## RS Aggarwal Solutions Class 7 Chapter Rational Numbers (Ex 4G) Exercise 4.7 - Free PDF download

## FAQs on RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4G) Exercise 4.7 - Free PDF

**1. What is the multiplicative identity of a Rational Number?**

The multiplicative identity of any Rational Number is '1' as the product of a number and its multiplicative inverse is also 1. When 1 is multiplied to any number, the product is always the number itself. Henceforth, 1 is the multiplicative identity for all Rational Numbers, Whole Numbers, and Integers. If there’s a non-zero rational number a/b, there will exist a rational number b/a, such that a/b x b/a = 1, where b/a is the reciprocal or multiplicative inverse of a/b.

**2. What is the additive identity of Rational Numbers?**

Additive identity is the number, which is obtained when added to any number, gives the sum as the number itself. Adding 0 to any number always gives the sum as the number itself. Thus, the additive identity is ‘0’. The additive identity of Rational Numbers is also always 0. The formula of the additive identity of Rational Numbers is written in the form of (x/y + 0 = x/y). This is if 0 is added to any number, the number is itself.

**3. What is Least Common Multiple (LCM)?**

In the Chapter, Rational Numbers, students are often required to find the LCM or Least Common Multiple to solve questions. The LCM (Least Common Multiple) of two numbers is the lowest possible number that is divisible by both the given numbers. There are many ways to find the LCM of two numbers. The easiest way to find LCM of two or more Rational Numbers is to use Prime Factorization of each of the given numbers. Then the multiplication of the highest powers of the common prime factors will be the LCM of the given numbers.

**4. When are Rational Numbers in their lowest form?**

A pair of Rational Numbers are in their lowest form(standard form) after dividing both the numerator and denominator by their Highest Common Factor (HCF) (ignore the negative sign if it's there). This is how any group of Rational Numbers can be brought to their lowest or standard form. To study more about Rational Numbers and their properties, the student can check out the Free resources made available by Vedantu's team at Vedantu's official website. Vedantu's Youtube Channel is also full of valuable video lectures.

**5. How can I tell if the number is Rational or not?**

Rational Numbers are those numbers in the number system that can be expressed in the form of fraction p/q ( where p/q are always integers). If the number cannot be represented in p/q form or fractional form, the number is an irrational number. By checking the above condition, students can tell if the number is rational or not. To study more about Rational Numbers, students can visit Vedantu’s official website and check out the free resources totally FREE.