Determine the digit 100 places to the right of the decimal point in the decimal representation 7/27.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Instructions: Apply Polya’s strategy to solve the following problems. Show all solutions.
1. Determine the digit 100 places to the right of the decimal point in the decimal
representation 7/27.
2. Find the two consecutive even integers whose sum is 94.
3. On a balance scale, two spools and one thimble balance 8 buttons. Also, one spool balances one thimble and one button. How many buttons will balance one spool?
4. ₱ 500 is to be divided between Kyle and Andrew so that Kyle will receive   ₱35 more than Andrew. How much does each person receive?
5. Find the three consecutive positive integers whose sum is 159.

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