Download Algebra 1.3 Properties of Numbers Vocabulary… Equivalent

Algebra
1.3 Properties of Numbers
Vocabulary…
Equivalent Expressions
Additive Identity
Multiplicative Identity
Multiplicative Inverse
Reciprocal
Part 1: Properties of Equality and Identity
Properties of Equality
Property
Words
Symbols
Examples
Reflexive
For any numbers a and
b, if a = b, then b = a.
If one quantity equals a
second quantity and the
second quantity equals a
third quantity, then the
first quantity equals the
third quantity.
If n = 11, then 4n = 4 x
11.
Addition Properties
Property
Additive Identity
Words
Symbols
Examples
A number and its
opposite are additive
inverses of each other.
Multiplication Properties
Property
Words
Symbols
Multiplicative Identity
a(0) = 0
0(a) = 0
For every number , b
0, there is exactly one
number
such that the
product of
Name the properties and then evaluate.
1)
2)
3)
Examples
Part 2: Use Commutative and Associative Properties
Property
Words
Symbols
Examples
The order in which you
add or multiply numbers
does not change their
sum or product.
The way you group three
or more numbers when
adding or multiplying
does not change their
sum or product.
Real-World Connection.
1) Eric makes a list of items that he needs to buy for a party and their costs. Find the total cost.
a) Balloons: $6.75
b) Decorations: $14
c) Food: $23.25
d) Beverages: $20.50
2) Rafael is buying furnishings for his first apartment. He buys a couch for $300, lamps for $30.50, a rug
for $25.50, and a table for $50. Find the total cost of these items.