Chapter 6 6
What We’re Learning
Vocabulary
evaluate To substitute the values given
During the next few weeks, our math class
for variables and perform the operations to
will learn about expressions and equations.
find the value of an expression.
You can expect to see work that provides
algebraic expression An expression
practice in using properties in expressions
that contains one or more variables.
and equations. You may wish to use the
variable A letter or a symbol that
following as a guide to help your child.
represents a number in an algebraic
expression.
Guiding Your Child
Using Properties
Property
Explanation
Examples
Commutative Property of
The order in which numbers are added
Addition
does not affect their sum.
6
8
8
6
a
b
b
a
Associative Property of
The way in which numbers are grouped
(5
7)
3
5
(7
3)
Addition
does not affect their sum.
(a
b)
c
a
(b
c)
Identity Property of Addition
The sum of any number and zero is that number.
13
0
13
a
0
a
Commutative Property of
Changing the order of factors does not
8
5
5
8
Multiplication
change their product.
a
b
b
a
Associative Property of
Changing the grouping of factors does not
10
(3
4)
(10
3)
4
Multiplication
change their product.
a
(b
c)
(a
b)
c
Identity Property of
The product of a number and 1 is that number.
62
1
62
a
1
a
Multiplication
Zero Property of
The product of a number and 0 is 0.
19
0
0
Multiplication
a
0
0
Distributive Property of
The product of a number a and a sum
5
(4
2)
(5
4)
(5
2)
Multiplication
(b
c) is equal to the sum of a
b and a
c.
5
6
20
10
30
Sincerely,
Your child’s teacher