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Grade 7 - Mathematics1.16 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.

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: Set of whole numbers are denoted by ______.INWZ Q 2: What is the multiplicative identity in whole number.None of these10-1 Q 3: {0,1,2,3,.........} is called set of _______.Natural NumbersWhole NumbersPrime NumbersIntegers Q 4: For any two whole numbers a, b then a+b = b+a, name the property.Commutative Property.None of theseIdentity PropertyAssociative Property Q 5: For any three whole numbers a, b and c, a+(b+c) = (a+b)+c. Is this true of false.FalseTrue Q 6: 0 is called the _____ in the set of all whole numbers.Additive IdentityNone of theseMultiplicative Identity Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!