Curious calculations

Your calculator can do tricks:

(1) Try these multiplications. What do you notice?

1 \times 1

11 \times 11

111 \times 111

1111 \times 1111

11111 \times 11111

Does the pattern continue if you use longer strings of 1’s?

(2) Enter  the number 142,857 (preferably, into the memory) and multiply by 2,3,4,5,6 and 7. What do you notice?

Enjoy math!!!

Regards,

Nalin Pithwa

2 Comments

  1. Pradeep Selva
    Posted August 5, 2015 at 11:16 am | Permalink | Reply

    I]1×1=1
    11×11=121
    111×111=12321
    1111×1111=1234321
    11111×11111=123454321

    II] 142857 When multiplied by any number(within 10) gives result with only the digits-1,4,2,8,5,7,

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