write the properties of natural numbers;whole numbers;integersand also check the properties in each operations like closure property; commitative;associative;additive identity;multiplicative identity;additive inverse;multiplicative inverse;distributive property
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Step-by-step explanation:
Properties of Whole Numbers: We all are well aware with the definition of the whole numbers. It starts with 0 and has the set of all natural numbers in it. Let us do one interesting activity with whole numbers. Think of any whole number of your choice. Add it with any other whole number. What will you get? Is it a whole number?
Subtract the chosen whole number with any other whole number. You will again get a whole number. But not always. Multiplying and dividing a whole number with another one will give a whole number sometimes. These are some of the properties of whole numbers. Let us learn about the properties of whole numbers in detail.
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Properties of natural numbers are....
• Natural Number Addition is Closed.
• Natural Number Addition is Associative.
• Natural Number Addition is Commutative.
• Identity Element of Natural Number Addition is Zero.
• Natural Number Multiplication is Closed..
• Natural Number Multiplication is Associative.
Properties of whole number are....
• Closure Property. They can be closed under addition and multiplication, i.e., if x and y are two whole numbers then x. ...
• Commutative Property of Addition and
Multiplication. ...
• Additive identity. ...
• Multiplicative identity. ...
• Associative Property. ...
• Distributive Property. ...
• Multiplication by zero. ...
• Division by zero.
Properties of integers are..
• Closure Property.
• Associative Property.
• Commutative Property.
• Distributive Property.
• Identity Property.
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