Question

Which of the following is negative rational number? *
(-4)/5
(-3)/4
3/(-5)
All of these
Please answer right​

Answer 1

Step-by-step explanation:

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Negative Rational Number

We will learn about the negative rational number.

A rational number is said to be negative if its numerator and denominator are of opposite signs such that, one of them is positive integer and another one is a negative integer.

In other words, a rational number is negative, if its numerator and denominator are of the opposite signs.

Each of the rational numbers -1/6, 2/-7, -30/11, 13/-19, -15/23 are negative rationals, but -11/-18, 2/5, -3/-5, 1/3 are not negative rationals.

1. Is every negative integer a negative rational number?

We know that -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so on …….

In other words, any negative integer n can be written as n = n/1, here n is negative and 1 is positive.

Hence, every negative integer is a negative (-ve) rational number.

Note: The rational number 0 is neither positive nor negative.

2. Determine whether the following rational numbers are negatives or not:

(i) 3/(-8)

3/(-8) is a negative rational. Since both the numerator and denominator are of the opposite sign.

(ii) (-1)/(-5)

(-1)/(-5) is not a negative rational. Since both the numerator and denominator are of the same sign.

(iii) 11/29

11/29 is not a negative rational. Since both the numerator and denominator are of the same sign.

(iv) 11/(-15)

11/(-15) is a negative rational. Since both the numerator and denominator are of the opposite sign.

(v) (-71)/(-9)

(-71)/(-9) is not a negative rational. Since both the numerator and denominator are of the same sign.

(vi) (-33)/7

(-33)/7 is a negative rational. Since both the numerator and denominator are of the opposite sign.

(vii) 21/22

21/22 is not a negative rational. Since both the numerator and denominator are of the same sign.

(viii) (-14)/39

(-14)/39 is a negative rational. Since both the numerator and denominator are of the opposite sign.

So, from the above explanation we conclude that a rational number is negative, if its numerator and denominator are of the opposite sign.

Answer 2

All of these are negative rational number

if any rational who have negative sign in both numerator and denominator.

then it is positive

if 1 negative sign may be in numerator or denominator it is negative..