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Activities

Numbers With Identical Digits

Activities

1. With the help of identical digits and the mathematical operation signs obtain 100, 24, 30, 1000.

2. Also try to obtain 16 With Four Five's and 10 with Five Nine's.

Solution

1. 100 With Identical Digits: We can use one's, three's and (most conveniently) five's:
111-11 = 100; 33 x 3 + 3/3 = 100; 5 x 5 x 5 -5 x 5 = 100; (5+5+5+5) x 5 = 100.

24 With Identical Digits: 8+8+8; 22 + 2 = 24

30 With Identical Digits: 6 x 6 - 6 = 30; 5x5+5; 33 - 3 = 30.

1000 With Identical Digits: 888 + 88 + 8 + 8 + 8 = 1000.

2. There is only one-way: 55/5 + 5 = 16; The two ways to get 10 are: 9 + 99/99 = 10; 99/9 9/9 = 10.

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Source: Numeracy Counts !, Anita Rampal, R Ramanujam and L S Saraswati, N L R C, LBS National Academy of Administration, Mussoorie.

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