This document discusses the characteristics and components of mathematical language, highlighting its precision, conciseness, and power in conveying mathematical ideas. It explains the different types of mathematical symbols, expressions, and sentences, as well as the distinction between open and closed sentences. The document serves as a lesson on how to effectively communicate mathematical concepts using a structured language.

1. MATHEMATICAL
LANGUAGE AND
SYMBOLS
LESSON 2

2. THE MATHEMATICAL
LANGUAGE
GREGORIO, ROSEMARIE R.
REYLA, ALEXIS M.
OSORIO, JEHAN L.

3. LANGUAGE
•A system of communication that
allows individual to convey
meaning using written and spoken
symbols.

4. SPOKEN
SIGNED
WRITTEN

5. Mathematical Language
•A system used in the field
of mathematics to
communicate mathematical
ideas, concepts, and
theories among others.

6. Characteristics of the Language of Mathematics
•Mathematics as a language
is PRECISE, CONCISE,
and POWERFUL.

7. PRECISE
•Able to make very fine
distinction.

8. Example:
1 + 1 = 2
PRECISE

9. CONCISE
•Able to say things briefly.

10. Example:
CONCISE
Two times eight plus two is equal to
eighteen.
2 * 8 + 2 = 18

11. POWERFUL
• Able to express complex
thoughts with relative
ease.

12. Work is a physical activity that involve
mental and physical effort done in order to
achieve a purpose or intended result.
POWERFUL
Example:
W = Fd

13. THE MATHEMATICAL
SYMBOLS

14. MATHEMATICAL SYMBOLS
•A mathematical symbol is a figure or
a combination of figures that is used
to represent a mathematical object, an
action on mathematical objects, a
relation between mathematical
objects, or for structuring the other
symbols that occur in a formula.

15. MATHEMATICAL SYMBOLS
NUMBERS

16. MATHEMATICAL SYMBOLS
THE FUNDAMENTAL SYMBOLS OF
OPERATION

17. MATHEMATICAL SYMBOLS
THE INEQUALITY SYMBOLS

18. MATHEMATICAL SYMBOLS
GROUPING SYMBOLS

19. MATHEMATICAL SYMBOLS
THE EQUAL SYMBOL

20. OTHER MATHEMATICAL SYMBOLS
•Variables
•Set theory symbols
•Logil symbols
•Statistical Symbols

21. MATHEMATICAL
EXPRESSION, AND
MATHEMATICAL
SENTENCE

22. MATHEMATICAL EXPRESSION
combination of mathematical
symbols
does not have an equal sign

23. MATHEMATICAL EXPRESSION
5y + 3
2xy – 5y + 3
5 – 7 + 4 * 2

24. MATHEMATICAL SENTENCE
Makes a statements about two
expressions.

25. TYPE OF MATHEMATICAL SENTENCE
OPEN SENTENCE
 Is a sentence that uses
variables; thus, it is not known
whether or not the
mathematical sentence is true or
false.

26. TYPE OF MATHEMATICAL SENTENCE
OPEN SENTENCE
4 + 5x = 9
6 - x = 5
The square root of 4x is 2

27. TYPE OF MATHEMATICAL SENTENCE
CLOSED SENTENCE
 It is a mathematical sentence
that is known to be either true
or false.

28. TYPE OF MATHEMATICAL SENTENCE
CLOSED SENTENCE
Ø10 – 1 = 7 + 2
Ø10 is an odd number.

29. MAHEMATICAL EXPRESION OR
MATHEMATICAL SENTENCE?
• 2x + 4y - 9
• 4 + 5x = 9
• a + 2b - 3
• The quadrilateral
has a 5 side
-->EXPESSION
-->SENTENCE
-->EXPESSION
-->SENTENCE
-->TRUE
-->FALSE

30. THANK YOU AND
GOD BLESS US ALL!