Are Negative Numbers Rational Or Irrational ? Is A Negative Number An Irrational 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.
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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 negativesor not:
(i) 3/(-8)
3/(-8) is a negativerational. Since both the numerator and denominator are of the opposite sign.
(ii) (-1)/(-5)
(-1)/(-5) is not a negativerational. Since both the numerator and denominator are of the same sign.
(iii) 11/29
11/29 is not a negativerational. Since both the numerator and denominator are of the same sign.
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(iv) 11/(-15)
11/(-15) is a negativerational. Since both the numerator and denominator are of the opposite sign.
(v) (-71)/(-9)
(-71)/(-9) is not a negativerational. Since both the numerator and denominator are of the same sign.
(vi) (-33)/7
(-33)/7 is a negativerational. Since both the numerator and denominator are of the opposite sign.
(vii) 21/22
21/22 is not a negativerational. Since both the numerator and denominator are of the same sign.
(viii) (-14)/39
(-14)/39 is a negativerational. Since both the numerator and denominator are of the opposite sign.
So, from the aboveexplanation we conclude that a rational number is negative, if its numeratorand denominator are of the opposite sign.
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● Rational Numbers
Introduction of Rational Numbers
What is Rational Numbers?
Is Every Rational Number a Natural Number?
Is Zero a Rational Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Positive Rational Number
Negative Rational Number
Equivalent Rational Numbers
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numberson the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Addition of Rational Numbers
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Product of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Division of Rational Numbers
Rational Expressions Involving Division
Properties of Division of Rational Numbers
Rational Numbers between Two Rational Numbers
To Find Rational Numbers
8th Grade Math Practice From Negative Rational Number to HOME PAGE
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