000)
47. **32,999** (33,999 - 1,000)
48. **31,999** (32,999 - 1,000)
49. **30,999** (31,999 - 1,000)
50. **29,999** (30,999 - 1,000)
51. **28,999** (29,999 - 1,000)
52. **27,999** (28,999 - 1,000)
53. **26,999** (27,999 - 1,000)
54. **25,999** (26,999 - 1,000)
55. **24,999** (25,999 - 1,000)
56. **23,999** (24,999 - 1,000)
57. **22,999** (23,999 - 1,000)
58. **21,999** (22,999 - 1,000)
59. **20,999** (21,999 - 1,000)
60. **19,999** (20,999 - 1,000)
61. **18,999** (19,999 - 1,000)
62. **17,999** (18,999 - 1,000)
63. **16,999** (17,999 - 1,000)
64. **15,999** (16,999 - 1,000)
65. **14,999** (15,999 - 1,000)
66. **13,999** (14,999 - 1,000)
67. **12,999** (13,999 - 1,000)
68. **11,999** (12,999 - 1,000)
69. **10,999** (11,999 - 1,000)
70. **9,999** (10,999 - 1,000)
**Sequence:**
78,999 → 77,999 → 76,999 → ... → 10,999 → 9,999
---
## **3. Filling in the Missing Numbers in Number Chains**
### **a) Starting at 91,999 and subtracting 10 each step**
**Given Chain:**
91,999 → -10 → □ → -10 → □ → -10 → □ → -10 → □ → -10 → □
**Filling in the blanks:**
1. **91,999**
2. **91,989** (91,999 - 10)
3. **91,979** (91,989 - 10)
4. **91,969** (91,979 - 10)
5. **91,959** (91,969 - 10)
6. **91,949** (91,959 - 10)
**Completed Chain:**
91,999 → -10 → **91,989** → -10 → **91,979** → -10 → **91,969** → -10 → **91,959** → -10 → **91,949**
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### **b) Starting at 24,701 and subtracting 200 each step**
**Given Chain:**
24,701 → -200 → □ → -200 → □ → -200 → □ → -200 → □
**Filling in the blanks:**
1. **24,701**
2. **24,501** (24,701 - 200)
3. **24,301** (24,501 - 200)
4. **24,101** (24,301 - 200)
5. **23,901** (24,101 - 200)
**Completed Chain:**
24,701 → -200 → **24,501** → -200 → **24,301** → -200 → **24,101** → -200 → **23,901**
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If you have any further questions or need additional assistance, feel free to ask!