1. In the following decimal, how many 2's are there in all before the hundredth 3?
0.23223222322223...
2. What is the units digit in the power of 3 with an exponent corresponding to the current year? For example,
what is the units digit in the expansion of 32009 ?
3. What is the units digit in the expansion of 71999 ?
4. What is the tens digit in the expansion of 71999 ?
5. What is the digit in the tens place in the expansion of 32001 ? (Hint: The tens digit repeats in cycles of 20.)
6. A number is formed by writing the counting numbers in order:
123456789101112131415...
What is the one millionth digit in this number?
Reference
Sobel, M & Maletsky, E. (1999). Teaching Mathematics. Allyn &Bacon, Needham Heights, MA
Comments (2)
Lorenzo McWilliams said
at 6:22 pm on Feb 28, 2010
mr wisdom how am i supposed to find the powers of all of these large numbers, it impossible
Jameswoods said
at 5:05 pm on Aug 24, 2010
i know right man
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