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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.8 Whole Numbers

{0,1,2,3,..........} is called the set of Whole Numbers and is denoted by 'W'.

Properties of Whole Numbers in Addition

Closure Property:
For any two whole numbers "a" and "b" their sum (a+b) is also a natural number. This is called the closure property of addition for whole numbers.

Commutative Property:
For any two whole numbers "a" and "b" a+b = b+a. This property is called commutative property of addition for whole numbers.

Associative Property:
For any three whole numbers a, b, c a+(b+c) = (a+b)+c. This property is called the associative property of addition for whole number.

Additive identity:
For every whole number a, a+0 = 0+a = a. 0 is called the additive identity in the set of all whole numbers.

Properties of Whole Numbers in Multiplication

Closure Property:
For any two whole numbers a and b their product a*b is also a whole number. This property is called the closure property of multiplication for whole number.

Commutative Property: For any two whole numbers a, b a*b =b*a. This is called the commutative property of multiplication in whole numbers.

Associative property:
For any three whole numbers a, b, c a*(b*c) = (a*b)*c. This is called the associative property of multiplication in whole numbers.

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.


Directions: Answer the following questions. Also, write five examples of your own for each property.
Q 1: For any three whole numbers a, b and c, a+(b+c) = (a+b)+c. Is this true of false.
False
True

Q 2: For any two whole numbers a, b then a+b = b+a, name the property.
None of these
Commutative Property.
Associative Property
Identity Property

Q 3: Set of whole numbers are denoted by ______.
W
Z
N
I

Q 4: What is the multiplicative identity in whole number.
-1
1
0
None of these

Q 5: {0,1,2,3,.........} is called set of _______.
Natural Numbers
Prime Numbers
Whole Numbers
Integers

Q 6: 3+(4+5) = (4+5)+3, is an example for _____of whole number.
Commutative Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
Associative Property of Multiplication

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Question 8: This question is available to subscribers only!


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