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Maths symbols I_ Arithmetic symbols II_ Plus and minus III_ Multiplication IV_ Symbols of Logic V_ Union and Intersection

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Maths symbols. I_ Arithmetic symbols. II_ Plus and minus. III_ Multiplication. IV_ Symbols of Logic. V_ Union and Intersection. Time line of mathematics symbols . a *b for a x b a nd a ÷ b by Rahn. ab for multiplication. 1460. 1631. 1698. - PowerPoint PPT Presentation

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Page 1: Maths symbols

Maths symbols

I_ Arithmetic symbolsII_ Plus and minusIII_ MultiplicationIV_ Symbols of LogicV_ Union and Intersection

Page 2: Maths symbols

1460

+ and – (addition and substraction) by Widmann

1544

ab for multiplication

1631

+ and – (signs) and a x b by Oughtred

1659

a*b for a x band a ÷ b by Rahn 1698

a.b for a x b and a:b for a ÷ b by Leibniz

Time line of mathematics symbols

Page 3: Maths symbols

Arithmetic symbols

By Eda Bayrak and Ezgi Koçal…

Page 4: Maths symbols

Arithmetic Symbols

Arithmetic is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations.

Page 5: Maths symbols

Plus and minus

By Charlotte and Célia…

Page 6: Maths symbols

The plus and minus signs (+ and -)

are mathematical symbols used to represent the notions of positive and negative as well as the operations of addition and subtraction.

+ & -

Page 7: Maths symbols

History

Johannes Widmann Robert Recorde François Viete1540-1603

1460-1498

1510-1558

Page 8: Maths symbols

but also for negative and positive numbers.

-b+a=c

And from these dates, plus and minus are used for all additions and substractions

a-b=c

Page 9: Maths symbols

Multiplication

By Eda Bayrak and Ezgi Koçal…

Page 10: Maths symbols

Multiplication is the third

basic operation of arithmetic.

‘’ a × b or a • b or a * b ‘’ All of them are same meaning.

Page 11: Maths symbols

•Gottfried Wilhelm Leibniz (1646-1716)

William Oughtred (1574 –1660)

Johann Rahn (1622-1676)

Page 12: Maths symbols

History of Multiplication

Methods of multiplication were documented in the 

Egyptian, 

Greek, 

Indian  

Chinese

civilizations.

Page 13: Maths symbols

Symbols of Logic

By Münire Büyükgüllü, Sümeyye Nur Azman, Rita Barrocas…

Page 14: Maths symbols

-LOGIC-

Math's logic is considered the science of reasoning and demonstration. Logic is especially important in mathematics and philosophy, but it is also used on our daily routine without even noticing.

Page 15: Maths symbols

History of Logical Symbols

George Boole 1815-1864

Page 16: Maths symbols

A simple statement is one that does not contain any other statement as a part. We will use the lower-case letters, p, q, r, ..., as symbols for simple statements.

Simple statements : p ‘’p is true’’ assertion ~p ‘’p is false’’ negation

Ex.: p: Sun is a star ( T ) ~p: Sun isn’t a star ( F )

In conclusion two denies equals to an affirmation. Ex: ~(~p) = p .

Page 17: Maths symbols

A truth table is a complete list of the possible truth values of a statement.

A truth table is a mathematical table used in logic specifically in connection with Boolean algebra, boolean functions, and propositional calculus.

.

Page 18: Maths symbols

Compounds and connectives :

Page 19: Maths symbols

Union and Intersection

By Begüm Sarıdede and Şeyma Edizarslan…

Page 20: Maths symbols

George Cantor 1845-1918

John Venn 1834-1923

Page 21: Maths symbols

VENN DIAGRAMS

Page 22: Maths symbols

UNIONThe union of two sets is the set of elements which are in either set.

For Example:

A=(1,2,3) and B=(3,4,5) AUB=(1,2,3,4,5)

Examples:{1, 2} ∪ {red, purple} ={1, 2, red, purple}

{1, 2, green} ∪ {red, purple, green} ={1, 2, red, purple, green}

{1, 2} ∪ {1, 2} = {1, 2}

Page 23: Maths symbols

INTERSECTION The intersection of two sets is the set of

elements which are in both sets.

For Example:

A=(1,2,3) and B=(3,4,5) A∩B=(3)

Examples:

{1, 2} ∩ {red, purple} = ∅{1, 2, green} ∩ {red, purple, green} = {green}

{1, 2} ∩ {1, 2} = {1, 2}

Page 24: Maths symbols

You can have more information about

Arithmetic Symbols in :• Plus and minus made by Charlotte Laurent and Célia Lopes-Bernier

• Multiplication and Arithmetics Symbols made by Eda Bayrak and Ezgi Koçal.

• Symbol of Logic made by Münire Büyükgüllü, Sümeyye Nur Azman, Rita Barrocas.

• Union and intersection by Begüm Sarıdede and Şeyma Edizarslan.