Chapter 5
Multiplication
1.3 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¸ి, ā°ĩాā°ిā°˛ో 50 ā°˛ోā°Ēు ā°ā°¨్ā°¨ā°ĩాā°ిā°¨ి ā°ూā°Ēింā°ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 (ā°ā°ĩి 50ā°˛ోā°Ēు).
2.7 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 15 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105.
3.6 ā°Žā°°ిā°¯ు 8 ā°°ెంā°Ąింā°ిā°ీ ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 100 ā°˛ోā°Ēు ā°ā°¨ుā°ొā°¨ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 24, 48, 72, 96.
4.5 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 12 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¸ి, ā°ĩాā°ిā°˛ో 2ā°¤ో ā°ూā°Ą ā°ుā°Ŗిā°¤ā°Žైā°¨ ā°ĩాā°ిā°¨ి ā°ుā°°్ā°¤ింā°ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60. ā°ĩీā°ిā°˛ో 10, 20, 30, 40, 50, 60 2ā°¤ో ā°ూā°Ą ā°ుā°Ŗā°ాā°˛ు.
5.9 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 20 ā°ుā°Ŗā°ాā°˛ు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.
6. 12 ā°Žā°°ిā°¯ు 18 ā°¯ొā°్ā° ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు ā°ā°¨ుā°ొā°¨ి 200ā°˛ోā°Ēు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 36, 72, 108, 144, 180.
7.4 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 15 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¸ి ā°ĩాā°ిā°˛ో 50ā°˛ోā°Ēు ā°ā°¨్ā°¨ā°ĩాā°ిā°¨ి ā°ుā°°్ā°¤ింā°ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60. 50ā°˛ోā°Ēు = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48.
8.15 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150.
9.25 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 8 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 25, 50, 75, 100, 125, 150, 175, 200.
10.2, 3 ā°Žā°°ిā°¯ు 5 ā°¯ొā°్ā° ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 100 ā°˛ోā°Ēు ā°ā°¨ుā°ొā°¨ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 30, 60, 90.
11.8 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 12 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
12. 11 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¸ి, ā°ĩాā°ిā°˛ో 100 ā°˛ోā°Ēు ā°ā°¨్ā°¨ā°ĩాā°ిā°¨ి ā°ుā°°్ā°¤ింā°ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110. 100ā°˛ోā°Ēు = 11, 22, 33, 44, 55, 66, 77, 88, 99.
13.20 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200.
14.2 ā°Žā°°ిā°¯ు 7 ā°¯ొā°్ā° ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 100 ā°˛ోā°Ēు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 14, 28, 42, 56, 70, 84, 98.
15.18 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180.
16.50ā°˛ోā°Ēు 9 ā°¯ొā°్ā° ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 9, 18, 27, 36, 45.
17.16 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 8 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 16, 32, 48, 64, 80, 96, 112, 128.
18.21 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 12 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252.
19.14 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¸ి ā°ĩాā°ిā°˛ో 100 ā°˛ోā°Ēు ā°ā°¨్ā°¨ā°ĩాā°ిā°¨ి ā°ుā°°్ā°¤ింā°ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140. 100ā°˛ోā°Ēు = 14, 28, 42, 56, 70, 84, 98.
20.24 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240.
21. 10 ā°Žā°°ిā°¯ు 12 ā°°ెంā°Ąింā°ిā°ీ ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 150 ā°˛ోā°Ēు ā°ā°¨ుā°ొā°¨ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 60, 120.
22.19 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 7 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 19, 38, 57, 76, 95, 114, 133.
23. 13 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 8 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 13, 26, 39, 52, 65, 78, 91, 104.
24.30 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 10 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300.
25.27 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 6 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 27, 54, 81, 108, 135, 162.
26.40 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 8 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 40, 80, 120, 160, 200, 240, 280, 320.
27.22 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 6 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 22, 44, 66, 88, 110, 132.
28.33 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 33, 66, 99, 132, 165.
29.50 ā°˛ోā°Ēు 4 ā°Žā°°ిā°¯ు 6 ā°°ెంā°Ąింā°ిā°ీ ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 12, 24, 36, 48.
30.45 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 7 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 45, 90, 135, 180, 225, 270, 315.
31. 2, 4 ā°Žā°°ిā°¯ు 8 ā°¯ొā°్ā° ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 100 ā°˛ోā°Ēు ā°ā°¨ుā°ొā°¨ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
32.32 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 32, 64, 96, 128, 160.
33. 36 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 6 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 36, 72, 108, 144, 180, 216.
34. 48 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 48, 96, 144, 192, 240.
35. 60 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 6 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 60, 120, 180, 240, 300, 360.
36.72 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 72, 144, 216, 288, 360.
37. 80 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 4 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 80, 160, 240, 320.
38.90 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 90, 180, 270, 360, 450.
39. 100 ā°¯ొā°్ā° ā°Žొā°Ļā°ి 5 ā°ుā°Ŗā°ాⰞⰍు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 100, 200, 300, 400, 500.
40. 2 ā°Žā°°ిā°¯ు 9 ā°¯ొā°్ā° ā°¸ాā°Žాā°¨్ā°¯ ā°ుā°Ŗā°ాⰞⰍు 200 ā°˛ోā°Ēు ā°ĩ్ā°°ాā°¯ంā°Ąి.
ā°¸ā°Žాā°§ాā°¨ం: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198.
Answer by Mrinmoee