# Study sets matching "real numbers algebra"

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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…

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

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)

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irrational numbers

real numbers

absolute value

reciprocal

numbers that can not be written as a fraction; decimal numbers…

all rational and irrational numbers

a number's distance from zero

the multiplicative inverse of a number

irrational numbers

numbers that can not be written as a fraction; decimal numbers…

real numbers

all rational and irrational numbers

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 Number

Irrational Numbers

Rational Numbers

Natural Numbers

ALL NUMBERS

Numbers where the decinal for never terminates and does NOT re…

Numbers where the decimal form terminates or repeats; can be a…

numbers used for counting

Real Number

ALL NUMBERS

Irrational Numbers

Numbers where the decinal for never terminates and does NOT re…

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

real number

rational

irrational

integers

every number (symbol:IR)

ratio of integers; terminating and repeating decimals (i.e 3/4…

not a ratio of integers; decimals don't repeat or terminate (…

...-3, -2, -1, 0, 1, 2, 3... ( /Z [zahlen] )

real number

every number (symbol:IR)

rational

ratio of integers; terminating and repeating decimals (i.e 3/4…

real R

rational Q

irrational I

integer Z

all numbers on the number line

any integer that can be expressed as ratios of two integers

numbers that cannot be expressed as terminating or repeating d…

all whole numbers

real R

all numbers on the number line

rational Q

any integer that can be expressed as ratios of two integers

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.…

Commutative property

Associative property

Distributive property

Additive Identity

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switched…

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

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

Zero added or subtracted to any number = itself... 4+0= 4 ... 4x1= 4

Commutative property

2x3 = 3x2... 2+3 = 3+2 , The order of two numbers may be switched…

Associative property

(a+b) +c = a+(b+c) , Changing the grouping of numbers will NOT…

Real Numbers

Rational Numbers

Imaginary Numbers

Intergers

R Counting numbers, whole numbers, intergers, rational numbers…

Q Intergers, fractions (made with intergers) #2

--- 8i, square root of -4 #7

Z -4, -3, -2 #3

Real Numbers

R Counting numbers, whole numbers, intergers, rational numbers…

Rational Numbers

Q Intergers, fractions (made with intergers) #2

Commutative Property of Addition

Associative Property of Addition

Identity Property of Addition

Commutative Property of Multiplication

Changing the order of the addends does not change the sum.... a +…

Changing the grouping of addends does not change the sum.... (a +…

The sum of 0 and any number is that number.... 0 + c = c

Changing the order of the factors does not change the product.…

Commutative Property of Addition

Changing the order of the addends does not change the sum.... a +…

Associative Property of Addition

Changing the grouping of addends does not change the sum.... (a +…

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Changing the order in which numbers are added, but not changin…

Changing the way in which numbers are multiplied, but not chan…

Changing the grouping of numbers in addition, but not changing…

Changing the grouping of numbers in multiplication, but not ch…

Commutative Property of Addition

Changing the order in which numbers are added, but not changin…

Commutative Property of Multiplication

Changing the way in which numbers are multiplied, but not chan…

√2

√121

Irrational Number

-1

example of irrational number

example of a rational, integer, whole number, natural number

can not be represented as the quotient of two integers (decima…

example of rational, integer

√2

example of irrational number

√121

example of a rational, integer, whole number, natural number

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

a + b = b + a

ab = ba

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

(ab)c = a(bc)

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

ab = ba

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Equivalency

Terminating Decimals

Repeating Decimals

Natural Numbers

Has the same value or amount

a decimal that ends, or terminates

a decimal with a digit(s) that repeat in a pattern

counting numbers

Equivalency

Has the same value or amount

Terminating Decimals

a decimal that ends, or terminates

Equivalency

Terminating Decimals

Repeating Decimals

Natural Numbers

Has the same value or amount

a decimal that ends, or terminates

a decimal with a digit(s) that repeat in a pattern

counting numbers

Equivalency

Has the same value or amount

Terminating Decimals

a decimal that ends, or terminates

Real Numbers

Rational Numbers

Irrational Numbers

Intergers

All rational and irrational numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2/…

Any square root that can be simplified... -non terminating, non r…

Whole numbers, their opposites and zero... -Ex. -4, -3, -2, -1, 0…

Real Numbers

All rational and irrational numbers

Rational Numbers

All integers written in fractions... -intergers Ex. 1/2, 7/12, 2/…

Equivalency

Terminating Decimals

Repeating Decimals

Natural Numbers

Has the same value or amount

a decimal that ends, or terminates

a decimal with a digit(s) that repeat in a pattern

counting numbers

Equivalency

Has the same value or amount

Terminating Decimals

a decimal that ends, or terminates