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Real Numbers

Rational Numbers

Irrational Numbers

Integers

(R) Have points on the number line

(Q) Can be expressed exactly as a ratio of two integers

(I) Can not be expressed exactly as a ratio of two integers b…

(Z) Whole numbers and their opposites

Real Numbers

(R) Have points on the number line

Rational Numbers

(Q) Can be expressed exactly as a ratio of two integers

irrational

rational

terminating

repeating

A number that cannot be written as a fraction, does not repeat.

A number that CAN be written as a fraction, as long as the de…

A number that terminates.

A number that repeats.

irrational

A number that cannot be written as a fraction, does not repeat.

rational

A number that CAN be written as a fraction, as long as the de…

negative number

positive number

composite number

real number

A real number less than zero. (ex. -4)

A real number greater than zero. (ex. 234)

A positive integer that has factors other than just 1 and the…

All numbers on the number line. This includes (but is not lim…

negative number

A real number less than zero. (ex. -4)

positive number

A real number greater than zero. (ex. 234)

property of closure

Natural Numbers

Integers

Rational Numbers

There is only one answer and the answer is an element of the…

0,1,2,3,4,5,6,7,8,9......

......-4,-3,-2,-1,0,1,2,3,4.....

can be expressed as a ratio of two integers - can be a termin…

property of closure

There is only one answer and the answer is an element of the…

Natural Numbers

0,1,2,3,4,5,6,7,8,9......

Integers

Rational numbers

Natural numbers

Whole numbers

Positive and negative whole numbers, including zero; ... ...-2,-…

Any number that can be written as an integer divided by an in…

Positive counting numbers, start at 1.... 1,2,3,4,...

Counting numbers starting at zero.... 0,1,2,3,4,...... this set inc…

Integers

Positive and negative whole numbers, including zero; ... ...-2,-…

Rational numbers

Any number that can be written as an integer divided by an in…

Real Numbers

Irrational Numbers

RaTional numbers

Integers

The set that includes both rational and irrational numbers

The decimal form never terminates or repeats.... Can NOT be writ…

A number that can be written as a fraction where the numerato…

Whole numbers and their opposites... {...-5, -4, -3, -2, -1, 0,…

Real Numbers

The set that includes both rational and irrational numbers

Irrational Numbers

The decimal form never terminates or repeats.... Can NOT be writ…

Complex Numbers

Real Numbers

Imaginary Numbers

Negative Numbers

have the form a + bi, where a and b are real and i = √-1

Have points on the number line

Square roots of negative numbers, have no points on the numbe…

numbers less than 0

Complex Numbers

have the form a + bi, where a and b are real and i = √-1

Real Numbers

Have points on the number line

Complex Numbers

Real Numbers

Imaginary Numbers

Negative Numbers

Have the form a + bi, where a and b are real and i = √-1

Have points on the number line.

Are square roots of negative numbers, and have no points on t…

Are less than 0

Complex Numbers

Have the form a + bi, where a and b are real and i = √-1

Real Numbers

Have points on the number line.

Real numbers

A number whose positive square root is…

Natural numbers are

Whole numbers are

all the numbers that can be represented on a number line.

Perfect Square. ... Square root of 49 is 7, 49 is a perfect squa…

the counting numbers: 1, 2, 3, 4...

the Natural Numbers and Zero: 0, 1, 2, 3,...

Real numbers

all the numbers that can be represented on a number line.

A number whose positive square root is…

Perfect Square. ... Square root of 49 is 7, 49 is a perfect squa…

rational

irrational

real number

whole number

a rational number isa number that can be written as a ratio

is a real number that can not be expressed as a ratio of inte…

real numbers are numbers that's can be found on the number line

also known as natural numbers are a set of positive integers…

rational

a rational number isa number that can be written as a ratio

irrational

is a real number that can not be expressed as a ratio of inte…

Real Numbers

Irrational Numbers

RaTional numbers

Integers

The set that includes both rational and irrational numbers

The decimal form never terminates or repeats.... Can NOT be writ…

A number that can be written as a fraction where the numerato…

Whole numbers and their opposites... {...-5, -4, -3, -2, -1, 0,…

Real Numbers

The set that includes both rational and irrational numbers

Irrational Numbers

The decimal form never terminates or repeats.... Can NOT be writ…

Real Numbers

Rational Numbers

Irrational Numbers

Integers

(R) Have points on the number line

(Q) Can be expressed exactly as a ratio of two integers

(I) Can not be expressed exactly as a ratio of two integers b…

(Z) Whole numbers and their opposites

Real Numbers

(R) Have points on the number line

Rational Numbers

(Q) Can be expressed exactly as a ratio of two integers

Real Numbers

Rational Numbers

Irrational Numbers

Integers

(R) Have points on the number line

(Q) Can be expressed exactly as a ratio of two integers

(I) Can not be expressed exactly as a ratio of two integers b…

(Z) Whole numbers and their opposites

Real Numbers

(R) Have points on the number line

Rational Numbers

(Q) Can be expressed exactly as a ratio of two integers

Real numbers

Natural numbers

Whole numbers

Integers

all the numbers that can be represented on a number line.

the counting numbers: 1, 2, 3, 4...

the Natural Numbers and Zero: 0, 1, 2, 3,...

whole numbers and their opposites: -3, -2, -1, 0, 1, 2, 3, ...

Real numbers

all the numbers that can be represented on a number line.

Natural numbers

the counting numbers: 1, 2, 3, 4...

Complex C

Imaginary I

Real R

Rational Q

Any real or imaginary numbers

The square root of a negative numer

Any number that is not imaginary, basically any number on a n…

Any number that can be written as a fraction

Complex C

Any real or imaginary numbers

Imaginary I

The square root of a negative numer

Real Numbers

Irrational Numbers

Rational numbers

Integers

The set that includes both rational and irrational numbers

The decimal form never terminates or repeats.... Can NOT be writ…

A number that can be written as a fraction where the numerato…

Whole numbers and their opposites... {...-5, -4, -3, -2, -1, 0,…

Real Numbers

The set that includes both rational and irrational numbers

Irrational Numbers

The decimal form never terminates or repeats.... Can NOT be writ…

Rational numbers

Irrational numbers

Integers

Commutative property of addition

Integers, terminating, and repeating decimals

Infinite, non-repeating decimals

Whole numbers and their opposites

3 + 4 = 4 + 3

Rational numbers

Integers, terminating, and repeating decimals

Irrational numbers

Infinite, non-repeating decimals

Natural Numbers

Whole Numbers

Integers

Rational Numbers

Positive, Whole, Does not include zero

Positive, "Whole", Includes zero

Positive & Negative, Whole, Include zero

Fraction, Decimals, Ratio between integers

Natural Numbers

Positive, Whole, Does not include zero

Whole Numbers

Positive, "Whole", Includes zero

Irrational Numbers

Real Numbers

Counting Numbers

Whole Numbers

Pie, square root of 5, 2, 3...(Nothing that is a square)

1/2, 3, 100, -234, square root, pie.

Numbers that you count with. 1,2,3,4,...

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

Irrational Numbers

Pie, square root of 5, 2, 3...(Nothing that is a square)

Real Numbers

1/2, 3, 100, -234, square root, pie.

Complex numbers

Real numbers

Imaginary numbers

Negative numbers

Have the form a+bi where a and b are real numbers and i is im…

Have points on the number line

Don't have points on the number line/ negative square roots

Numbers less than zero

Complex numbers

Have the form a+bi where a and b are real numbers and i is im…

Real numbers

Have points on the number line

Complex Numbers

Real Numbers

Imaginary numbers

Zero

A combination of real and imaginary numbers a+bi either part…

Include rational irrational and whole numbers

Square routes of negative numbers have no points on the numbe…

Neither positive nor negative

Complex Numbers

A combination of real and imaginary numbers a+bi either part…

Real Numbers

Include rational irrational and whole numbers

Natural N

Whole W

Integer Z

RATIOnal Q

Counting numbers starting at 1. Example: 1,2,3,4,5,6...

Counting numbers starting at 0. Example: 0,1,2,3,4,5

All counting negatives, zero, and positives. -2,-1,0,1,2,3...

a number written A/B. B can not equal zero. Examples: 1/6, 10…

Natural N

Counting numbers starting at 1. Example: 1,2,3,4,5,6...

Whole W

Counting numbers starting at 0. Example: 0,1,2,3,4,5