02: MULTIPLY BY 5

SUTRA (Algorithm):

Halve, Put 0 at end (or)
Put 0 at end, Halve
Take Care of Place-Values

Demonstration (1): 24 x 5 = ?

Halve 24, get 12;
Put 0 at end, get 120.
So, in one line, 24 x 5 = 120.

Demonstration (2): 24 x 5 = ?

Put 0 at end, get 240.
Halve 2 40, get 1 20;
So, in one line, 24 x 5 = 120.

Demonstration (3): 148 x 5 = ?

Halve 14 8, get 7 4;
Put 0 at end, get 740.
So, in one line, 148 x 5 = 740.

Demonstration (4): 148 x 5 = ?

Put 0 at end, get 1480.
Halve 148 0, get 74 0; (or)
Halve 14 80, get 7 40; (or)
So, in one line, 148 x 5 = 740.

Demonstration (5): 43 x 5 = ?

Put 0 at end, get 430.
Halve 4 30, get 2 15;
So, in one line, 43 x 5 = 215.

Demonstration (6): 643 x 5 = ?

Put 0 at end, get 6430.
Halve 64 30, get 32 15;
(or) Halve 6 430, get 3 215;
So, in one line, 643 x 5 = 3215.

Verify The following Examples:

  1. 83 x 5 >> 830 >> 415
  2. 29 x 5 >> 290 >> 145
  3. 111 x 5 >> 555
  4. 171 x 5 >> 1710 >> 850, 5 >> 855
  5. 345 x 5 >> 3450 >> 1700, 25 >> 1725
  6. 274 x 5 >> 135, 2 >> 137 >> 1370
  7. 274 x 5 >> 130, 7 >> 137 >> 1370
  8. 274 x 5 >> 100, 37 >> 137 >> 1370
  9. 323 x 5 >> 3230 >> 1600, 115 >> 1715
  10. 526 x 5 >> 263 >> 2630
  11. 713 x 5 >> 3500, 65 >> 3565
  12. 8264 x 5 >> 41320