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Rational Numbers

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Question

Fill in the blanks :
If the integer $p$ and $q$ have no common divisor other than $1$ and $q$ is positive, then the rational number $\frac{p}{q}$ is said to be in........... .

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Solution

Answer : "Standard form of a rational number"
If the integer $p$ and $q$ have no common divisor other than $1$ and $q$ is positive, then the rational number $\frac{p}{q}$ is said to be in standard form.

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Similar questions

In each of the following, fill in the blanks so as to make the statement true:

(i) A number which can be expressed in the form $p q$ , where $p$ and $q$ are integers and $q$ is not equal to zero, is called a .....

(ii) If the integers $p$ and $q$ have no common divisor other than 1 and $q$ is positive, then the rational number $p q$ is said to be in the ....

(iii) Two rational numbers are said to be equal, if they have the same .... form.

(vi) $\frac{a}{b} = \frac{a \div m}{b \div}$

(v) If $p$ and $q$ are positive integers, then $p q$ is a ..... rational number and $p - q$ is a ..... rational number.

(vi) The standard form of −1 is ...

(vii) If $p q$ is a rational number, then $q$ cannot be ....

Question 44

In the following question, fill in the blanks with correct symbol >, < or =.

If p and q are positive integers, then $\frac{p}{q}$ is a ___ rational number and $\frac{p}{- q}$ is a ___ rational number.

\frac{p}{q}

\frac{p}{q}

\frac{p}{q}

(q \neq 0)

x = 1.242424....

x = \frac{p}{q}

p

q

p + q

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