What is a multiple of 11?

Answer 1

First 1000 multiples of 111 11 2 22 3 33 4 44 5 55 6 66 7 77 8 88 9 99 10 110 11 121 12 132 13 143 14 154 15 165 16 176 17 187 18 198 19 209 20 220 21 231 22 242 23 253 24 264 25 275 26 286 27 297 28 308 29 319 30 330 31 341 32 352 33 363 34 374 35 385 36 396 37 407 38 418 39 429 40 440 41 451 42 462 43 473 44 484 45 495 46 506 47 517 48 528 49 539 50 550 51 561 52 572 53 583 54 594 55 605 56 616 57 627 58 638 59 649 60 660 61 671 62 682 63 693 64 704 65 715

Even easier:

(Any Number Multiplied by 11- "BOOKENDS")

example: 463819 * 11= ??

Always start with putting down the first number, in this case, "4". Then starting with the first number, 4, add the first to the second, 4+6=10, put the 0 down and carry the 1 above the number 4, then add the second plus the third, 6+3=9, then the third number plus the forth, the fourth number plus the fifth number and so on until the last Two (2) are added. Finish up by putting the last number (9), on the end. In your process If you have a digit larger than 9, carry the the number in the 10's place back to the left. Your bookends are the 4 and 9. Your Eleven multiples will always have the last number on the end and the first number will be the same until you carry any Ones (1's) back.

463819 * 11

start with the 4

4 and (4+6=10) is now 40 carry the One (1) to the left makes it 50

50 and (6+3=9) is 509

509 and (3+8=11) is now 5091, carry the 1 back makes it 5101.

5101 and (8+1=9) is now 51019

51019 and (1+9=10) is now 51090 carry the 1 back makes it 510200

And finally take the last number in 463819 and put it on the end gives you 5,102,009

If you had 110, 1,100, 11,000... you would follow the above as described and add the number of Zero's to the end such as 110 has One (1) zero, 1,100 has Two (2) and So on... 463819 * 110 would be 51,020,09(0), 1100 would be 510,200,9(00), and so on.