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# Nature of Mathematics: Mathematical Language and Symbols Quiz

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@EasiestSacramento

### Which of the following best describes the use of 'and' in Mathematics language?

• Multiplication
• Division
• Subtraction
• ### In Mathematics, 'is' may have a different meaning from its use in English when it is used to signify:

• Multiplication
• Subtraction
• Division
• Equality (correct)
• ### Which type of numbers are used for counting in Mathematics?

• Cardinal numbers (correct)
• Ordinal numbers
• Roman numbers
• Nominal numbers
• ### In Math language, which grouping symbols are commonly used?

<p>Curly brackets</p> Signup and view all the answers

### What category does an equation fall under in the language of Mathematics?

<p>Noun</p> Signup and view all the answers

### When translating from English to Math language, what do ordinal numbers signify?

<p>Positions</p> Signup and view all the answers

### What is the translation of 'Twice a number minus eight' into mathematical expression?

<p>2x - 8</p> Signup and view all the answers

### Which phrase translates to the expression 'x/7 = 2'?

<p>The quotient of a number and seven is two</p> Signup and view all the answers

### If a set A = {2, 4, 6} and B = {a, b, c}, are they equivalent or equal sets?

<p>Equivalent</p> Signup and view all the answers

### What is the product of a number and ten, if the result is eighty?

<p>10x = 80</p> Signup and view all the answers

### Which expression represents 'A total of six and some number'?

<p>6 + x</p> Signup and view all the answers

### If 'Eight times a number is forty-eight', what is the mathematical expression for this statement?

<p>8x = 48</p> Signup and view all the answers

### What is the definition of a proposition?

<p>A statement that is either true or false, but not both</p> Signup and view all the answers

### Which term describes a statement that conveys two or more ideas?

<p>Compound statement</p> Signup and view all the answers

### In mathematical logic, what does a 'simple proposition' refer to?

<p>A statement with a single idea</p> Signup and view all the answers

### What does the vertical line test help determine in mathematics?

<p>Whether a relation is a function or not</p> Signup and view all the answers

### Which symbol represents 'and' in mathematical language?

<ul> <li></li> </ul> Signup and view all the answers

### If P represents 'I study hard' and Q represents 'I get good grades', what does the compound proposition 'P and Q' signify?

<p>'I study hard and get good grades'</p> Signup and view all the answers

## Study Notes

### Nature of Mathematics

• Language of mathematics is a system of conventional spoken, manual (signed), or written symbols that express human thought.
• Mathematics language has its own set of symbols, including English alphabet, numerals, Greek letters, grouping symbols, and special symbols.

### Mathematics Language vs. English Language

• Difficulties arise from different meanings or uses of words in math and English, such as "and" equivalent to plus and "is" having different meanings.
• Numbers have different uses in math: cardinal (counting), ordinal (telling positions), and nominal (identifying).

### Translation: English to Math Language

• Example translations: y = x, x = y, input-output functions, and function notation.

### Functions

• A function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range).
• Vertical Line Test: if a vertical line intersects the graph of a relation at more than one point, then the relation is not a function.
• Examples of functions and non-functions are provided.

### Elementary Logic

• Logic serves as a set of rules governing the structure and presentation of mathematical proofs.
• A proposition is a statement that is either true or false, and can be expressed in symbols P, Q, R, or p, q, r.

### Sets

• A set in mathematics is a collection of well-defined and distinct objects, considered as an object in its own right.
• Equivalent sets have the same cardinal number, while equal sets have identical elements.

### KeyWords to Remember

• equals (=) is, are, was, were, will be, gives, yields, sold for, cost

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## Description

Test your knowledge on the language of mathematics, the use of symbols in mathematics, sets, and elementary logic. Explore how mathematics uses a system of symbols to express concepts and ideas.

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