Closure Property:
For any two whole numbers a and b, their product a*b is also a whole number.
Example: 10*9 = 90
Commutative Property:
For any two numbers a and b, a*b = b*a.
Example: 9*13 = 13*9 =117
Associative Property:
For any three whole numbers a, b, and c, a*(b*c) = (a*b)*c.
Example: 4*(5*6) = (4*5)*6 = 120
Multiplicative Identity:
For any whole number a, a*1 = 1*a = a. Here 1 is called the multiplicative identity in the set of all whole numbers.
Example: 1*11 = 11.
Distributive Property of Multiplication Over Addition:
For any three whole numbers a, b, and c, a*(b+c) = a*b + a*c.
Example: 3*(5+20) = 3*5 + 3*20 = 75
Directions: Chose the correct answer. Also write at least 5 examples of your own for each property.
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