1. The problem is to multiply two-digit numbers by one-digit numbers.
2. The general formula for multiplication is:
$$a \times b = c$$
where $a$ and $b$ are numbers and $c$ is the product.
3. Let's solve the first problem: $23 \times 5$.
4. Multiply the units digit: $3 \times 5 = 15$. Write down 5 and carry over 1.
5. Multiply the tens digit: $2 \times 5 = 10$. Add the carry over: $10 + 1 = 11$.
6. So, $23 \times 5 = 115$.
7. Next, $43 \times 7$:
8. Units: $3 \times 7 = 21$. Write 1, carry 2.
9. Tens: $4 \times 7 = 28$. Add carry: $28 + 2 = 30$.
10. Result: $43 \times 7 = 301$.
11. Next, $38 \times 8$:
12. Units: $8 \times 8 = 64$. Write 4, carry 6.
13. Tens: $3 \times 8 = 24$. Add carry: $24 + 6 = 30$.
14. Result: $38 \times 8 = 304$.
15. Next, $84 \times 9$:
16. Units: $4 \times 9 = 36$. Write 6, carry 3.
17. Tens: $8 \times 9 = 72$. Add carry: $72 + 3 = 75$.
18. Result: $84 \times 9 = 756$.
19. Next, $99 \times 9$:
20. Units: $9 \times 9 = 81$. Write 1, carry 8.
21. Tens: $9 \times 9 = 81$. Add carry: $81 + 8 = 89$.
22. Result: $99 \times 9 = 891$.
23. Next, $34 \times 7$:
24. Units: $4 \times 7 = 28$. Write 8, carry 2.
25. Tens: $3 \times 7 = 21$. Add carry: $21 + 2 = 23$.
26. Result: $34 \times 7 = 238$.
27. Next, $43 \times 9$:
28. Units: $3 \times 9 = 27$. Write 7, carry 2.
29. Tens: $4 \times 9 = 36$. Add carry: $36 + 2 = 38$.
30. Result: $43 \times 9 = 387$.
31. Next, $54 \times 8$:
32. Units: $4 \times 8 = 32$. Write 2, carry 3.
33. Tens: $5 \times 8 = 40$. Add carry: $40 + 3 = 43$.
34. Result: $54 \times 8 = 432$.
35. Next, $79 \times 8$:
36. Units: $9 \times 8 = 72$. Write 2, carry 7.
37. Tens: $7 \times 8 = 56$. Add carry: $56 + 7 = 63$.
38. Result: $79 \times 8 = 632$.
39. Next, $76 \times 7$:
40. Units: $6 \times 7 = 42$. Write 2, carry 4.
41. Tens: $7 \times 7 = 49$. Add carry: $49 + 4 = 53$.
42. Result: $76 \times 7 = 532$.
43. Next, $89 \times 4$:
44. Units: $9 \times 4 = 36$. Write 6, carry 3.
45. Tens: $8 \times 4 = 32$. Add carry: $32 + 3 = 35$.
46. Result: $89 \times 4 = 356$.
47. Next, $71 \times 8$:
48. Units: $1 \times 8 = 8$. Write 8.
49. Tens: $7 \times 8 = 56$.
50. Result: $71 \times 8 = 568$.
51. Next, $83 \times 5$:
52. Units: $3 \times 5 = 15$. Write 5, carry 1.
53. Tens: $8 \times 5 = 40$. Add carry: $40 + 1 = 41$.
54. Result: $83 \times 5 = 415$.
55. Next, $75 \times 6$:
56. Units: $5 \times 6 = 30$. Write 0, carry 3.
57. Tens: $7 \times 6 = 42$. Add carry: $42 + 3 = 45$.
58. Result: $75 \times 6 = 450$.
59. Next, $36 \times 9$:
60. Units: $6 \times 9 = 54$. Write 4, carry 5.
61. Tens: $3 \times 9 = 27$. Add carry: $27 + 5 = 32$.
62. Result: $36 \times 9 = 324$.
63. Next, $64 \times 8$:
64. Units: $4 \times 8 = 32$. Write 2, carry 3.
65. Tens: $6 \times 8 = 48$. Add carry: $48 + 3 = 51$.
66. Result: $64 \times 8 = 512$.
67. Next, $19 \times 9$:
68. Units: $9 \times 9 = 81$. Write 1, carry 8.
69. Tens: $1 \times 9 = 9$. Add carry: $9 + 8 = 17$.
70. Result: $19 \times 9 = 171$.
71. Next, $57 \times 2$:
72. Units: $7 \times 2 = 14$. Write 4, carry 1.
73. Tens: $5 \times 2 = 10$. Add carry: $10 + 1 = 11$.
74. Result: $57 \times 2 = 114$.
75. Next, $93 \times 9$:
76. Units: $3 \times 9 = 27$. Write 7, carry 2.
77. Tens: $9 \times 9 = 81$. Add carry: $81 + 2 = 83$.
78. Result: $93 \times 9 = 837$.
79. Next, $77 \times 8$:
80. Units: $7 \times 8 = 56$. Write 6, carry 5.
81. Tens: $7 \times 8 = 56$. Add carry: $56 + 5 = 61$.
82. Result: $77 \times 8 = 616$.
83. Next, $58 \times 8$:
84. Units: $8 \times 8 = 64$. Write 4, carry 6.
85. Tens: $5 \times 8 = 40$. Add carry: $40 + 6 = 46$.
86. Result: $58 \times 8 = 464$.
87. Next, $39 \times 7$:
88. Units: $9 \times 7 = 63$. Write 3, carry 6.
89. Tens: $3 \times 7 = 21$. Add carry: $21 + 6 = 27$.
90. Result: $39 \times 7 = 273$.
91. Next, $26 \times 6$:
92. Units: $6 \times 6 = 36$. Write 6, carry 3.
93. Tens: $2 \times 6 = 12$. Add carry: $12 + 3 = 15$.
94. Result: $26 \times 6 = 156$.
95. Next, $68 \times 3$:
96. Units: $8 \times 3 = 24$. Write 4, carry 2.
97. Tens: $6 \times 3 = 18$. Add carry: $18 + 2 = 20$.
98. Result: $68 \times 3 = 204$.
Final answer for the first problem $23 \times 5$ is $115$.
Multiply Two Digit 80B621
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