Ch. 2 Flashcards

0
Q

Integers

A

Whole numbers and their opposites

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1
Q

Opposites

A

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

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2
Q

Absolute value

A

A numbers distance from 0 on a number line.

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3
Q

Multiplicative inverse/ reciprocal

A

2 rational numbers whose product equals 1

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4
Q

Axiom

A

Properties we accept as fact without needing proof

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5
Q

Closure Property of Addition/ Multiplication

A
a+b= a rational number
ab= a rational number
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6
Q

Commutative Property of Addition/ Multiplication

A

a+b=b+a

ab=ba

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7
Q

Associative Property of Addition/ Multiplication

A

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

a(bc)=(ab)c

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8
Q

Identity Property of Addition/ Multiplication

A

a+0=a

a•1=a

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9
Q

Inverse Property of Addition/ Multiplication

A

a+(-a)=0

a•1/a=1

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10
Q

Distributive Property

A

a(b+c)=ab+ac

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11
Q

Reflexive Property of Equality

A

a=a

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12
Q

Symmetric Property of Equality

A

If a=b then b=a

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13
Q

Transitive Property of Equality

A

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

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