Mathematics - Lecture 2 "The real number system and integer exponents" presents the following content: The real number system, axioms on equality, cancellation laws, subtraction, division, order axioms of R, the real number line, interval notation, the absolute value, geometric interpretation of absolute value,. | The Real Number System and Integer Exponents Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 2 Math 17 (UP-IMath) R and Integer Exponents Lec 2 1 / 33 Outline 1 The Real Number System Axioms on R Order in R The Real Number Line Interval Notation The Absolute Value 2 Integer Exponents Laws of Exponents Math 17 (UP-IMath) R and Integer Exponents Lec 2 2 / 33 The Real Number System Recall: R, the set of real numbers The real number system consists of R and two operations on its elements: addition and multiplication Math 17 (UP-IMath) R and Integer Exponents Lec 2 3 / 33 The Real Number System Recall: R, the set of real numbers The real number system consists of R and two operations on its elements: addition and multiplication Operation Addition Multiplication Math 17 (UP-IMath) Symbol + · R and Integer Exponents Result Sum a + b Product a · b Lec 2 3 / 33 Axioms on Equality Axioms: logical statements that are assumed to be true Math 17 (UP-IMath) R and Integer Exponents Lec 2 4 / .
