Basic Mathematical Symbols Quiz
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Questions and Answers

Which of these signs represents equality?

  • <
  • ≠
  • >
  • = (correct)

What does the symbol "√" represent?

  • absolute value
  • square root (correct)
  • factorial
  • exponent

Which symbol represents 'much less than'?

  • << (correct)
  • <
  • ≠
  • >

What is the mathematical symbol for 'intersection' of sets?

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

What does the mathematical symbol 'Σ' represent?

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

The symbol '%' represents the absolute value.

<p>False (B)</p> Signup and view all the answers

The expression "(a, b)" represents an open interval.

<p>True (A)</p> Signup and view all the answers

What is the plural form of "alumnus"?

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

What is the plural form of "criterion"?

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

Which of the following is an irregular plural noun?

<p>child (B)</p> Signup and view all the answers

The plural form of 'analysis' is 'analysises'.

<p>False (B)</p> Signup and view all the answers

The plural form of "phenomenon" is "phenomenons"

<p>False (B)</p> Signup and view all the answers

Choose the correct article to complete this sentence: 'I saw __ old man with __ dog.'

<p>an, a (D)</p> Signup and view all the answers

Which article is used before countable singular nouns when you are talking about them for the first time?

<p>both b and c (D)</p> Signup and view all the answers

Which article is used to refer to something previously mentioned in the text?

<p>the (A)</p> Signup and view all the answers

I went to ____ Africa and visited Botswana, Swaziland and Zambia.

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

Is it necessary to have __ degree in economics to be a better manager?

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

Mt. Everest is __ highest mountain in __ world.

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

Life can be very hard for __ poor.

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

Anyone who has __ information should contact __ local police.

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

Flashcards

Equals sign (=)

A symbol used to indicate equality between two expressions. For example, 5=2+3.

Not equal sign (!=)

A symbol used to indicate that two expressions are not equal. For example, 5 != 4.

Approximately equal sign (≈)

A symbol used to indicate that two expressions are approximately equal. For example, sin(0.01) ≈ 0.01.

Greater than sign (>)

A symbol used to indicate that one expression is greater than another. For example, 5>4.

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Less than sign (<)

A symbol used to indicate that one expression is less than another. For example, 5<4.

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Exclamation mark (!)

A symbol used to represent the factorial of a number. The factorial of a number is the product of all positive integers less than or equal to that number. For example, 4! = 1 * 2 * 3 * 4 = 24.

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Open interval (a; b)

A set of numbers where the endpoints are not included. For example, (2; 6) = {x | 2 < x < 6}.

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Closed interval [a; b]

A set of numbers where the endpoints are included. For example, [2; 6] = {x | 2 ≤ x ≤ 6}.

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Delta (Δ)

A symbol representing a change or difference. For example, Δt = t1 - t0 represents the change in time.

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Sigma (∑)

The symbol used to represent the sum of a series of values. For example, ∑x = x1 + x2 + ... + xn represents the sum of all values of x from 1 to n.

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Set ({})

A collection of elements or objects. For example, A = {3, 7, 9, 14} represents a set containing the numbers 3, 7, 9, and 14.

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Intersection (∩)

The intersection of two sets contains all elements common to both sets. For example, A ∩ B contains all elements that are in both set A and set B.

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Union (∪)

The union of two sets contains all elements from either set. For example, A ∪ B contains all elements that are in set A or set B.

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Subset (⊆)

A set A is a subset of set B if all elements of A are also in set B. For example, A ⊆ B implies that every element in set A is also in set B.

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Strict subset (⊂)

A set A is a proper subset of set B if all elements of A are also in B, but A is not equal to B (i.e., B contains at least one element not in A). For example, A ⊂ B implies that every element in set A is also in set B, and set B has at least one element that is not in set A.

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Implies (→)

A symbol used to indicate that one statement implies another. For example, A → B means that if statement A is true, then statement B is true.

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Equivalent (⇔)

A symbol used to indicate that two statements are equivalent or logically interchangeable. For example, A ⇔ B means that statement A is true if and only if statement B is true.

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For all (∀)

A symbol used to indicate that a statement is true for all values in a set.

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There exists (∃)

A symbol used to indicate that there exists at least one value in a set for which a statement is true.

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Derivative (dy/dx)

The rate of change of a function with respect to its input. For example, dy/dx represents the derivative of y with respect to x.

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Partial derivative (∂f(x,y)/∂x)

The partial derivative of a multivariable function measures the rate of change with respect to one variable while holding other variables constant. For example, ∂f(x,y)/∂x represents the partial derivative of f with respect to x.

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Integral (∫)

The integral of a function measures the area under its curve. For example, ∫f(x) dx represents the integral of f(x) with respect to x.

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What are plural nouns?

A plural noun represents two or more people, places, things, or ideas.

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How to make plural nouns?

Adding -s or -es to most singular nouns forms their plural forms. Some nouns have irregular plural forms.

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When is the article 'a/an' used?

The article 'a/an' is used with singular countable nouns, the first time a thing/person is mentioned, when stating what something is, when defining a profession, in exclamations with 'What', and in expressions like three times a week.

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When is the article 'the' used?

The article 'the' is used when referring to something already mentioned, when talking about unique things (like the sun), when the context is clear, with places in a town, and with superlatives.

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When are articles not used?

No article is used when speaking in general (with plural and uncountable nouns), with certain nouns after prepositions (at, to, from), before meals, days, and months, before next/last + days, week, etc., and for continents, cities, or countries.

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Study Notes

Basic Mathematical Symbols

  • Symbols represent mathematical operations and relationships
  • Equals sign (=) indicates equality, e.g., 5 = 2 + 3
  • Not equal sign (≠) represents inequality, e.g., 5 ≠ 4
  • Approximately equal sign (≈) denotes an approximation, e.g., sin(0.01) ≈ 0.01
  • Greater than (>), less than (<), greater than or equal to (≥), and less than or equal to (≤) are inequality symbols
  • Parentheses () and brackets [] specify order of operations
  • Plus sign (+), minus sign (-), plus-minus (±), and minus-plus (∓) represent addition, subtraction, and combinations thereof
  • Times sign (×) and multiplication dot (â‹…) denote multiplication
  • Division sign (÷), division slash (/), and horizontal line (=) are used for division operations
  • Period (.) denotes a decimal point
  • Power (exponent) is represented by a superscript
  • Square root (√), cube root (∛), and nth root (√) denote corresponding operations
  • Factorial (!), open interval, and closed interval are used in mathematical expressions

Plural

  • Plural nouns represent more than one person, place, thing, or concept
  • Regular plural forms are typically created by adding "-s" to the singular noun, e.g., book → books
  • Irregular plural nouns have unique plural forms, e.g., child → children, man → men, woman → women
  • Nouns ending in "s," "ss," "sh," "ch," "x," or "z" often take "-es" to form their plural, e.g., bus → buses, quiz → quizzes
  • Nouns ending in "y" preceded by a consonant change "y" to "ies," e.g., theory → theories
  • Some nouns ending in "f" or "fe" change to "ves" in the plural, e.g., knife → knives
  • Some nouns with Latin or Greek origins have unique plural forms, e.g., alumnus → alumni, thesis → theses, phenomenon → phenomena

Articles

  • Articles (a/an, the) are used with nouns to specify if the noun is specific or general
  • "A" or "an" are used before singular countable nouns for the first mention or for general reference, e.g., a book, an apple. "A" is used before words starting with consonants, and "an" is used before words starting with vowels
  • "The" is used before nouns to indicate a specific or previously mentioned noun, e.g., the book, the house
  • Articles are not used with plural nouns or uncountable nouns in certain situations when making general statements, e.g., Gold, iron and copper are metals.

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Description

Test your understanding of basic mathematical symbols used to denote operations and relationships. From equality signs to various forms of inequality, this quiz will cover essential symbols and their meanings in mathematics.

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