Chapter 1

List all numbers from each set that are the following. (a) natural numbers (b) whole numbers (c) integers (d) rational numbers (e) irrational numbers (f) real numbers \(\left\\{\frac{7}{9},-2 . \overline{3}, \sqrt{3}, 0,-8 \frac{3}{4}, 11,-6, \pi\right\\}\)

Simplify each expression. \(7 y+6 y\)

Find each quotient. \(\frac{-8.8}{2.2}\)

Find each sum or product. $$ 49+199+1+1 $$

Find each sum. $$ [(-8)+(-6)]+14 $$

Simplify each expression. \(5 m+2 m\)

Find each quotient. \(\frac{-4.6}{2.3}\)

Find each sum or product. $$ 1999+2+1+8 $$

Find each sum. $$ -6.1+[3.2+(-4.8)] $$

Find (a) the additive inverse and (b) the absolute value. -2

Simplify each expression. \(-6 x-3 x\)

Find each sum or product. $$ 2998+3+2+17 $$

Find each sum. $$ -9.4+[5.8+(-7.9)] $$

Find (a) the additive inverse and (b) the absolute value. -4

Simplify each expression. \(-4 z-8 z\)

Find each quotient. \(-\frac{6}{5} \div\left(-\frac{1}{3}\right)\)

Find each sum or product. $$ 159+12+141+88 $$

Find each sum. $$ [-3+(-4)]+[5+(-6)] $$

Find (a) the additive inverse and (b) the absolute value. 8

Simplify each expression. \(12 b+b\)

Find each sum or product. $$ 106+8+14+72 $$

Find each sum. $$ [-8+(-3)]+[4+(-6)] $$

Find (a) the additive inverse and (b) the absolute value. 10

Simplify each expression. \(19 x+x\)

Find each quotient. \(-\frac{7}{10} \div \frac{3}{4}\)

Find each sum or product. $$ 843+627+(-43)+(-27) $$

Find (a) the additive inverse and (b) the absolute value. \(-\frac{3}{4}\)

Simplify each expression. \(3 k+8+4 k+7\)

Find each quotient. \(\frac{0}{-5}\)

Find each sum or product. $$ 1846+1293+(-46)+(-93) $$

Find each sum. $$ [-5+(-9)]+[16+(-2)] $$

Find (a) the additive inverse and (b) the absolute value. \(-\frac{2}{5}\)

Simplify each expression. \(15 z+1+4 z+2\)

Find each quotient. \(\frac{0}{-9}\)

Find each sum or product. $$ 5(47)(2) $$

Find each sum. $$ [-4+(-6)]+[-3+(-8)]+[12+(-11)] $$

Find (a) the additive inverse and (b) the absolute value. 5.6

Simplify each expression. \(-5 y+3-1+5+y-7\)

Find each sum. $$ [-2+(-11)]+[-12+(-2)]+[18+(-6)] $$

Find (a) the additive inverse and (b) the absolute value. 8.1

Simplify each expression. \(2 k-7-5 k+6-1+2\)

Find each sum or product. $$ -4 \cdot 5 \cdot 93 \cdot 5 $$

Find each difference. $$ 4-7 $$

Find each absolute value. |-6|

Perform each indicated operation. \(7-3 \cdot 6\)

Find each sum or product. $$ 2 \cdot 25 \cdot 67 \cdot(-2) $$

Find each difference. $$ 8-13 $$

Find each absolute value. |-14|

Simplify each expression. \(r-6-12 r-4+16\)

Perform each indicated operation. \(8-2 \cdot 5\)