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Rational and Irrational Numbers Study Guide Know Vocabulary! Name:_______________________ Converting Terminating Decimals to Fractions WRITE IT LIKE YOU SAY IT! When Classifying Remember: Rational Numbers: Repeat OR Terminate Irrational Numbers: Non-Repeating and Non-Terminating 4 Steps to Convert Repeating Decimals to Fractions 1. Set the decimal equal to a variable 2. Find the position where the repetition ends, and multiply the equation by that number 3. Create a subtraction problem 4. Solve for the variable Plot Numbers on a Number Line A: 2.56 B: √14 Rational Approximations: Square the numbers to find which is closer. Example: Which is closer to the square root of 5, 2.2 or 2.3? 2.22 = 4.84 2.32 = 5.29 Therefore, 2.2 is closer to the square root of 5. C: π D: 4/8 Ordering Numbers: √25, 4.7, -1.3, 4.777… Converting Percents to Decimals To the Left, To the Left, Move the Decimal to the Left 51.9% Between two integers: √25 < √32 < √36 5 < √32 < 6