# Chapter2 - Segment Measure and Coordinate Graphing Segment...

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Segment Measure and Coordinate Graphing § 2.1 2.1 Real Numbers and Number Lines Real Numbers and Number Lines § 2.4 2.4 The Coordinate Plane The Coordinate Plane § 2.3 2.3 Congruent Segments § 2.2 2.2 Segments and Properties of Real Numbers Segments and Properties of Real Numbers § 2.5 2.5 Midpoints Midpoints

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1. Find the next three terms of the sequence 12, 17, 23, 30, … , 2. Name the intersection of planes ABC and CDE in the figure. CD uur s 38, 47, 57 A ray extends in only one direction and has an endpoint. 5 Minute-Check 5 Minute-Check A B D E F C 3. How does a ray differ from a line? A line extends in two directions. 4. Find the perimeter and area of a rectangle with length of 10 centimeters and width of 4 centimeters. 28 P cm = 2 40 A cm =
Real Numbers and Number Lines You will learn to find the distance between two points on a number line. 1) Whole Numbers 2) Natural Numbers 3) Integers 4) Rational Numbers 5) Terminating Decimals 6) Nonterminating Decimals 7) Irrational Numbers 8) Real Numbers 9) Coordinate 10 Origin 11) Measure 12) Absolute Value

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Real Numbers and Number Lines Numbers that share common properties can be classified or grouped into sets. Different sets of numbers can be shown on number lines. 0 2 1 4 3 6 5 7 9 8 10 This figure shows the set of _____________ . whole numbers The whole numbers include 0 and the natural, or counting numbers. The arrow to the right indicate that the whole numbers continue _________. indefinitely
Real Numbers and Number Lines 0 2 1 4 3 -5 5 -4 -2 -3 -1 This figure shows the set of _______ . integers positive integers negative integers The integers include zero, the positive integers, and the negative integers. The arrows indicate that the numbers go on forever in both directions.

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Real Numbers and Number Lines A number line can also show ______________. rational numbers 0 2 1 -1 -2 4 3 3 8 2 3 13 8 1 5 - 5 3 - 11 8 - A rational number is any number that can be written as a _______, where a and b are integers and b cannot equal ____. a b fraction zero The number line above shows some of the rational numbers between -2 and 2. In fact, there are _______ many rational numbers between any two integers. infinitely
Real Numbers and Number Lines Rational numbers can also be represented by ________. decimals 3 0.375 8 = 2 0.666 . . . 3 = 0 0 7 = Decimals may be __________ or _____________. terminating nonterminating 0.375 0.49 terminating decimals. 0.666 . . . -0.12345 . . . nonterminating decimals. The three periods following the digits in the nonterminating decimals indicate that there are infinitely many digits in the decimal.

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Real Numbers and Number Lines Some nonterminating decimals have a repeating pattern. 0.17171717 . . . repeats the digits 1 and 7 to the right of the decimal point. A bar over the repeating digits is used to indicate a repeating decimal. 0.171717 . . . 0.17 = Each rational number can be expressed as a terminating decimal or a nonterminating decimal with a repeating pattern.
Real Numbers and Number Lines Decimals that are nonterminating and do not repeat are called _______________.

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## This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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Chapter2 - Segment Measure and Coordinate Graphing Segment...

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