which of the following in a negative rational number
Answers
Negative rational numbers can be recognized by (–) sign before them.
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Answer:
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