Every rational number is a real number. Justify your answer

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Solution

Explanation for the statement:
As we know, real numbers are the collection all the numbers such as natural and whole numbers, rational and irrational numbers. Since, we can represent the rational numbers on the number line, therefore they are also real numbers.
Rational numbers can be written in the form of $\frac{p}{q},$ where q≠0. The examples are $\frac{1}{2}, \frac{1}{4},$ … etc.
Hence, we can say rational number is a real number.

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Similar questions

Question 1 (i)
State whether the following statement is true or false. Justify your answer.

Every irrational number is a real number.

Question 1 (iii)
State whether the following statement is true or false. Justify your answer.

Every real number is an irrational number.

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m

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

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