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NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Hey there! We receieved your request. It includes all natural, whole numbers, fractions and integers. By multiplying or dividing the numerator and denominator of a rational number by the same integer, we can obtain another rational number equivalent to the given rational number.

Positive Rational Numbers are the numbers whose both the numerator and denominator are positive. Negative Rational Numbers are the numbers whose one of the numerator or denominator is negative. Representation of whole numbers, natural numbers and integers on a number line is done as follows.

Rational Numbers can also be represented on a number line like integers i. A rational number is in the standard form if its byjus class 7 maths rational numbers is a positive integer and there is no common factor between the numerator and denominator other than 1.

If any given rational number is not in the standard form then we can reduce it to its standard form or the lowest form by dividing its numerator and denominator by their HCF ignoring its negative sign. To compare the two positive rational numbers we need to make their denominator same, then we can easily compare. To compare two negative rational numberswe compare them ignoring their negative signs and then reverse the order.

If we have to compare one negative and one positive rational number then it is byjus class 7 maths rational numbers that the positive rational number will always be greater as byjus class 7 maths rational numbers positive rational number is on the right to 0 and the negative rational numbers are on the left of 0.

To find the rational numbers between two rational numbers, we have to make their denominator same then we can find the rational numbers. Addition of two rational numbers with the same denominator. If we have to add two rational numbers whose denominators are same then we simply add byjus class 7 maths rational numbers numerators and the denominator remains the. Addition of two Rational Numbers with different denominator.

If we have to add two rational numbers with different denominators then we have to take the LCM of denominators and find their equivalent rational numbers with the LCM as the denominator, and then add. To add the two rational numbers, first, we need to take the LCM of denominators the find the equivalent rational numbers.

If we have to subtract two rational numbers then we have to add the additive inverse of the rational number that is byjus class 7 maths rational numbers subtracted to the other rational number. In the first method, we will simply subtract the numerator and the denominator remains the. In the second method, we will add the additive inverse of the second number to the first number.

Multiplication of a Rational Number with a Positive Integer. To multiply a rational number with a positive integer we simply multiply the integer with the numerator and the denominator remains the. Multiply of a Rational Number with a Negative Integer. To multiply a rational number with a negative integer we simply multiply the integer with the numerator and the denominator remains the same and the resultant rational number will be a negative rational number.

Multiply of a Rational Number with another Rational Number. To multiply a rational number with another rational number we have to multiply the numerator of two rational numbers and multiply the denominator of the two rational numbers.

If we multiply the reciprocal of the rational number byjus class 7 maths rational numbers that rational number then the product will always be 1. Division byjus class 7 maths rational numbers a Rational Number with another Rational Number. To divide a rational number with another rational number we have to multiply the reciprocal of the rational number with the other rational number. DearPreparing for entrance exams?

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Whole Numbers All natural numbers including 0 are whole numbers. Integers All negative and positive numbers including 0 are called Integers. Equivalent Rational Numbers By multiplying or dividing the numerator and denominator of a rational number by the same integer, we can obtain another rational number equivalent to the given rational number. Numbers are said to be equivalent if they are proportionate to each. Positive and Negative Rational Numbers 1.

Remark: The number 0 is neither a positive nor a negative rational number. Rational Numbers on the Number Line Representation of whole numbers, natural numbers and integers on a number line is done as follows Rational Numbers can also be represented on a number line like integers i.

Representation of rational numbers can be done on a number line as follows Rational Numbers in Standard Form A rational number is in the standard form if its denominator is a positive integer and there is no common factor between the numerator and denominator other than 1.

Solution To make their denominator same, we need to take Byjus Class 10 Maths Real Numbers To the LCM of the denominator of both the numbers. LCM of 5 and 8 is Solution To compare, we need to compare them as normal numbers. LCM of 5 and 7 is Operations on Rational Numbers 1. Addition a.

Addition of two rational numbers with the same denominator i. We can add it using a number line. Solution As the denominator is the same, byjus class 7 maths rational numbers can simply add their numerator.

Addition of two Rational Numbers with different denominator If we have to add two rational numbers with different denominators then we have to take the LCM of denominators and find their equivalent rational numbers with the LCM as the denominator, and Byjus Class 8 Maths Rational Numbers Research then add.

Solution To add the two rational numbers, first, we need to take the LCM of denominators the find the equivalent rational numbers. Additive Inverse Like integers, the additive inverse of rational numbers is also the. Subtraction If we have to subtract two rational numbers then we have to add the additive inverse of the rational number that is being subtracted to the other rational number.

Solution i. Multiplication a. Example b. Multiply of a Rational Number with a Negative Integer To multiply a rational number with a negative integer we simply multiply the integer with the numerator and the denominator remains the same and the resultant rational number will be a negative rational number. Example c. Multiply of a Rational Number with another Rational Number To multiply a rational byjus class 7 maths rational numbers with another rational number we have to multiply the numerator of two rational numbers and multiply the denominator of the two rational numbers.

Solution 4. Division a. Reciprocal Reciprocal is the multiplier of the given rational number which byjus class 7 maths rational numbers the product of 1. Division of a Rational Number with another Rational Number To divide a rational number with another rational number we have to multiply the reciprocal Byjus Class 8 Maths Rational Numbers Quiz of the rational number with the other rational number.

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This section explains how two Rational Numbers are multiplied. A rational number in the standard form can also have a negative number but only in its numerator. Please Wait you are being redirected Your mobile number is verified. The division is the inverse of multiplication and the same concept applies in dividing Rational Numbers as well. All the exercises are solved by the subject matter experts in a very meticulous manner.

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