natural counting numbers 1 2 3 4 5 6 7 8 9 10

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Natural

Counting Numbers

1

2 3 45 6 7 8 9

10

Natural1,2,

Natural

Whole

1,2,

It might seem like an obvious piece of any numerical system, but the zero is a surprisingly recent development in human history. In fact, this ubiquitous symbol for “nothing” didn’t even find its way

to Europe until as late as the 12th century.

Click the Web Link Below for more on the History of Zero

http://www.history.com/news/ask-history/who-invented-the-zero

Natural

Whole

1,2,

0

Natural

Whole

Integers 01,2,

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

Natural

Whole

Integers1, 2,

01,2,

Natural

Whole

Integers

Rational

1, 2, 0

1,2,

Integer

Integer

Integer

Integer

1

3

1 81

5 5

Does it include all the

3 3

4 4

Integer

Integer

1

3

1 81

5 5

Does it include all the

3 3

4 4

Did we get all the

55

1

66

1

Did we get all the

55

1

66

1

How About

5.5

10

151.5

10

13750.1375

10,0007385

7.3851000

Did we get the

5.5

10

151.5

10

13750.1375

10,0007385

7.3851000

Did we get all the

1.3

3 .7

7

9

8.216

37

1.3

3 .7

7

9

8.216

37

Did we get all the

Natural

Whole

Integers

35

351

0.5

1.572568 .3 .135

Rational

1, 2, 0

1,2,

Natural

Whole

Integers

Rational Irrational

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

0 1 2 3 4 5-1-2-3-4-5

1.414213 1.414214

2

0 1 2 3 4 5-1-2-3-4-5

2

0 1 2 3 4 5-1-2-3-4-5

2 7

0 1 2 3 4 5-1-2-3-4-5

2 7 19

CANNOT BE WRITTEN

AS FRACTIONS

2719

0 1 2 3 4 5-1-2-3-4-5

2 7 19

NUMBERS WITH RADICALS

THAT CANNOT BE

SIMPLIFIED ANY FURTHER

2719

0 1 2 3 4 5-1-2-3-4-5

2 7 192719

3 5 6 7

Can you think of any more?

2 8

Non-Terminating Decimals that do not Repeat a Pattern

0.10100100010000100000...

0.10100100010000100000...

0.1000100010001000... 0.1000

Non-Terminating Decimals that do not Repeat a Pattern

0.10100100010000100000...

0.1000100010001000... 0.1000

Non-Terminating Decimals that do not Repeat a Pattern

3.141592654...

Non-Terminating Decimals that do not Repeat a Pattern

2.7182818284590452353602875...

e

Non-Terminating Decimals that do not Repeat a Pattern

Natural

Whole

Integers

Rational

2 719

e

Irrational

0.010010001...

Natural

Whole

Integers

Rational Irrational

Natural

Whole

Integers

Rational Irrational

REAL NUMBER SYSTEM

REAL NUMBER SYSTEM

i 3i 5 3i

Natural

Whole

Integers

Rational Irrational

REAL NUMBER SYSTEM

REAL NUMBER SYSTEM

Natural

Whole

Integers

Rational Irrational

REAL NUMBER SYSTEM

REAL NUMBER SYSTEM

Imaginary Numbers

COMPLEX NUMBER SYSTEM

COMPLEX NUMBER SYSTEM

Natural

Whole

Integers

Rational Irrational

REAL NUMBER SYSTEM

REAL NUMBER SYSTEM

Imaginary Numbers

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