The Language of Math Punctuation Punctuation Punctuation is

Punctuation • Punctuation is used in English and other languages to give meaning to

Punctuation • Punctuation is used in Mathematics to give meaning to an expression. •

Punctuation • For example, the meaning of the expression: is just that it is

Parentheses ( ) • These always come in left/right pairs and are used to

Brackets [ ] & Braces { } The brackets and braces are used instead

Division Bar • • • In other words, evaluate the numerator and the denominator

Math Speak • You should pronounce as “the quantity ” …short pause… “minus ”

Examples Evaluate the quantity in the parentheses first…

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The Language of Math Punctuation

Punctuation • Punctuation is used in English and other languages to give meaning to what is written. • Periods and question marks end sentences, commas are used for lists and to separate phrases, and there are colons and semicolons and so on. • When you have learned the “parts of speech” you will learn to diagram a sentence, that is, break it into its parts.

Punctuation • Punctuation is used in Mathematics to give meaning to an expression. • The punctuation marks are called grouping symbols. They are: o () parentheses o [] brackets o {} braces o division bar

Punctuation • For example, the meaning of the expression: is just that it is a fancy way of writing the number 1. It is another name for one. • Reducing a complex expression to a single number is called evaluating the expression.

Parentheses ( ) • These always come in left/right pairs and are used to do the same thing. • They tell you to calculate what’s inside the parentheses before doing anything else.

Brackets [ ] & Braces { } The brackets and braces are used instead of parentheses in complicated expressions to make it easier to read. It is difficult to see which left parenthesis goes with which right parenthesis in Using brackets and braces makes it easy to read:

Division Bar • • • In other words, evaluate the numerator and the denominator of a fraction separately.

Math Speak • You should pronounce as “the quantity ” …short pause… “minus ” • You should pronounce “the quantity as divided by the quantity “

Examples Evaluate the quantity in the parentheses first…

Examples Nothing to it!!

Work it out!