Chapter 1: 1-6

Question 1

Integers

Answer 1

negative numbers, zero, positive numbers (rational)

Question 2

whole

Answer 2

zero, positive numbers (rational)

Question 3

natural

Answer 3

positive numbers, no zero (rational)

Question 4

rational

Answer 4

includes terminating and repeating decimals. and zero, negative, and positive numbers

Question 5

irrational

Answer 5

square roots, decimals that don’t terminate or repeat, and pi. Can’t be written as a fraction

Question 6

closure property

Answer 6

addition: a+b is a real number. multiplication: ab is a real number

Question 7

commutative property

Answer 7

addition: a+b = b+a. multiplication: ab = ba

Question 8

associative property

Answer 8

addition: (a+b) + c = a + (b+c). multiplication: (ab)c + a(bc)

Question 9

identity property

Answer 9

addition: a+0 = a, 0+a = a (additive identity). multiplication: a x 1 = a, 1 x a = a (multiplicative identity)

Question 10

inverse property

Answer 10

addition: a+(-a) = 0. multiplication: a x 1/a = 1. a not equal to zero