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Relationships Between Sets of Rational Numbers. Review comparison symbols > < Greater Than Less Than Not in Notes.

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Presentation on theme: "Relationships Between Sets of Rational Numbers. Review comparison symbols > < Greater Than Less Than Not in Notes."— Presentation transcript:

1 Relationships Between Sets of Rational Numbers

2 Review comparison symbols > < Greater Than Less Than Not in Notes

3 0 Whole Fractions Decimal - Repeating & Terminating Integers Percents Rational Irrational 1,2,3,4 … Counting numbers 0 ….-4,-3,-2,-1, π

4 Rational numbers can be written in several forms 2 1 +12 - 02/14/28/4 2.0200%-(-2)2*1 Most commonSimplified fraction DecimalPercent Not in notes 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 <

5 Order from least to greatest. 4545 0.93, and 90 %, 80 % Graph the numbers on a number line. 93 % 90 % 4545 1. Change all numbers to percents EX 1) 0 10 20 30 40 50 60 70 80 90 100 4545 0.93 90 % Write the original numbers in least to greatest order, 90 %, 0.93 %

6 , 84 %, and 0.7 3535 60 %84 %70 % 3535 Write the original numbers in least to greatest order EX 2), 0.7, 84%, 84 %, and 0.7 3535 60 %84 %70 % EX 3) --- --- Graph the numbers on a number line. -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 - 84%, - 0.7, 3535 - What do you notice between the two examples above? LEAST GREATER 0 ½ 1 %

7 Conversions you need to memorize FractionDecimalPercent 11.0100 ¼.2525 ½0.550 3/40.7575 1/80.12512.5 5/80.62562.5 1/50.220 4/50.880 FractionDecimalPercent 1/100.110 2/100.220 1/250.044 1/500.022 1/1000.011 1/30.3333 1/3 2/30.6666 2/3 Any fraction with a denominator of 5,10,100.

8 Essential Question What is a simple rule for comparing rational numbers?

9 Notes

10 Relationships Between Sets of Rational Numbers Date _______________

11

12 Order from least to greatest. Graph the numbers on a number line. 1. Change all numbers to __________ EX 1) 0 10 20 30 40 50 60 70 80 90 100 Write the original numbers in least to greatest order

13 EX 2) EX 3) Graph the numbers on a number line. -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0 0 ½ 1

14 Conversions you need to memorize FractionDecimalPercent 11.0100 ¼.2525 ½0.550 3/40.7575 1/80.12512.5 5/80.62562.5 1/50.220 4/50.880 FractionDecimalPercent 1/100.110 2/100.220 1/250.044 1/500.022 1/1000.011 1/30.3333 1/3 2/30.6666 2/3 Any fraction with a denominator of 5,10,100.

15 Essential Question What is a simple rule for comparing rational numbers?


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