Q19 of 47 Page 172

Find all integers such that is also an integer.

Let n = 0


Then which is an integer


Let n = 1



Let n = -1




which is an integer


Let n = -3





which is an integer


Let n = -4





, which is an integer


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How many rational numbers are there between 0 and 1 for which q < p?

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By inserting parenthesis (that is brackets), you can get several values for 2 × 3 + 4 × 5. (For example ((2 × 3) + 5 is one way of inserting parenthesis.) How many such values are there?

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Suppose is a positive rational in its lowest form. Prove that is also in its lowest form.