Ch. 2

Question 0

Integers

Answer 0

Whole numbers and their opposites

Question 1

Opposites

Answer 1

Numbers that are the same distance from 0 on a number line but on opposite sides.

Question 2

Absolute value

Answer 2

A numbers distance from 0 on a number line.

Question 3

Multiplicative inverse/ reciprocal

Answer 3

2 rational numbers whose product equals 1

Question 4

Axiom

Answer 4

Properties we accept as fact without needing proof

Question 5

Closure Property of Addition/ Multiplication

Answer 5

a+b= a rational number
ab= a rational number

Question 6

Commutative Property of Addition/ Multiplication

Answer 6

a+b=b+a

ab=ba

Question 7

Associative Property of Addition/ Multiplication

Answer 7

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

a(bc)=(ab)c

Question 8

Identity Property of Addition/ Multiplication

Answer 8

a+0=a

a•1=a

Question 9

Inverse Property of Addition/ Multiplication

Answer 9

a+(-a)=0

a•1/a=1

Question 10

Distributive Property

Answer 10

a(b+c)=ab+ac

Question 11

Reflexive Property of Equality

Answer 11

a=a

Question 12

Symmetric Property of Equality

Answer 12

If a=b then b=a

Question 13

Transitive Property of Equality

Answer 13

If a=b and b=c then a=c