Properties of Real Numbers
Reference Charts
Created by Bethany @
MathGeekMama.com
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Properties of Real Numbers
Reference Charts
Thank you for downloading this resource! I hope it provides a handy reference for
your students that they can keep in their notebook to refer back to all year.
There are two versions. The first is intended for middle school or pre-algebra
students who are not yet studying the inverse properties. The second includes both
the additive inverse and multiplicative inverse.
Both charts leave the distributive property blank, as this is usually the property
that requires more time and attention, and this will allow you to explore the
property first, then have students explain it in their own words on their reference
chart.
How to Use This Chart:
An explanation of each property is given in words to help save time as you discuss
with your class, but it is important that students write 2-3 examples for each
property on their own. This will help them put the property into practice so they
can be sure they understand it.
When you’re ready to discuss the distributive property, allow multiple students to
explain it in their own words and then encourage students to write their own
description and examples in the blanks.
Once you’re discussed all properties, students can keep this chart in the front of
their binder to look back at anytime. If you are using interactive notebooks, you
may want to print the charts two to a page so they are small enough to glue into
their notebook.
Created by Bethany @
MathGeekMama.com
Properties of Real Numbers
Property:
Additive
Identity
Words:
Examples:
When zero is added to any
number, the sum is the number.
Multiplicative
Identity
When any number is multiplied by 1,
the product is the number.
Multiplicative
Property of
Zero
When any number is multiplied by
0, the product is 0.
Commutative
Property
(Addition)
The order in which numbers are
added does not change the sum.
Commutative
Property
(Multiplication)
The order in which numbers are
multiplied does not change the
product.
Associative
Property
(Addition)
The order in which numbers are
grouped when adding does not
change the sum.
Associative
Property
(Multiplication)
The order in which numbers are
grouped when multiplying does
not change the product.
Distributive
Property
© MathGeekMama.com
Properties of Real Numbers
Property:
Additive
Identity
Multiplicative
Identity
Words:
Examples:
When zero is added to any
number, the sum is the number.
When any number is multiplied by 1,
the product is the number.
Additive
Inverse
A number and it’s opposite are
inverses of each other.
Multiplicative
Inverse
For every number a/b, when b is not 0,
there is exactly one number, b/a, such
that the product of a/b x b/a is 1.
Multiplicative
Property of
Zero
When any number is multiplied by
0, the product is 0.
Commutative
Property
(Addition)
The order in which numbers are
added does not change the sum.
Commutative
Property
(Multiplication)
The order in which numbers are
multiplied does not change the
product.
Associative
Property
(Addition)
The order in which numbers are
grouped when adding does not
change the sum.
Associative
Property
(Multiplication)
The order in which numbers are
grouped when multiplying does
not change the product.
Distributive
Property
© MathGeekMama.com
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