# 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

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

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…

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)

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

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

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 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, ...

Integers

Natural numbers

Irrational

Whole numbers

Whole numbers and negatives ( Not negative fractions ) Ex: 1,2…

Counting numbers ( 1,2,3, etc..)

Non perfect squares ( 27, 21, 3 ) a number that never stops, n…

A number that is not a fraction

Integers

Whole numbers and negatives ( Not negative fractions ) Ex: 1,2…

Natural numbers

Counting numbers ( 1,2,3, etc..)

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…

Rational Number

Integers

Whole Numbers

Natural Numbers

Postive and Negative, Fractions, Repeating Decimals, Terminati…

Positive, Negative, Non Decimal, 0

Positive, Non Decimal, 0

Positive, Non Decimal, NOT 0

Rational Number

Postive and Negative, Fractions, Repeating Decimals, Terminati…

Integers

Positive, Negative, Non Decimal, 0

Rational Numbers (Q)

Irrational (I)

Integers (Z)

Whole (W)

Numbers that can be expressed as a ratio of two integers (frac…

The numbers that can't be expressed as a fraction; the decimal…

The whole numbers and their opposites; NO FRACTIONS; EX: -5, 0…

The counting numbers plus 0; EX: 0,1,2,3,4,5...or the square r…

Rational Numbers (Q)

Numbers that can be expressed as a ratio of two integers (frac…

Irrational (I)

The numbers that can't be expressed as a fraction; the decimal…

Natural (N)

Whole (W)

Integers (Z)

Rational (R)

Positve counting numbers ( 1, 2, 3, 4, 5,....)

(0, 1, 2, 3, 4, 5,....) Positive Counting Numbers and Zero (No…

No fractions or Decimals (Negative+Positive)

Terminating & Repeating decimals that can be expressed

Natural (N)

Positve counting numbers ( 1, 2, 3, 4, 5,....)

Whole (W)

(0, 1, 2, 3, 4, 5,....) Positive Counting Numbers and Zero (No…

real numbers

rational numbers

irrational number

integers

consist of several different kinds of numbers

can be expressed as a ratio a/b, where a and b are integers an…

the decimal for a(n) ____________ ___________ neither terminat…

{..., -3, -2, -1, 0, 1, 2, 3, ...} subsets of rational numbers…

real numbers

consist of several different kinds of numbers

rational numbers

can be expressed as a ratio a/b, where a and b are integers an…