# Study sets matching "numbers algebra"

Study sets

Diagrams

Classes

Users

Real Numbers

Rational Numbers

Integers

Whole Numbers

Numbers that terminate or repeat.... Examples:... Terminating Number…

Whole numbers and their opposites.... Example:... {..., -3, -2, -1,…

Counting numbers plus zero.... Example:... {0, 1, 2, 3, ....}

Real Numbers

Rational Numbers

Numbers that terminate or repeat.... Examples:... Terminating Number…

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second quan…

If one quantity equals a second quantity and the second quanti…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Any quantity is equal to itself

Symmetric Property

If one quantity equals a second quantity, then the second quan…

terminating decimal

repeating decimal

rational number

irrational number

A decimal number that ends or terminates

A decimal that repeats a digit or group of digits forever

a number that can be expressed as a ratio (fraction) of two in…

a number that cannot be expressed as a ratio of two integers o…

terminating decimal

A decimal number that ends or terminates

repeating decimal

A decimal that repeats a digit or group of digits forever

integers

whole numbers

opposites or additive inverses

absolute value

the set of whole numbers and their opposites: ...., -3, -2. -1…

the set of natural, or counting, numbers and zero: 0, 1, 2, 3,…

numbers that are the same distance from 0, but on opposite sid…

a number's distance from 0 on a number line

integers

the set of whole numbers and their opposites: ...., -3, -2. -1…

whole numbers

the set of natural, or counting, numbers and zero: 0, 1, 2, 3,…

Positive numbers

Negative numbers

integers

Absolute value

the numbers to the right of zero on the number line

the numbers to the left of zero on the number line

the numbers ... -3, -2, -1, 0, 1, 2, 3....

The distance between 0 and a number on the number line

Positive numbers

the numbers to the right of zero on the number line

Negative numbers

the numbers to the left of zero on the number line

Commutative Property

Property

Associative Property

Simplify

The order the numbers are added does not change the sum(+) or…

A rule about an operation on numbers

The way in which numbers are grouped does not changed the sum…

To simplify a variable expression means to combine its like te…

Commutative Property

The order the numbers are added does not change the sum(+) or…

Property

A rule about an operation on numbers

Positive numbers

Negative numbers

Intergers

Absolute value

The numbers to the right of zero on the number line

The numbers to the left of zero on the number line

the numbers ... -3 ,-2 ,-1 , 0, 1,2,3'...

The distance between 0 and a number on the number line

Positive numbers

The numbers to the right of zero on the number line

Negative numbers

The numbers to the left of zero on the number line

Positive numbers

Negative numbers

integers

Absolute value

the numbers to the right of zero on the number line

the numbers to the left of zero on the number line

the numbers ... -3, -2, -1, 0, 1, 2, 3....

The distance between 0 and a number on the number line

Positive numbers

the numbers to the right of zero on the number line

Negative numbers

the numbers to the left of zero on the number line

integer

whole

rational

irrational

whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)

zero and up (0, 1, 2, 3, 4)

any number that can be written as a ratio (a/b, cannot =0)

cannot be written as a ratio (pi)

integer

whole numbers and their opposites (-2, -3, -1, 0, 1, 2, 3)

whole

zero and up (0, 1, 2, 3, 4)

Natural Numbers (N)

Whole Numbers (W)

Integers (Z)

Rational Numbers (Q)

All numbers that are positive starting at 1. ... Ex: 1, 5, 7, 10

All numbers that are positive starting at 1 and including 0.…

All numbers that are positive, negative, and including 0. ... Ex…

All numbers that are positive, negative, zero, terminating dec…

Natural Numbers (N)

All numbers that are positive starting at 1. ... Ex: 1, 5, 7, 10

Whole Numbers (W)

All numbers that are positive starting at 1 and including 0.…

Natural Number

Whole numbers

Integers

Rational numbers

numbers used for counting 1,2,3...

are natural numbers and 0

natural numbers (positive integers),0, negative integers

All numbers that can be written as quotients of integers. ... Mus…

Natural Number

numbers used for counting 1,2,3...

Whole numbers

are natural numbers and 0

positive numbers

negative numbers

integers

absolute value

the numbers to the right of the zero

the numbers to the left of the zero

the numbers... -3, -2, -1, 0, 1, 2, 3

the distance between 0 and a number on the number line

positive numbers

the numbers to the right of the zero

negative numbers

the numbers to the left of the zero

Additive Inverse (definition)

Additive Identity Element (definition)

Additive Identity Property

Additive Inverse Property

Another name for opposite

zero

Adding zero to a number leaves it unchanged... X + 0 =X... It does…

The number you add to a number to get zero. The opposite of th…

Additive Inverse (definition)

Another name for opposite

Additive Identity Element (definition)

zero

closure

identity element

no identity

left identity

start with two elements in a set and end up with an element in…

the intersection of the row and column that remain the same

no column and row stay the same

when a row stays the same but not a coulmn (e@a = a)

closure

start with two elements in a set and end up with an element in…

identity element

the intersection of the row and column that remain the same

identity property of addition

associative property of addition

associative property of multiplication

identity property of multiplication

a+0=a... When 0 is added to any number, the sum is the number.

(a + b) + c = a + (b + c)... Changing the grouping of three or mo…

(ab)c=a(bc)... Changing the grouping of three or more factors doe…

a*1=a... When any number is multiplied by one, it remains unchang…

identity property of addition

a+0=a... When 0 is added to any number, the sum is the number.

associative property of addition

(a + b) + c = a + (b + c)... Changing the grouping of three or mo…

counting numbers

whole numbers

integers

fractions

(also called Natural Numbers) 1,2,3,4,5,6,7...

0,1,2,3,4,5,6,...

-3,-2,-1,0,1,2,3,4,5... (no decimals or fractions)

a fraction is a symbol which indicates the quotient (division)…

counting numbers

(also called Natural Numbers) 1,2,3,4,5,6,7...

whole numbers

0,1,2,3,4,5,6,...

Natural Numbers (Counting)

Whole Numbers

Integers

Rational Numbers

1, 2, 3, 4, 5...

The numbers 0,1,2,3, ...

The set of whole numbers and their opposites.

Any number that can be expressed as a fraction

Natural Numbers (Counting)

1, 2, 3, 4, 5...

Whole Numbers

The numbers 0,1,2,3, ...

real numbers

Rational Number

Integers

whole numbers

a rational or irrational number

A number that can be written as a fraction of two integers

whole numbers and their opposites

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

real numbers

a rational or irrational number

Rational Number

A number that can be written as a fraction of two integers

The Fundamental Theorem of Aithmetic

Closure Property of Addition

Inverse Property of Addition

Closure Property of Multiplication

What theorem states that every number with the exception of 1…

If A and B are real numbers, then A + B is a Real number. What…

If A is a real number, and A + (-A) = 0, what property is this?

If A and B are real numbers, then AB is a Real number. What pr…

The Fundamental Theorem of Aithmetic

What theorem states that every number with the exception of 1…

Closure Property of Addition

If A and B are real numbers, then A + B is a Real number. What…