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Relationships Between Sets of Rational Numbers Review comparison symbols > Greater Than < Less Than Not in Notes Rational Decimal - Repeating & Terminating Irrational Integers ….-4,-3,-2,-1, Fractions π Whole 0 Percents 0 Counting numbers 1,2,3,4 … Not in notes Rational numbers can be written in several forms 2 1 +1 2-0 2*1 Most common 2/1 4/2 8/4 Simplified fraction 2.0 200% Decimal Percent -(-2) When rational numbers are written in a variety of forms, you can compare the numbers by writing them all in the same form. The values on a number line increase as you move from left to right. -50 -40 -30 -20 -10 0 < 10 20 30 40 50 Order from least to greatest. 1. Change all numbers to percents 4 5 , 0.93, and 90 % EX 1) 80 % 90 % 93 % Graph the numbers on a number line. 4 5 0.93 90 % 0 10 20 30 40 50 60 70 80 90 Write the original numbers in least to greatest order 4 , 90 %, 0.93 5 100 % Write the original numbers in least to greatest order EX 2) 3 , 84 %, and 0.7 5 60 % 84 % 70 % 0 3 , 0.7, 84% 5 ½ 1 3 5 , 84 %, and 0.7 60 % 84 % 70 % Graph the numbers on a number line. - - - EX 3) -100 -90 - -80 -70 - -60 -50 -40 - - 84% , - 0.7, 3 5 -30 -20 LEAST What do you notice between the two examples above? -10 GREATER 0 % Conversions you need to memorize Fraction Decimal Percent Fraction Decimal Percent 1 1.0 100 1/10 0.1 10 ¼ .25 25 2/10 0.2 20 ½ 0.5 50 1/25 0.04 4 3/4 0.75 75 1/50 0.02 2 1/8 0.125 12.5 1/100 0.01 1 5/8 0.625 62.5 1/3 0.33 33 1/3 1/5 0.2 20 2/3 0.66 66 2/3 4/5 0.8 80 Any fraction with a denominator of 5,10,100. Essential Question What is a simple rule for comparing rational numbers? Notes Date _______________ Relationships Between Sets of Rational Numbers Order from least to greatest. 1. Change all numbers to __________ EX 1) Graph the numbers on a number line. 0 10 20 30 40 50 60 70 80 90 Write the original numbers in least to greatest order 100 Write the original numbers in least to greatest order EX 2) 0 ½ 1 EX 3) Graph the numbers on a number line. -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 Conversions you need to memorize Fraction Decimal Percent Fraction Decimal Percent 1 1.0 100 1/10 0.1 10 ¼ .25 25 2/10 0.2 20 ½ 0.5 50 1/25 0.04 4 3/4 0.75 75 1/50 0.02 2 1/8 0.125 12.5 1/100 0.01 1 5/8 0.625 62.5 1/3 0.33 33 1/3 1/5 0.2 20 2/3 0.66 66 2/3 4/5 0.8 80 Any fraction with a denominator of 5,10,100. Essential Question What is a simple rule for comparing rational numbers?