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.
● Rational Numbers
Introduction of Rational Numbers
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
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 Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
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
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
Rational Numbers between Two Rational Numbers
8th Grade Math Practice
From Negative Rational Number to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Area | Test on Area | Home work on Area | Quiz on Area
Apr 28, 24 05:19 PM
In worksheet on area we will solve different types of question in area. 1. Find the area of a rectangle of length 24 cm and breadth 13 cm. 2. Find the area of a square of side 40 cm. 3. Find the area… -
Preschool Math Activities | Colorful Preschool Worksheets | Lesson
Apr 28, 24 04:19 PM
Preschool math activities are designed to help the preschoolers to recognize the numbers and the beginning of counting. We believe that young children learn through play and from engaging -
Area of a Square | Area of a Square = (Side × Side) Square Units
Apr 28, 24 01:28 PM
In area of a square we will learn how to find the area by counting squares. To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count the n… -
Area of a Rectangle | Area of Rectangle = Length × Breadth | Examples
Apr 28, 24 12:56 PM
Area of a rectangle is discussed here. We know, that a rectangle has length and breadth. Let us look at the rectangle given below. Each rectangle is made of squares. The side of each square is 1 cm lo… -
Area | Units to find Area | Conversion Table of Area | Two Dimensional
Apr 28, 24 10:14 AM
The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed pla…
● Rational Numbers - Worksheets
Worksheet on Equivalent Rational Numbers
Worksheet on Lowest form of a Rational Number
Worksheet on Standard form of a Rational Number
Worksheet on Equality of Rational Numbers
Worksheet on Comparison of Rational Numbers
Worksheet on Representation of Rational Number on a Number Line
Worksheet on Adding Rational Numbers
Worksheet on Properties of Addition of Rational Numbers
Worksheet on Subtracting Rational Numbers
Worksheet on Addition and
Subtraction of Rational Number
Worksheet on Rational Expressions Involving Sum and Difference
Worksheet on Multiplication of Rational Number
Worksheet on Properties of Multiplication of Rational Numbers
Worksheet on Division of Rational Numbers
Worksheet on Properties of Division of Rational Numbers
Worksheet on Finding Rational Numbers between Two Rational Numbers
Worksheet on Word Problems on Rational Numbers
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.