## Byjus Class 8 Maths Rational Numbers Amazon,Wooden Boat Construction Techniques,Ncert Solutions Class 10th History Chapter 3 Java - Videos Download

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The positive rational numbers are represented by points on the number line to the right of O whereas the negative rational numbers are represented by points on the number line to the left of O.

Any rational number can be represented on this line. The denominator of the rational number indicates the number of equal parts into which the first unit has been divided whereas the numerator indicates as to how many of these parts are to be taken into consideration.

Rational Numbers Between Two Rational Numbers We can find infinitely many rational numbers between any two given rational numbers. We can take the help of the idea of the mean for this purpose. Rational numbers can be represented on a number line. Properties on Rational Numbers i Closure Property Rational numbers are closed under : Addition which is a rational number.

Rational numbers are closed under addition subtraction and multiplication. Thus, 0, 1, 2, 3, 4, are whole numbers. Properties of Rational Numbers The list of properties of rational numbers can be given as follows: Byjus Class 10 Maths Chapter 1 Test Closure Commutativity Associativity The role Byjus Class 8 Maths Rational Numbers Ns of zero 0 The role of 1 Negative of a number Reciprocal Distributivity of multiplication over addition for rational numbers. We mark a point O on it and name it 0. Mark a point to the right of 0. Name it 1. Simply rational numbers can be defined as fractions that can be represented on the number line.

Let us look at the concepts that govern rational numbers. The properties we are going to discuss are basic mathematical properties that are applicable on integers as well. Let us discuss the properties one by one:. Closure Property. The result of addition, multiplication and subtraction between any two rational numbers is also a rational number. This property is true for all mathematical properties except division because division by 0 is not defined.

So divisions other than 0 are included in the closure property. Commutative property. The commutative property is true only for addition and multiplication of rational numbers.

For any two rational numbers:. Associative Property. Rational numbers follow the property of association only for addition and multiplication. Let a, b and c be three rational numbers:. Distributive Property. Rational numbers follow distributive property for addition and multiplication only. For any three rational numbers p,q and r. Identity Property. The additive identity for any rational number is 0 and the multiplicative identity is 1. Inverse Property. Rational numbers can also be represented on the number line just like other whole numbers or integers.

Negative rational numbers are present to the left and the positive rational numbers are located on the right side of the number line. Representation of a rational number can be categorised into:. Proper Fraction: When the value of the numerator is less than the value of denominator, the fraction is called proper fraction and the value is less than one.

Improper Fraction: In case of the improper fraction, the value of the numerator is greater than the value of the denominator.

First, we convert the given fraction into a mixed fraction to get a better picture of where the number exists on the number line. To represent the rational number we divide the distance between the two whole numbers into the number of subunits denoted by the denominator.

The number can also be represented using the process of successive magnification where we convert the rational number into decimal expansion and represent the decimal places successively. Download free printable Properties of Rational Number Worksheets to practice.

With thousands of questions available, you can generate as many Properties of Rational Number Worksheets as you want. Our worksheets are designed to help students explore various topics, practice skills and enrich their subject knowledge, to improve their academic performance.

Designed by Experts who have extensive experience and expertise in teaching a subject, these worksheets will improve your child's problem-solving skills and subject knowledge in a fun and interactive manner. Check out our free customized worksheets across school boards, grades, subjects and levels of subject knowledge. You can download, print and share these worksheets with anyone, anywhere, anytime!

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