Unit 1 Flashcards

1
Q

Real Numbers

A

Consists of both rational and irrational numbers

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2
Q

Rational Numbers

A

A number in the form of p/q where p and q are integers and q doesn’t equal 0; a number that can be expressed in the form of a fraction

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3
Q

Irrational Numbers

A

Non-repeating, non-terminating decimals

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4
Q

Natural Numbers

A

Subcategory under rational numbers; positive numbers (counting numbers); 1, 2, 3, …

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5
Q

Whole Numbers

A

Subcategory in rational numbers; natural numbers but zero is included; 0, 1, 2, 3, …

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6
Q

Integers

A

Subcategory in rational numbers; negative and whole numbers; -2, -1, 0, 1, 2, …

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7
Q

Closure Property

A

A set of numbers is said to be closed for a specific mathematical operation if the result obtained is performed on any two numbers in the set is itself a member of the set

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8
Q

Commutative Property

A

Commute means to change or swap, so the order of numbers can be changed or swapped

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9
Q

Associative Property

A

You can add or multiply regardless of how numbers are grouped

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10
Q

Distributive Property

A

Used to multiply a single term and two or more terms inside a set of parentheses

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11
Q

Inverse Property for Addition

A

The sum of a number and its negative number is 0

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12
Q

Inverse Property for Multiplication

A

The product of a number and its reciprocal is one

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13
Q

Identity Property for Addtion

A

Zero added to any number is itself

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14
Q

Identity Property for Multiplication

A

One multiplied by any number is itself

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15
Q

Substitution property of equality

A

If x=y, then x can be substituted in for y in any equation; simplification

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16
Q

Reflexive

A

x=x

17
Q

Symmetric Property

A

If x=y, then y=x

18
Q

Transitive Property

A

If x=y and y=z, then x=z

19
Q

Addition Property

A

If a=b, then a+c=b+c

20
Q

Subtraction Property

A

If a=b, then a-c=b-c

21
Q

Multiplication Property

A

If a=b, then ac=bc

22
Q

Division Property

A

If a=b, then a/c = b/c

23
Q

Supplementary Angles

A

Add to equal 180 degrees

24
Q

Complimentary Angles

A

Add to equal 90 degrees