# Rational Numbers

## Rationalize the denominator – set 04

Given below are questions related to rationalizing the denominator. All the questions are provided with detailed solution. Question 01Simplify the below expression. SolutionConjugate of is Multiplying numerator & denominator with conjugate. Hence, the above expression is the solution. Question 02Rationalize the below expression; SolutionLet’s simplify each fraction individually. Now rationalize the middle fraction Now rationalizing …

## Rationalize the denominator – set 03

Given below are collection of question related to rationalization of denominator. All the questions are provided with detailed solution. The questions are to the standard of grade 9. Question 01Rationalize the below expression; SolutionConjugate of is Multiply numerator & denominator by conjugate. Hence, the above expression is the solution. Question 02Find the value of a …

## Rationalize the denominator – Solved problems

Given below is the collection of questions in which you have to rationalize the denominator of given fractions. All the questions are provided with detailed solution. Question 01Rationalize the below expression. SolutionThe denominator is a binomial. To rationalize the expression, multiply the numerator & denominator by denominator’s conjugate. Conjugate of is . Multiplying numerator & …

## Problems on rationalizing the denominator

Given below are set of questions related to ” rationalize the denominator “. All the questions are fully solved with explanation. The questions are to the standard of grade 9. Question 01Simplify the below expression. SolutionNote that the denominator of fraction is monomial. To simplify the fraction, multiply numerator & denominator by Hence, the above …

## Simplify expressions with square roots

Given below are exponent questions for grade 9 math students.All the questions are provided with detailed solution. To solve the questions, you should have basic knowledge of exponent and algebra rules. Question 01Simplify the below expression. SolutionUsing the following formula; Hence, 4 is the right answer. Question 02Solve the below expression. SolutionUsing the following formula; …

## Representing irrational number on number line

In this chapter we will learn to represent irrational number on number line with solved examples. We know that in number line, number are expressed in the form of integers and decimals. So if we are provided with irrational number in the form of square root, it gets difficult to represent in the number line. …

## Finding irrational numbers between two numbers

In this post we will discuss questions related to finding irrational numbers between two given rational numbers. Before solving the questions, understand two points about irrational numbers; (a) the decimal value are non terminating and non repeating.(b) Irrational numbers cannot be expressed in the form of fractions. Using the above two points, we will solve …

## Questions on identifying rational & irrational numbers

In this post we will solve questions related to identification of rational and irrational numbers. All the questions are Grade 9 standard. Question 01Identify if the given numbers are rational or irrational Solution The number is a perfect square, hence it’s a rational number. It’s an irrational number since 5 is not a perfect square. …

## Questions on rational number in fraction form

In this chapter we will discuss questions related to rational numbers in fraction form. Question 01Convert the following rational number into fractions form. (a) 0.46(b) 0.235(c) 7.9(d) 3.0056(e) 8.92 Solution Question 02Convert the below repeating decimals into fraction rational numbers. Solution Multiply the above equation by 10. Subtract both the equations. Solving the equation; 9x …

## Questions on changing rational number into decimals

In this chapter we will discuss questions related to changing the given rational numbers into decimals. Question 01Convert the following rational numbers into decimals. (i) 36/100(ii) 121/200(iii) 93/500(iv) 17/4 Solution(i) 36 / 100 The above rational number is expressed in the form of division. Divide numerator by denominator to get the decimal value. Hence, 0.36 …

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