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Standard VII

Mathematics

Introduction: Rational Numbers

In the follow...

Question

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.

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Solution

If p and q are positive integers, then $\frac{p}{q}$ is a positive rational number, because both numerator and denominator are positive and $\frac{p}{- q}$ is a negative rational number, because the denominator is negative.

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Question 46

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

If $\frac{p}{q}$ is a rational number, then q cannot be ___

Question 2
A number of the form $\frac{p}{q}$ is said to be a rational number, if
(a) p and q are integers.
(b) p and q are integers and q ≠ 0
(c) p and q are integers and p ≠ 0
(d) p and q are integers and p ≠ 0 also q ≠ 0.

Q. Which of the following options is correct?
(1) Every integer and fraction is a rational number.
(2) A rational number

\frac{p}{q}

is positive if p and q are either both positive or both negative.

(3) A rational number

\frac{p}{q}

is negative if one of p and q is positive and other is negative.
(4) If there are two rational numbers with same denominator, then the one with the larger numerator is larger than the other.

Q. 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........... .

Question 1
Is zero a rational number? Can you write it in the form $\frac{p}{q}$ , where p and q are integers and $q \neq 0$ ?

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Introduction: Rational Numbers

Standard VII Mathematics

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Question 44 In the following question, fill in the blanks with correct symbol >, < or =. If p and q are positive integers, then pq is a ___ rational number and p−q is a ___ rational number.

If p and q are positive integers, then pq is a positive rational number, because both numerator and denominator are positive and p−q is a negative rational number, because the denominator is negative.

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.

If p and q are positive integers, then $\frac{p}{q}$ is a positive rational number, because both numerator and denominator are positive and $\frac{p}{- q}$ is a negative rational number, because the denominator is negative.