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MMW 1

The document explains the language of mathematics, including commonly used symbols and the distinction between expressions and sentences. It differentiates between open and closed sentences, and provides examples of translating English phrases to mathematical phrases and vice versa. The document serves as a guide for understanding mathematical notation and its applications in expressing mathematical thoughts.

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cassianbill
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9 views17 pages

MMW 1

The document explains the language of mathematics, including commonly used symbols and the distinction between expressions and sentences. It differentiates between open and closed sentences, and provides examples of translating English phrases to mathematical phrases and vice versa. The document serves as a guide for understanding mathematical notation and its applications in expressing mathematical thoughts.

Uploaded by

cassianbill
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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The language of mathematics make it easy

to express the kinds of thoughts that


mathematicians like to express. It is ...
Below are some examples of commonly
used symbols:

+ − × ÷

= < > ≤ ≥ % 𝜋 °
An expression is the mathematical
analogue of an English noun; it is a
correct arrangement of mathematical
symbols used to represent a
mathematical object of interest.
A mathematical sentence is
the analogue of an English sentence;
it is a correct arrangement of
mathematical symbols that expresses
a complete thought.
Open Sentence vs. Closed Sentence
Open Sentence – the mathematical sentence is
not known whether true or false.

Closed Sentence – that known to be either


true or false. It can be a TRUE CLOSED SENTENCE
and FALSE CLOSED SENTENCE.
Algebraic Translations
+ − × ÷
plus minus times divided by
increased by decreased by multiplied by ratio of
added to subtracted from the product of the quotient of
the sum of the difference of
more than less than
total diminished by
Translating English Phrase to
Mathematical Phrase
a number increased by seven 𝒙+𝟕
ten diminished by a number 𝟏𝟎 − 𝒙
the product of a number and fourteen 𝟏𝟒𝒙
𝒙
the quotient of a number and 9 𝟗
Translating Mathematical Phrase
to English Phrase
4𝑥 + 7 four times a number plus seven
2(𝑥 − 1) two times the difference of a
number and one
3𝑥 − 5 the quotient of three times a
2
number minus five and two
Translating English Phrase to
Mathematical Phrase
a number added to five 𝒙+𝟓
twice a number more than six 𝟐𝐱 + 𝟔
a number decreased by seven 𝒙−𝟕
twice a number added to ten 𝟐𝒙 + 𝟏𝟎
Translating Mathematical Phrase
to English Phrase
5𝑥 + 8 five times a number plus eight
3 𝑥 + 1 three times the sum of a
number and one
2 two times the square of the sum
2 3𝑥 + 2
of thrice a number and two
Translating English Phrase to
Mathematical Phrase
two decreased by thrice a number 𝟐 − 𝟑𝒙
seven times a number more than twelve 𝟕𝐱 + 𝟏𝟐
the sum of a number and four 𝒙 + 𝟒
five times the sum of a number and ten 𝟓 𝒙 + 𝟏𝟎

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