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Q.

State whether the following statement is true or false.


Every point on the number line is of the form m  .


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a

True

b

False  

answer is B.

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Detailed Solution


Natural numbers are numbers used for counting and ordering.
N ={1,2,3,4…..} counting numbers are natural numbers.
All the real numbers that are not rational numbers are said to be irrational numbers.
It cannot be expressed as the ratio of two numbers.
It cannot be expressed in the form of fraction p q  , where p and q are integers and the denominator q is not equal to zero.
Rational numbers is a number that can be expressed as the quotient or fraction p q   of two integers, where numerator is p and q is a non-zero denominator.
As the negative numbers cannot be the square root of any natural number, hence every point on the number line is not in the form of m  , where m is a natural number.
Hence, statement is false and option 2 is correct.
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State whether the following statement is true or false. Every point on the number line is of the form m  .