These are always greater than zero. Negative rational number: In this type of rational number, either numerator is negative or denominator is negative. These are always less than zero. Comparison between the numbers:. Before going to the comparison of rational numbers always remember following points:.
For comparison between two rational numbers we need to follow the below mentioned steps:. Step I: Firstly make sure that the denominators of the given rational numbers are positive.
If not so multiply both numerator and denominator of the rational number by -1 to convert the negative denominator into positive. This will result into negative numerator and positive denominator. Step II: Secondly, check for the rational numbers for like rational numbers which have same denominator and unlike rational numbers which have different denominators. Step III: If the rational numbers are like fractions, then we just need to compare the numerators and the one having higher denominator will be greater of the two.
Step IV: If the rational numbers are unlike fractions then convert them into like fractions by taking L. If one is positive and the other is negative, the positive number is greater than the negative number.
If both are positive or negative , change both the numbers into fractions with common positive denominator. Next, compare the numerators. The fraction having the greater numerator is larger. Solved examples on Comparison between Two Rational Numbers. What are the three ways in comparing and ordering rational numbers? Ans: The three ways to compare rational numbers are: 1. Cross-multiply the rational numbers and compare their products. Convert both rational numbers to rational numbers with a common denominator and compare.
Divide the two rational numbers to get decimals and compare the decimals. How do you compare two rational numbers by cross multiplication? After cross multiplying, compare the products.
What is comparing and ordering rational numbers? Ans: To compare and sort rational numbers, first convert them to the same form to be compared more easily. It is usually simpler to convert each number to a decimal. The numbers can then be ordered using a number line. To arrange rational numbers from greatest to least, or least to greatest, inequality signs must be used. How do you compare two rational numbers? Ans: We can use the steps below to compare any two rational numbers: Step 1: Obtain the rational numbers that have been provided.
Learn About Irrational Numbers. We hope this detailed article on the comparison of rational numbers helps you in your preparation. If you get stuck do let us know in the comments section below and we will get back to you at the earliest. 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. Multiplication of Rational Numbers. Product of Rational Numbers. Properties of Multiplication of Rational Numbers. 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. 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. Worksheet on Rational Numbers. 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 Adding Rational Numbers.
0コメント