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Properties Of Real Numbers And Their Application In Algebraic Expressions 1

Get step-by-step Assignment Answers on real number properties and their algebraic applications.

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Properties of Real Numbers and Their Application in Algebraic ExpressionsINTODUCTIONA real number may be either rational or irrational,either algebraic ,positive, negative, or zero. Realnumbers are used to measure continuous quantities. They may be expressed by decimal representationsthat have an infinite sequence of digits to the right of the decimal point.In mathematics, a real number is a value that represents a quantity along a continuous line. The realnumbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all theirrational numbers such as √2 (1.41421356... the square root of two, an irrational algebraic number) andπ (3.14159265..., a transcendental number).all number other than imaginary(complex) are realnumbers.In the given assignmentwe will learn at some properties thatapply to all real numbers. If welearnthese properties, they will help to solve problems in algebra. Each property in detail (Distribution,Coefficient,Removing parentheses) has been applied to an algebraic expression.BODYMATHS WORKPROPERTIES USED2a(a–5) + 4(a–5)given expression2a^2-10a + 4a-20Thedistributiveproperty removes the parentheses.2a^2–6a–20(ANSWER)Like termsare combined byadding coefficients2w–3 + 3(w–4)–5(w–6)given expression2w-3 + 3w-12-5w + 30Thedistributiveproperty removes the parentheses.2w + 3w-5w-3-12 +30Like terms are arranged together using the

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