91Ó°ÊÓ

Find the prime factorization of 864

Explain the different uses of the symbol "-". Give examples of each use of the symbol.

Tell whether each expression represents a positive number or a negative number when \(\mathrm{m}\) and \(n\) are negative. \(-m \cdot\left(\frac{-n}{m}\right)\)

Tell whether each expression represents a positive number or a negative number when \(\mathrm{m}\) and \(n\) are negative. $$ -\left(\frac{n}{-m}\right) $$

Tell whether each statement is true or false for all real numbers m and n. Use various replacements for m and n to support your answer. If \(m>n,\) then \(m-n>0\)

What must be true of \(m\) and \(n\) if \(-m n\) is to be (a) positive? (b) zero? (c) negative?

Jenna is a meteorologist. On December \(10,\) she notes that the temperature is \(-3^{\circ} \mathrm{F}\) at 6: 00 A.M. She predicts that the temperature will rise at a rate of \(2^{\circ}\) per hour for \(3 \mathrm{hr}\), and then rise at a rate of \(3^{\circ}\) per hour for \(6 \mathrm{hr}\). She also predicts that the temperature will then fall at a rate of \(2^{\circ}\) per hour for \(3 \mathrm{hr}\), and then fall at a rate of \(5^{\circ}\) per hour for \(2 \mathrm{hr}\). What is Jenna's temperature forecast for 8: 00 P.M?

Tell whether each statement is true or false for all real numbers m and n. Use various replacements for m and n to support your answer. If \(m=-n,\) then \(m+n=0\)

Is it true that for any numbers \(a\) and \(b,\) if \(a\) is larger than \(b\), then the reciprocal of \(a\) is smaller than the reciprocal of \(b\) ? Why or why not?

A gambler loses a wager and then loses "double or nothing" (meaning the gambler owes twice as much) twice more. After the three losses, the gambler's assets are \(-\$ 20 .\) Explain how much the gambler originally bet and how the \(\$ 20\) debt occurred.