Definitions

Question 1

Real Number

Answer 1

any number with a decimal expansion

Question 2

Natural numbers

Answer 2

1,2,3,4,

Question 3

Whole numbers

Answer 3

0,1,2,3,4,

Question 4

Integers

Answer 4

whole numbers and negatives -2,-1,0,1,2,3

Question 5

Rational Numbers

Answer 5

All numbers whose decimal expansion either terminate or repeat
or the ratio of two integers

Question 6

Irrational Numbers

Answer 6

all real numbers that are not rational

Question 7

Nested Sets

Answer 7

we say a group of sets are nested if each set is contained in another set

Question 8

Closure of Addition

Answer 8

a+b is a real number

Question 9

Commutative of Addition

Answer 9

a+b=b+a

Question 10

Associative of Addition

Answer 10

(a+b) +c = a+ ( b+c)

Question 11

Identity of Addition

Answer 11

a+0=a

0+a=a

Question 12

Inverse of Addition

Answer 12

a+ -a=0

Question 13

Closure of Multiplication

Answer 13

ab is a real number

Question 14

Commutative of Multiplication

Answer 14

ab=ba

Question 15

Associative of Multiplication

Answer 15

(ab)c =a(bc)

Question 16

Multiplicative Identity

Answer 16

a x 1= a

1 x a = a

Question 17

Multiplicative Inverse

Answer 17

a x 1/a = 1 when a is not = to 0

Question 18

distributive

Answer 18

a(b+c) = ab +ac