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4-2: Compare and Order Rational Numbers What is a Rational Number ? A rational number is a number that can be expressed as a ratio of two integers written as a fraction, in which the denominator is not zero. The Real Number System: 1. Natural Numbers 2. Whole Numbers 3. Integers 4. Rational Number What is a Common Denominator ? What is the Least Common Denominator (LCD) ? Example 1b: Page 272 5 19 13 19 A common denominator is a common multiple of the denominators of two or more fractions. The LCD is the least common multiple of the denominator. Known as the Fill in the with LCM. <, > or = to make the statement true: 5 6 Example 1d: Page 272 and −9 16 7 9 −7 10 1. Find the LCD of the fractions. 2. Compare. 1. Cross multiply 2. Compare Example 2e: Page 273 How can I Order Rational Numbers ? Example 3f: Page 273 In a second period class, 37.5% of student like to bowl. In a fifth period class, 12 out of 29 students like to bowl. In which class goes a great fraction of student like to bowl? 1. Make fractions decimals. 2. Solve problem. to or the {3.44, π , 3.14} You can order rational numbers using place value. Order the set {23%, .21, 14 , 15 } 1. Turn all to from least to decimals. 2. Then write out greatest. the order with original numbers. Summary: