91Ó°ÊÓ

Write each number as a ratio of two integers.\(0.37373737 \ldots\)

Use the floor notation to express 259 div 11 and \(259 \bmod 11\).

There are distinct integers \(m\) and \(n\) such that \(\frac{1}{m}+\frac{1}{n}\) is an integer.

If \(k\) is an integer, what is \(\lceil k\rceil ?\) Why?

For each of the values of \(n\) and \(d\) given in \(1-6\), find integers \(q\) and \(r\) such that \(n=d q+r\) and \(0 \leq r

Write each number as a ratio of two integers.\(52.4672167216721 \ldots\)

If \(k\) is an integer, what is \(\left\lceil k+\frac{1}{2}\right\rceil ?\) Why?

Evaluate the expressionsa. 43 div 9 b. \(43 \bmod 9\)

There is a real number \(x\) such that \(x>1\) and \(2^{x}>x^{10}\).

The zero product property says that if a product of two real numbers is 0 , then one of the numbers must be 0 . a. Write this property formally using quantifiers and variables. b. Write the contrapositive of your answer to part (a). c. Write an informal version (without quantifier symbols or variables) for your answer to part (b).