Name: ________________________________________________________ Class Period: _______________
Chapter 2 Section 5 Activity – Discovering the Properties of Real Numbers!
Open up Internet Explorer and go to www.dictionary.com. Have your book open to Chapter 2 Section 5
(Pg 86). Use COMPLETE SENTENCES for all explainations!!
1. Commutative Property of Addition
a. 8 + 20 = ______________
b. Do you think it will change your answer if you switch the 20 and the 8 in part (a)?
c. 20 + 8 = ______________
d. On dictionary.com, look up the word commutative and write definition #1 here:
e. Using complete sentences and in your own words, explain the definition and explain how it
might be related to the two problems in part (1a) and part (1b). (If you want, look up the
definition of interchange to help you out more.)
f. Look on page 86 of your text book. Copy the Commutative Property of Addition here:
Property: ________________________ Example: _________________________
2. Commutative Property of Multiplication
a. 4  25  _____________________
b. Do you think your answer will change if you switch the 4 and the 25 in part (a)?
c. 25  4  _____________________
d. Refer to your definition of commutative in problem #1. Explain how the definition could be
related to the two problems in part (2a) and part (2c).
e. Look in your textbook. Copy the Commutative Property of Multiplication here:
Property: __________________________ Example: ______________________
Name: ________________________________________________________ Class Period: _______________
3. Associative Property of Addition
a. Using PEMDAS simplify (4 + 5) + 3 = _______________
b. Do you think your answer will change if you move the parentheses?
c. Using PEMDAS simplify 4 + (5 + 3) = ______________
d. On dictionary.com type in the word associative and write definition #2 here:
e.
This definition still uses the word associate, so look up the word associate and write definition
#3 here:
f. In your own words, explain the definitions and explain how they could be related to the problems
in part (3a) and part (3c).
g. Look in your textbook. Copy the Associative Property of Addition here:
Property: _________________________ Example: _______________________
4. Associative Property of Multiplication
a. Using PEMDAS simplify (9  3)  2  ___________
b. Do you think your answer will change if you move the parentheses?
c. Using PEMDAS simplify 9  (3  2)  ____________
d. Using your definitions of associative and associate in problem #3, explain how it could relate to
the problems in part (4a) and (4c).
e. Look in your textbook. Copy the Associative Property of Multiplication here:
Property: ____________________________ Example: _______________________
Name: ________________________________________________________ Class Period: _______________
5. Identity Property of Addition
a. 3 + 0 = ______________
b. 0 + 35 = _____________
c. -0.5 + 0 = _____________
d. On dictionary.com type in the word identity and write down definition #2 here:
e. In your own words, explain the definition and explain how it could be related to the problems in
parts (5a)-(5c).
f. Look in your textbook. Copy the Identity Property of Addition here:
Property: _______________________ Example: ___________________________
6. Identity Property of Multiplication
a. 9 1  _________
b. 1 83  _________
c.  142  1  ________
d. Refer to your definition of identity in problem #5. Explain how that definition could relate to
problems (6a)-(6c):
e. Look in your textbook. Copy the Identity Property of Multiplication here:
Property: ________________________ Example: ___________________________
Name: ________________________________________________________ Class Period: _______________
7. Inverse Property of Addition
a. On dictionary.com look up the word inverse and write definition #5 here:
b. Now look up the word invert and write definitions #1 and #2 here:
c. Look in your textbook and copy the Inverse Property of Addition here. Think of at least three
examples like the one in your book:
Property: _____________________________________________________________________
Example: _____________________
Example: _____________________
Example: _____________________
d. Explain how the definitions of inverse and invert are related to the Inverse Property of Addition.
8. Inverse Property of Multiplication
a. Look in your textbook and copy the Inverse Property of Multiplication here. Think of at least
three examples like the one in your book:
Property: _____________________________________________________________________
Example: _____________________
Example: _____________________
Example: _____________________
b. Explain how the definitions of inverse and invert are related to the Inverse Property of
Multiplication.
9. Symmetric Property
a. Look in your textbook and copy the Symmetric Property here. Think of at least 3 examples like
the one in your book:
Property: ____________________________
Example: _____________________
Example: _____________________
Example: _____________________
Name: ________________________________________________________ Class Period: _______________
Name the Property Activity!!!
Go around the room and tell me which property is being illustrated by the given example.
1)
2)
3)
4)
5)
6)