1. Copyright © Ed2Net Learning, Inc.1 Compare & Order Rational Numbers / Irrational Numbers #2

2. Copyright © Ed2Net Learning, Inc.2 Hello! How are you doing today?

3. Copyright © Ed2Net Learning, Inc.3 Compare & Order Rational Numbers  Rational numbers are numbers that can be written as the ratio of two integers where zero is not the denominator.  Rational Numbers are in various forms: integers, percents, and positive and negative fractions and decimals  In order to compare rational numbers, rewrite all numbers so that they are in the same form : Either all decimals or all fractions with a common denominator

4. Copyright © Ed2Net Learning, Inc.4 Compare & Order Rational Numbers  To compare two positive fractions, find equivalent fractions that have a common denominator. Then compare the numerators to determine which fraction was smaller.  To compare a positive fraction and a positive decimal, find equivalent decimal for the fraction and then compare the digits in the two decimals that have the same place value.  To compare two negative fractions, find equivalent fractions that have a common denominator. Then compare the numerators; whichever numerator is closer to zero is the largest fraction.

5. Copyright © Ed2Net Learning, Inc.5 Irrational Numbers  Irrational numbers are numbers that cannot be written as the ratio of two integers. Examples π; √2  Square Root of a given number is a number that when multiplied by itself equals the given number. Example √16 = 4 The side length of a square is the square root of the area of the square.

6. Copyright © Ed2Net Learning, Inc.6 Irrational Numbers  To estimate the value of an irrational number such as √6 Determine between which 2 consecutive numbers √6 would be located on a number line.  √6 would be located between 2 and 3 since 2 2 is 4 and 3 2 is 9.  6 is closer to 4 than it is to 9; so √6 will be less than halfway (2.5). A good estimate would for √6 would be 2.4  You can check the estimate by squaring it. 2.4 2 is 5.76 which is close to 6.

7. Copyright © Ed2Net Learning, Inc.7 Let us do some practice problems!

8. Copyright © Ed2Net Learning, Inc.8 1) Which number sentence compares the fractions represented by Red and yellow colors shown in the model? A B a)A < B b)A = B c)A > B d)None of the above.

9. Copyright © Ed2Net Learning, Inc.9 2) Identify the irrational number. 2.3, √-8, √25, 0.43433....., 8 9 3 a)0.43433..... b)√-8 c)√169 d)8 9 3

10. Copyright © Ed2Net Learning, Inc.10 3) Which number sentence compares the two fractions that the models represent? A B a)A < B b)A = B c)A > B d)None of the above.

11. Copyright © Ed2Net Learning, Inc.11 4) Which number sentence puts the following set of numbers in ascending order ? 1.3, √5, √3, -5, 1 7 4 3 d) -5, 1, 1.3, √5, √3, 7 4 3 a) -5, 1, √3, 1.3, √5 7 4 3 b) -5, √3, 1, 1.3, √5 7 4 3 c) -5, √3, 1, √5, 1.3 7 4 3

12. Copyright © Ed2Net Learning, Inc.12 a)3√5 b)2√3 c)3√2 d)None of the above. 5) Which number is represented by the line segment AB? 0 3 6-3 -6 A B 3

13. Copyright © Ed2Net Learning, Inc.13 6) Which of the following symbols best compares the following fractions? 25 19 32 27 a)< b)> c)= d)None of the above.

14. Copyright © Ed2Net Learning, Inc.14 7) Which is the rational number between 3 and 3 ? 5 4 a) 51 80 b) 25 29 c) 125 129 d) 5 11

15. Copyright © Ed2Net Learning, Inc.15 8) The area of a square is 340 square feet. Which best represents the length of a side of the square? a)12.2 feet b)18.4 feet c)13.3 feet d)14.5 feet

16. Copyright © Ed2Net Learning, Inc.16 9) Which number sentence puts the following set of numbers in descending order ? -3.05, -3.005, -35, -3.45 10 a) -3.05, -3.005, -35, -3.45 10 b) -3.45, -3.005, -35, -3.05 10 c) -3.005, -3.05, -3.45, -35 10 d) -3.45, -3.005, -3.05, -35 10

17. Copyright © Ed2Net Learning, Inc.17 10) If the diameter of a circle is 5.2 cm, which is the reasonable value of the area of the circle? a)24.23 cm 2 b)23.23 cm 2 c)22.23 cm 2 d)21.23 cm 2

18. Copyright © Ed2Net Learning, Inc.18 Assessment

19. Copyright © Ed2Net Learning, Inc.19 1) The area of a square is 250 square centimeters. What is the approximate perimeter of the square? a)61.33 cm b)59.82 cm c)67.22 cm d)63.24 cm

20. Copyright © Ed2Net Learning, Inc.20 2) Matt has to chose the irrational number listed below that is closest to 45. which number should Matt chose? a)√2024 b)√2035 c)√2055 d)√3025

21. Copyright © Ed2Net Learning, Inc.21 3) If the area of a square is 128.58 cm 2, which is the reasonable value of the perimeter of the square ? a)44.6 cm b)43.6 cm c)45.6 cm d)42.6 cm

22. Copyright © Ed2Net Learning, Inc.22 4) Which is the rational number between -3 and -1 ? 4 a) -4 2 b) -2 4 c) 5 9 d) -7 8

23. Copyright © Ed2Net Learning, Inc.23 5) Which of the following symbols best compares the following fractions? -21 -65 26 81 a)= b)< c)> d)None of the above.

24. Copyright © Ed2Net Learning, Inc.24 6) If the area of the triangle is 3 square unit, What is the total area of the blue and green figure? a)32 square unit b)20 square unit c)28 square unit d)24 square unit

25. Copyright © Ed2Net Learning, Inc.25 7) Michael secured 83.68% marks; John secured 83 7 %marks 12 and Roger secured 83 14% marks. Who secured the 19 highest percentage of marks? a)John b)Roger c)Michael d)All of the above

26. Copyright © Ed2Net Learning, Inc.26 8) Tell which product is not a whole number. a)√13 * √52 b)√14 * √126 c)√14 * √124 d)None of the above.

27. Copyright © Ed2Net Learning, Inc.27 a)3√3 b)5√2 c)2√5 d)2√2 9) Which number is represented by the line segment AD if AC = 3 and BC = 3? 0 3 6-3 -6 A B 3 C D 3

28. Copyright © Ed2Net Learning, Inc.28 10) Which of the following symbols best compares the following fractions? -0.73 -13 15 a)< b)> c)= d)None of the above.

29. Copyright © Ed2Net Learning, Inc.29 You did a great job today!