This free study skills site is provided by Mangrum-Strichart Learning Resources
A Mangrum-Strichart Learning Resources
site for Educators, Students, and Parents
 

 

Basic Number Properties

 
 
Icon to email this article to a friend Icon to print this article

There are four basic properties of numbers: commutative, associative, distributive, and identity. You should be familiar with each of these. It is especially important to understand these properties once you reach advanced math such as algebra and calculus.

Number Properties, Symbols

Commutative Property

a. Addition. When two numbers are added, the sum is the same regardless of the order in which the numbers are added.

3 + 5 = 8       or       5 + 3 = 8

b. Multiplication. When two numbers are multiplied together, the product is the same regardless of the order in which the numbers are multiplied.

3 x 5 = 15       or       5 x 3 = 15

Associative Property

a. Addition. When three or more numbers are added, the sum is the same regardless of the way in which the numbers are grouped.

6 + (4 + 3) = 13   or   (6 + 4) + 3 = 13

b. Multiplication. When three or more numbers are multiplied, the product is the same regardless of the way in which the numbers are grouped.

6 x (4 x 3) = 72   or   (6 x 4) x 3 = 72
Number Properties, Guy at Chalkboard

Distributive Property

The sum of two numbers times a third number is equal to the sum of each addend times the third number.

5 x (7 + 2) = 45   or   5 x 7 + 5 x 2 = 45

Identity Property

a. Addition. The sum of any number and zero is that number.

12 + 0 = 12

b. Multiplication, The product of any number and one is that number.

18 x 1 = 18

Knowing these properties of numbers will improve your understanding and mastery of math.

All articles in the Math category:

     
Basic Math Symbols Math Tips Math Vocabulary
Math Word Problems Measurement Units Number Properties
Reading a Math Textbook Roman Numerals Temperature Scales
     
 

 
 
     
 
Site design, SEO and hosting by Arc Seven Technology
      © 2001-2017 Mangrum-Strichart Learning Resources