Download ALGEBRA 1 Lesson 2-5 “Properties of Numbers” LEQ: Eligible

Name ___________________________
Class Period ____
Date __________________
ALGEBRA 1
“Properties of Numbers”
Lesson 2-5
LEQ:
______________________________________________________________
Eligible Content: M11.A.1.2
Apply number theory concepts to show relationships between real numbers.
Lesson Key Concepts and Vocabulary
Commutative Property of Addition
a + b
= b + a
( _________________________ )
example: _____________________
Commutative Property of Multiplication
h * k
= k * h
( _________________________ )
example: _____________________
Associative Property of Addition
a + ( b + c)
= (a + b) + c
example:
( ______________________________________________ )
_________________________________________________________________
Associative Property of Multiplication
x * ( y * z)
example:
=
(x * y) * z
( ______________________________________________ )
__________________________________________________________________
Identity Property of Addition
a + 0
=
a
example:
________________________________________
example:
_________________________________________
Identity Property of Multiplication
b * 1
= b
Inverse Property of Addition
For every number a there is an additive inverse ( -a ) such that:
example:
the additive inverse of ____ is ____,
and
a + ( -a )
= 0
___________________________
Inverse Property of Multiplication
For every number b ( b ≠ 0 ) there is a multiplicative inverse
Example:
the multiplicative inverse of ____ is ____
𝟏
𝒃
such that:
𝒃 *
𝟏
𝒃
= 1
and ______________________
Multiplication Property of Zero
For every real number k , k * 0 = 0
Example: _______________________________________
Multiplication Property of -1
For every real number n , n * (-1) = -n
Examples
Example:
________________________________
Name the property that each equation illustrates.
1.
(9+3)–5 = 9+(3–5)
___________________________________________
2.
g + 0 = g
___________________________________________
3.
9 * 2 * 7 = 7 * 9 * 2
___________________________________________
4.
4 * 1 = 4
___________________________________________
5.
18 + (-18) = 0
___________________________________________
Class Work Exercise Problems
Name the property that each equation illustrates.
6.
1m = m
__________________________________________
7.
(-3 + 4 ) + 5 = -3 + ( 4 + 5 )
__________________________________________
8.
(3*8)*2
___________________________________________
9.
2 + 0 = 2
___________________________________________
10.
p + q = q + p
___________________________________________
= 3*(8*2)
Assignment: _________________________________________________________________________