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Transcript
Real Numbers and the Number Line Chapter 1 Section 3 Objective Students will classify, graph and compare real numbers Students will find and estimate square roots Square Root A number a is a square root of a number b if if a2 = b Radicals Radical Symbol √ A Radicand is the number under the radical symbol (sometimes called square root sign) A “radical” is just a number written in the form of a radical symbol and a radicand. Turn to Page 17… Look at Problem 1 Try the “Got It” problem for that example. Perfect Square When the square root of a number comes out to be a whole number then the number is considered a perfect square. How many perfect squares can you name? On page 17… Look at Problem 2… Try the “Got It” problem for that example. Set A well defined collection of objects Sets are useful to classify numbers and place them in similar categories. Each part of the set is called an “element” A “subset” is a particular group of elements of a set. Real Number System 1. 2. 3. 4. 5. A set of numbers including: Rational Numbers Natural Numbers Whole Numbers Integers Irrational Numbers Rational Number Any number than can be written in the form a/b where a and b are integers and b is not equal to zero. In decimal form, is either a terminating decimal or a repeating decimal. Natural Number These are the counting numbers {1,2,3,…} Whole Numbers Natural numbers and 0 {0,1,2,3,…} Integers Whole Numbers and their opposites {…-3,-2,-1,0,1,2,3,…} Irrational Numbers Does Not fit into any of the above categories. Cannot be written as fractions As decimals they are non-terminating or repeating. Inequality A mathematical sentence that compares the values of two expressions using an inequality symbol. < means less than > Means greater than ≤ Means less than or equal to ≥ Means greater than or equal to On page 19… Look at Problem 4 and 5 Try the Got It problems for these examples. Turn to Page 20 Try problems #1-8 on your own. Raise your hand when you are finished.