Solutions of Real Numbers (rational And Irrational Numbers) from Mathematics Class - 9
Chhattisgarh Board Mathematics Solutions from Chapter 2 - Real Numbers (Rational and Irrational Numbers)
The detailed solutions to all the exercises of Real Numbers (rational And Irrational Numbers) from Mathematics Class - 9 for 9th Chhattisgarh Board are provided here. The topics covered are such as Real Numbers, Commutative Property and, Associative Property. Students can practice frequently asked questions from this chapter.
Practice Other Topics from Real Numbers (Rational and Irrational Numbers)
In this topic, we will learn to perform arithmetic operations on integers using a number line. A set of integers include zero, positive numbers, and negative numbers excluding fractions.
This topic explains the representation of rational numbers on a number line and operations using a number line. A rational number is expressed as the ratio of two integers, where the denominator is never equal to zero.
In this topic, the students will learn the method of finding rational numbers between two given rational numbers. It elaborates on the technique in a step-by-step manner. There are several examples given for a better understanding.
This topic explains the commutative property. It explains how to apply this property on various numbers such as whole numbers, integers, and rational numbers for operations like addition, subtraction, multiplication, and division.
In this topic, we will learn about the associative property. It discusses rational numbers and explains how to apply the property of associativity to them. It does so for operations like addition, subtraction, multiplication, and division.
This topic elaborates on the role of one in mathematics. One is the starting point for counting anything, and one is the only number that can divide all the natural numbers. One also has many roles that are further explained.
This topic elaborates on the existence of inverse. The inverse of an element is another element in the set that gives the identity element as the result when combined with an operation. It is further explained using examples.
In this topic, the students will learn about rational number and their decimal form. We can represent rational numbers in decimal form instead of fractions. It also shows how they can easily be represented as decimals.
This topic elucidates the method of place determination of irrational numbers on a number line. When placing irrational numbers on a number line, the placement will not be exact but very close. It is further discussed in the text.
This topic elaborates on real numbers. Real numbers are numbers that include both rational and irrational numbers. A rational number is expressed in the form of fractions, where both numerator and denominator are integers.
This topic edifies the operations on real numbers. It elaborates on the four basic mathematical operations, addition, division, multiplication, and subtraction. We will learn to perform these operations on both rational and irrational numbers.
This topic summarises the method we can use to determine whether a number is rational or irrational, thus, help in identifying irrational numbers. In addition, there are examples and questions given to understand the concept better.
The topic teaches us how to rationalize the denominator by using the conjugate of the denominator method. It demonstrates the steps to find the conjugate and to change the sign between the two terms.
