Name ___________________________________ Section P1-1: Study Properties of Real Numbers Fill in the blanks with the correct terms: 1. Real Numbers consist of _________________ numbers and _________________ numbers. 2. Rational Numbers can be written as _______________ of integers and in decimal form they ________________ or __________________. 3. Irrational Numbers CANNOT written as ________________ of integers and in decimal form they CANNOT ___________________ or _____________________. Identify the following REAL numbers as RATIONAL or IRRATIONAL: 4. -7.2 ______________ 5. √20 _______________ 7. ______________ 8. √36 _______________ 9. 10. 4.125 ______________ 11. – 0.4 _______________ 12. 0 6. 12 5 1 9 _______________ _______________ π _______________ Order the Real Numbers from Least to Greatest: 3 13. - 4 , 5, 9 2 ,- 2 , - 1 14. 6, - √5 , 2.7,- 2 , _________________________________________ 7 3 _________________________________________ Name the property of real numbers illustrated by each equation. 15. (4 + 9) + 3 = 4 + (9 + 3) ______________________________________________ 16. 12· 1 = 12 ______________________________________________ 17. 8 · 5 = 5 · 8 ______________________________________________ 18. 4 + (- 4) = 0 ______________________________________________ 21. (4 · 5) · 8 = 4 · (5 · 8) 1 22. 3 · 3 = 1 ______________________________________________ _______________________________________________ Assess each statement as TRUE or FALSE and provide a counterexample, if applicable. 23. The absolute value of a number, n, and the opposite of the same number, n, always results in the same number. ____________________ 24. All square roots are RATIONAL numbers. ____________________ 25. The sum or product of two REAL Numbers is always a REAL number. _____________________ What are two ways to solve the following problem? Identify the properties of real numbers illustrated when possible. 26. You have a $100 off coupon for a particular laptop at BEST BUY. There is also a 15% off sale on all items in the store. Show two ways to determine the final price of the laptop if the original price is $600. 27. Is there a difference in the final price of the laptop with the two methods used? How would BEST BUY want the final price calculated? How would you want the final price calculated?