Chapter 1

In Exercises \(1-34,\) perform the indicated multiplication. $$(-8)(-4)(0)(-17)(-6)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$5(x+y)$$

Find each sum without the use of a number line. $$-\frac{5}{8}+\frac{3}{4}$$

Perform the indicated subtraction. $$-\frac{4}{5}-\left(-\frac{1}{5}\right)$$

List all numbers from the given set that are: \(\mathbf{a}\). natural numbers, \(\mathbf{b}\). whole numbers, \(\mathbf{c}\). integers, \(\mathbf{d}\). rational numbers, \(\mathbf{e}\). irrational numbers, \(\mathbf{f}\), real numbers. $$\left\\{-9,-\frac{4}{5}, 0,0.25, \sqrt{3}, 9.2, \sqrt{100}\right\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. nine decreased by a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{35}{50}$$

Use the order of operations to simplify each expression. $$8 \cdot 6 \div 2$$

In Exercises \(1-34,\) perform the indicated multiplication. $$(-9)(-12)(-18)(0)(-3)$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$7(x+y)$$

Find each sum without the use of a number line. $$-\frac{5}{6}+\frac{1}{3}$$

Perform the indicated subtraction. $$-\frac{4}{9}-\left(-\frac{1}{9}\right)$$

List all numbers from the given set that are: \(\mathbf{a}\). natural numbers, \(\mathbf{b}\). whole numbers, \(\mathbf{c}\). integers, \(\mathbf{d}\). rational numbers, \(\mathbf{e}\). irrational numbers, \(\mathbf{f}\), real numbers. $$\\{-7,-0 . \overline{6}, 0, \sqrt{49}, \sqrt{50}\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three decreased by a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{45}{50}$$

Use the order of operations to simplify each expression. $$14-2 \cdot 6+3$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$4$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$3(x-2)$$

Find each sum without the use of a number line. $$-\frac{3}{7}+\left(-\frac{4}{5}\right)$$

Perform the indicated subtraction. $$\frac{1}{2}-\left(-\frac{1}{4}\right)$$

List all numbers from the given set that are: \(\mathbf{a}\). natural numbers, \(\mathbf{b}\). whole numbers, \(\mathbf{c}\). integers, \(\mathbf{d}\). rational numbers, \(\mathbf{e}\). irrational numbers, \(\mathbf{f}\), real numbers. $$\left\\{-11,-\frac{5}{6}, 0,0.75, \sqrt{5}, \pi, \sqrt{64}\right\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three times a number, decreased by 5

Use the order of operations to simplify each expression. $$36-12 \div 4+2$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$3$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(x-5)$$

Find each sum without the use of a number line. $$-\frac{3}{8}+\left(-\frac{2}{3}\right)$$

Perform the indicated subtraction. $$\frac{2}{5}-\left(-\frac{1}{10}\right)$$

List all numbers from the given set that are: \(\mathbf{a}\). natural numbers, \(\mathbf{b}\). whole numbers, \(\mathbf{c}\). integers, \(\mathbf{d}\). rational numbers, \(\mathbf{e}\). irrational numbers, \(\mathbf{f}\), real numbers. $$\\{-5,-0 . \overline{3}, 0, \sqrt{2}, \sqrt{4}\\}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. five times a number, decreased by 3

Use the order of operations to simplify each expression. $$8^{2}-16 \div 2^{2} \cdot 4-3$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$\frac{1}{5}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$2(4 x-5)$$

Find each sum without the use of a number line. $$4+(-7)+(-5)$$

Perform the indicated subtraction. $$\frac{1}{2}-\frac{1}{4}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. one less than the product of 12 and a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{44}{50}$$

Use the order of operations to simplify each expression. $$10^{2}-100 \div 5^{2} \cdot 2-1$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$\frac{1}{7}$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$6(3 x-2)$$

Find each sum without the use of a number line. $$10+(-3)+(-8)$$

Perform the indicated subtraction. $$\frac{2}{5}-\frac{1}{10}$$

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. three less than the product of 13 and a number

Simplify each fraction by reducing it to its lowest terms. $$\frac{38}{50}$$

Use the order of operations to simplify each expression. $$3(-2)^{2}-4(-3)^{2}$$

In Exercises \(35-42,\) find the multiplicative inverse of each number. $$-10$$

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{2}(5 x-12)$$

Find each sum without the use of a number line. $$85+(-15)+(-20)+12$$

Perform the indicated subtraction. $$9.8-2.2$$

Give an example of a rational number that is not an integer.

Write each English phrase as an algebraic expression. Let the variable \(x\) represent the number. the sum of 10 divided by a number and that number divided by 10