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The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.
(a) What is the range of f? Based on your answer, is f onto?
(b) Determine whether f a 1-1 function.
4 8/16+1/
There is a number. If the sum of digits is 14, and if 29 is subtracted from the number, the digits become equal. Find the number.
(-2x^2y4)(10xy^2)^3
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