State whether the following statements are true or false. Justify your answers.
(1) Every irrational number is a real number.
(1) Every point on the number line is of the form m , where m is a natural num
(1) Every real number is an irrational number.
!JUSTIFY !
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Answers
Answer:
1. True
Justification: The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.
2. False
Justification: every irrational number is a real number. Reason: A number line may have negative or positive number. Since, no negative can be the square root of a natural number, thus every point on the number line cannot be in the form of √m, where m is a natural number.
3. FALSE
Justification: REAL NUMBERS ARE THE COLLECTION OF WHOLE NUMBERS, NATURAL NUMBERS, INTEGERS, RATIONAL NUMBERS AND IRRATIONAL NUMBERS.
BUT THIS DOESN'T MEAN THAT ALL REAL NUMBERS ARE IRRATIONAL NUMBERS.
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