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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.
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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