Week 1: Fundamentals

 1.1) Real number Any number that can be expressed in decimal form.For example: 7 (=7.000...), √2 (=1.4142...), -2/3 (= -0.6666667) How do you indicate that a decimal repeats indefinitely? Writing a bar above it Real numbers can be represented as points on a ______ ____. The point associated with the number zero is referred to as the _____. number lineorigin There is a one-to-one correspondence between the set of real numbers and the set of points on the line. Explain This means that each real number is identified with exactly one point on the line; conversely, with each point on the line we identify exactly one real number. The real number associated with a given point is called the ______ of the point coordinate Natural numbers ordinary counting numbers, like 1,2, &3 Integers Natural numbers along with their negatives and zero Rational numbers Real numbers that are ratios of two integers with nonzero denominators It can be proved that a real number is rational if and only if its decimal expansion ________ or _______ terminates (3.15) or repeats (2.433333...) Irrational numbers Real numbers that are not rational for example √2 and π (pi) Intervals (define) can be characterized via _______ uninterrupted portion of the number lineinequalities Open interval (a,b) consists of all real numbers x such a) or nonstrict (≤ or ≥).] Authorchikeokjr ID332682 Card SetWeek 1: Fundamentals Description1.1,1.2,1.4,2.3,2.4 Updated2017-07-17T00:24:19Z Show Answers