what are the important quesrion on rational numbers chapter
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Natural and Whole Number
Counting Numbers/Natural Numbers
The numbers 1,2,3,… are called natural numbers or counting numbers.
Whole Numbers
Let us add one more number i.e. ,zero(0), to the collection of natural numbers.
Now the numbers are 0,1,2,… These numbers are called whole numbers
We can say that whole nos. consist of zero and the natural numbers. Therefore, except zero all the whole nos. are natural numbers.
So all natural Number are whole number but all whole numbers are not natural numbers
Integers
Z={…-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6…..}
Rational Numbers
A number is called rational if it can be expressed in the form p/q where p and q are integers ( q> 0).
Example : ½ , 4/3 ,5/7 ,1 etc.
Properties of Rational Numbers
Closure Property
The Closure Property states that when you perform an operation (such as addition, multiplication, subtraction etc) on any two numbers in a certain type of number, the result of the computation is another number in the same type of number
Here is the summary for the closure property on various mathematical operations on various numbers
Counting Numbers/Natural Numbers
The numbers 1,2,3,… are called natural numbers or counting numbers.
Whole Numbers
Let us add one more number i.e. ,zero(0), to the collection of natural numbers.
Now the numbers are 0,1,2,… These numbers are called whole numbers
We can say that whole nos. consist of zero and the natural numbers. Therefore, except zero all the whole nos. are natural numbers.
So all natural Number are whole number but all whole numbers are not natural numbers
Integers
Z={…-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6…..}
Rational Numbers
A number is called rational if it can be expressed in the form p/q where p and q are integers ( q> 0).
Example : ½ , 4/3 ,5/7 ,1 etc.
Properties of Rational Numbers
Closure Property
The Closure Property states that when you perform an operation (such as addition, multiplication, subtraction etc) on any two numbers in a certain type of number, the result of the computation is another number in the same type of number
Here is the summary for the closure property on various mathematical operations on various numbers
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