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Transcript

Lesson Opener 2-1 The Real Number Line • Real Numbers = the set of all positive and negative numbers and zero – – – – The point labeled zero is the ORIGIN Negative numbers = the points to the left of zero Positive numbers = the points to the right of zero Real number line: • -5 -4 -3 -2 -1 0 1 2 3 4 5 6 • Plotting points = putting a dot on the number line where the given number would be • Opposites = two points that are the same distance from the origin but on opposite sides – Ex: Opposite of 3 = -3 Opposite of –8 = 8 • Absolute value = the distance between the origin and the point representing the real number – Symbol = a – Ex: 8 8 8 8 -a a • Counterexample = you come up with one example to prove that a statement is false Practice Graph the numbers on a number line. Then write two inequalities that compare the two numbers. • 1.) 3, -5, 0 • 2.) -0.1, -1.1, -1 • 3.) 1 , 3 , 1 2 4 4 Practice 2 Find the opposites of the number 1.) 3.8 2.) -16 3.) 0 4.) -2.04 5.) 3 1 6.) 2 6 3 Evaluate the expression by finding absolute value 1 1.) 12 2.) 4.1 3.) 5 4.) -103 5.) 7.8 6.) -6.1 6.01 When will I use this? Summary • The set of numbers consisting of the positive numbers, the negative numbers, and zero are called ___________ ___________. • The point labeled zero on the number line is called the _______________. • You can graph or plot points on a ___________ ______________. • The distance between the origin and the point representing the real number is called the___________ ___________. • Two points that are the same distance from the origin but on different sides are called___________. Check Yourself • Pg. 67-70 # 20-52 eoe, 54-60, 88-102 e • # 20-26: graph numbers on a number line • #28-32: write the number in increasing order • #34-48: find the opposite or absolute value of each number • #54-56: write counterexamples if the statement is false • #88-102: mixed review