Properties of Real Numbers

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## Properties of Real Numbers

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**Properties of Real Numbers**• N: Natural (1,2,3, …) • W: Whole (0,1,2,3,…) • Z: Integers (… -2,-1,0,1,2,…) • Q: Rationals (m/n; m,n integers) • I: Irrational ( , 3.45978) • R: Real (all rational and irrational)**Real Numbers, R**IMAGINARY I Q Z W N**Properties of Real Numbers**• Distributive property • For all real numbers a, b, and ca(b+c) = ab + ac and (b+c)a = ba + ca**Applications of Equations**Problem Solving Plan • Explore the Problem • Plan the solution • Solve the problem • Examine the solution**Absolute Value Equations**Absolute value: Distance from zero For any real number a: If , then If , then