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Mariana Castro, Mariana Macías, Lucía García

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Mariana Castro, Mariana Macías, Lucía García

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Characteristics of Real Numbers

- Can be added, subtracted, multiplied or divided

- They are divided in two: rational and irrational

Real numbers: can ordered (not if they're imaginary though)

Rational numbers: a number that can be written as a fraction.

Irrational numbers: numbers with non-terminating decimals without patterns, not exact roots etc.

Integer: whole numbers but with negative numbers too. Fractions don't count.

Negative numbers: real numbers below zero.

Whole numbers: no fractions, decimals or negatives and zero.

Natural numbers: same as whole numbers but without the zero.

https://www.youtube.com/watch?v=jvTHgdjZ79I

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Characteristics of Real Numbers:

Real numbers can be ordered (this is not true, for instance, of imaginary numbers )

They can be added, subtracted , multiplied and divided by nonzero numbers in an ordered way.

Natural Numbers: The counting numbers.Whole Numbers: They are the natural numbers and a zero.Integers: Positive and Negative numbers, as well as zeroRational Numbers: All numbers that can be expressed as the limit of sequence of rational numbers.Irrational Numbers: A real number that is not rationalComplex Numbers: Includes real numbers and imaginary numbers, such as the square root of negative one.

https://www.youtube.com/watch?v=jvTHgdjZ79I

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real numbers: Real numbers can be ordered (this is not true, for instance, of imaginary numbers )
rational: A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio).

irrational: An Irrational Number is a real number that cannot be written as a simple fraction.

integer: Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed! whole: Whole Numbers are simply the numbers 0, 1, 2, 3, 4, 5, ... (and so on) natural: "Natural Numbers" can mean either "Counting Numbers" {1, 2, 3, ...}, or "Whole Numbers" {0, 1, 2, 3, ...}, depending on the subject.

negative: Negative Numbers (−)

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Sets of Numbers - Natural, Whole, Integers, Rational, Irrational, Real

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Real Numbers:

The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc.

Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers.

They are called "Real Numbers" because they are not Imaginary Numbers.

Rational Numbers:

A number that can be made by dividing two integers. (Note: integers have no fractions.)

Irrational Numbers:

An Irrational Number is a real number that cannot be written as a simple fraction.

Irrational means not Rational.

Integer:

A number with no fractional part.

Whole Numbers:

The whole numbers from 1 upwards.

Zero: Includes the number zero

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Characteristics Real numbers:

Nearly any number you can think of is a Real Number

Rational:

Real number that can be written as a simple fraction (i.e. as a ratio).

Integer:

A number with no fractional part.

Whole:

There is no fractional or decimal part. And no negatives.

Negative:

A negative number is written with a minus sign in front

(Positive means more than zero. Zero is neither negative nor positive.)

Naturals:

The whole numbers from 1 upwards: 1, 2, 3, and so on ...

Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3 and so on ...

No negative numbers and no fractions.

http://www.youtube.com/watch?v=9orS7coe2WI

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Real Numbers: The type of number we normally use, such as 1, 15,82, −0,1, 3/4, etc. Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers.

Rational Numbers: A Rational Number is a real number that can be written as a simple fraction.

Irrational Number: An Irrational Number is a real number that cannot be written as a simple fraction.

Integer Numbers: An integer  is a whole number  that can be positive, negative, or zero.

Whole Number: Whole Numbers are simply the numbers, without fraction.

Negative Numbers: are all the numbers from -1 and down.
Naturals: All the numbers that are used for couting except 0.

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Integers:

Are numbers that can be written without a decimal or fraction component.

They can be positive or negative

Whole:

A member of the set of positive integers and zero

A positive integer

An integer

Negatives:

Are integers

Whole numbers

Natural:

The first and the smallest natural number is 1

0 is not a natural number

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Real Numbers:

- Can be added, subtracted, multiplied and divided.

- Separates into 2 subsets, Rational and Irrational numbers.

Irrational Numbers:

- All numbers that are not rational are considered irrational, irrational numbers are non-terminating decimals without patterns, not exact roots and numbers expressed in letters for example "pi".

Rational Numbers:

- Every fraction, whole number, decimal with a pattern or terminating decimal is a rational number.

- Separates into 2 subsets Integers and Whole numbers.

Integers:

- Whole numbers that can be positive, negative, or zero.

Whole Numbers:

- Every number without a decimal or fraction.

Negative Numbers:

Every number from -1 and down (-2...-3...-4 and so on)

Natural Numbers:

- Every number used for counting except for 0.

Set

Description

Natural numbers

{1, 2, 3, 4, …. }

Whole numbers

{0, 1, 2, 3, 4, …}

Integers

{ …, -3, -2, -1, 0, 1, 2, 3, …. }

Rational numbers

All numbers that can be written as , where a and b are both integers, and b is not equal to 0.

Irrational numbers

Numbers such as

Real numbers

The union of the sets of rational numbers and irrational numbers

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Real Numbers: Nearly any number you can think of is a real number. Real numbers include- Whole, Rational, Irrational, Positive, Negative, Zero.

A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio).

A irrational number cannot be expressed as the quotient of two integers, such that the denominator is not zero.

A integer number is a number that can be written without a decimal or fraction component. They can be positive or negative. Zero is also an integer.

Natural Numbers can mean either "Counting Numbers" {1, 2, 3, ...}, or "Whole Numbers" {0, 1, 2, 3, ...}, depending on the subject.

A negative number is a real number that is less than zero.

A whole numbers are the sets of positive numbers and zero.

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Caracteristics real numbers:

Divided in two irrational and rational

They can be added, subtracted, multiplied and divided

Rational:

The number 8 is a rational number because it can be written as the fraction 8/1

Every whole number is a national number, because any whole number can be written as a fraction.

Irrational:

All numbers that are not rational are considered irrational. An irrational number can be written as a decimal, but no as a fraction.