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Real Numbers in Mathematics

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Questions and Answers

Which type of number can be used to measure a continuous one-dimensional quantity?

Rational numbers

Complex numbers

Real numbers (correct)

Imaginary numbers

How are real numbers distinguished from imaginary numbers?

By being irrational

By being transcendental

By being rational

By being represented on the number line (correct)

What type of numbers include the rational numbers and the irrational numbers?

Transcendental numbers

Complex numbers

Real numbers (correct)

Algebraic numbers

Which type of numbers can be almost uniquely represented by an infinite decimal expansion?

Rational numbers Signup and view all the answers

What is the set of real numbers denoted as?

$oldsymbol{R}$ Signup and view all the answers

What are the operations involved in a polynomial?

Addition, subtraction, multiplication, and positive-integer powers of variables Signup and view all the answers

What does the term 'polynomial' mean?

A sum of many terms (many monomials) Signup and view all the answers

What does the 'x' in a polynomial commonly refer to?

A variable or an indeterminate Signup and view all the answers

In what areas of mathematics and science do polynomials appear?

Forming polynomial equations, defining polynomial functions, and in calculus and numerical analysis Signup and view all the answers

What are the roots of the word 'polynomial'?

The Greek poly meaning 'many' and the Latin nomen meaning 'name' Signup and view all the answers

Which of the following is a polynomial with three indeterminates?

$3x^2 + 5xy - 7y^3$ Signup and view all the answers

What is the meaning of the term 'polynomial'?

A mathematical expression consisting of variables and coefficients Signup and view all the answers

Real Numbers in Mathematics

Choose a study mode

Podcast

Questions and Answers

Which type of number can be used to measure a continuous one-dimensional quantity?

How are real numbers distinguished from imaginary numbers?

What type of numbers include the rational numbers and the irrational numbers?

Which type of numbers can be almost uniquely represented by an infinite decimal expansion?

What is the set of real numbers denoted as?

What are the operations involved in a polynomial?

What does the term 'polynomial' mean?

What does the 'x' in a polynomial commonly refer to?

In what areas of mathematics and science do polynomials appear?

What are the roots of the word 'polynomial'?

Which of the following is a polynomial with three indeterminates?

What is the meaning of the term 'polynomial'?

In what fields do polynomials appear?

What does the word 'polynomial' mean etymologically?

What is commonly referred to as an 'indeterminate' in a polynomial?

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