Near-Base Multiplication Worksheet

Vedic maths trick 3: Multiplying numbers near 10, 100 and 1000 · Set 78 · 40 sums

The trick (Nikhilam Navatashcaramam Dashatah): Write how far each number is from the base (− if below, + if above). Left part: cross-add — one number plus the other’s difference. Right part: multiply the two differences; it must have as many digits as the base has zeros (carry the extra). One above and one below? The right part is negative: take 1 from the left part and write base − that amount.

1. 1.97 × 97 =
2. 2.1013 × 960 =
3. 3.6 × 9 =
4. 4.90 × 85 =
5. 5.109 × 94 =
6. 6.99 × 96 =
7. 7.12 × 9 =
8. 8.91 × 87 =
9. 9.95 × 86 =
10. 10.982 × 996 =
11. 11.103 × 87 =
12. 12.104 × 86 =
13. 13.12 × 8 =
14. 14.85 × 86 =
15. 15.112 × 101 =
16. 16.12 × 8 =
17. 17.12 × 9 =
18. 18.12 × 14 =
19. 19.112 × 106 =
20. 20.87 × 99 =
21. 21.971 × 972 =
22. 22.113 × 101 =
23. 23.7 × 6 =
24. 24.115 × 90 =
25. 25.87 × 88 =
26. 26.11 × 9 =
27. 27.7 × 7 =
28. 28.114 × 95 =
29. 29.104 × 97 =
30. 30.91 × 92 =
31. 31.85 × 91 =
32. 32.11 × 6 =
33. 33.101 × 111 =
34. 34.1012 × 1016 =
35. 35.102 × 92 =
36. 36.962 × 975 =
37. 37.102 × 113 =
38. 38.12 × 11 =
39. 39.102 × 106 =
40. 40.101 × 110 =

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