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Standard IX

Mathematics

Rational Numbers

State which o...

Question

State which of the following statements is/are true?
I. Numerator and denominator of a positive rational number need not to have like signs.
II. Numerator and denominator of a negative rational number should have like signs.

Only I

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Only II

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Both I and II

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Neither I nor II

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Solution

The correct option is C Neither I nor II
If both the numerator and denominator has same sign, then the fraction is a positive rational number.
If the numerator and denominator have different signs, then the fraction is a negative rational number.

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Similar questions

Q. Write down the numerator and the denominator of each of the following rational numbers:

(i)

\frac{8}{19}

(ii)

\frac{5}{- 8}

(iii)

\frac{- 13}{15}

(iv)

\frac{- 8}{- 11}

(v) 9

Q. The numerator of a rational number is

4

less than its denominator. If

1

is added to the numerator and denominator both, the rational number becomes

\frac{1}{8}

. Find the number.

Q. Which of the following options hold?
(1) Every integer is a rational number and every 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 common denominator then the one with the larger numerator is larger than the other.

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.

The numerator and the denominator of a fraction are only whole numbers? In other words, aren't they supposed to be integer of decimals like rational numbers?

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State which of the following statements is/are true?I. Numerator and denominator of a positive rational number need not to have like signs.II. Numerator and denominator of a negative rational number should have like signs.

The correct option is C Neither I nor IIIf both the numerator and denominator has same sign, then the fraction is a positive rational number.If the numerator and denominator have different signs, then the fraction is a negative rational number.

State which of the following statements is/are true?
I. Numerator and denominator of a positive rational number need not to have like signs.
II. Numerator and denominator of a negative rational number should have like signs.

The correct option is C Neither I nor II
If both the numerator and denominator has same sign, then the fraction is a positive rational number.
If the numerator and denominator have different signs, then the fraction is a negative rational number.