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Problem 26

Simplify each numerical expression. Be sure to take advantage of the properties whenever they can be used to make the computations easier. $$ (2)(17)(-5)-(4)(13)(-25) $$

Problem 26

Perform the following operations with real numbers. $$ (-8)\left(\frac{1}{3}\right) $$

Problem 27

Simplify each of the numerical expressions. $$ 2^{3}-3^{3} $$

Problem 27

Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(I\) _________ \(N\)

Problem 27

Perform the following operations with real numbers. $$ \frac{1}{2} \div\left(-\frac{1}{8}\right) $$

Problem 27

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ -2\left(n^{2}-4\right)-4\left(2 n^{2}+1\right) $$

Problem 28

Simplify each of the numerical expressions. $$ 3^{2}-2^{4} $$

Problem 28

Perform the following operations with real numbers. $$ \frac{2}{3} \div\left(-\frac{1}{6}\right) $$

Problem 28

Use the following set designations. \(N=\\{x \mid x\) is a natural number \(\\}\) \(Q=\\{x \mid x\) is a rational number \(\\}\) \(W=\\{x \mid x\) is a whole number \(\\}\) \(H=\\{x \mid x\) is an irrational number \(\\}\) \(I=\\{x \mid x\) is an integer \(\\}\) \(R=\\{x \mid x\) is a real number \(\\}\) Place \(\subseteq\) or \(\nsubseteq\) in each blank to make a true statement. \(I\) ________ \(W\)

Problem 28

Simplify the algebraic expressions by removing parentheses and combining similar terms. $$ -4\left(n^{2}+3\right)-\left(2 n^{2}-7\right) $$

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