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?