RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4C) Exercise 4.3 - Free PDF
FAQs on RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4C) Exercise 4.3
1. What is a rational number according to RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4C) Exercise 4?
A rational number is a number that can be expressed as the quotient or ratio of two integers, and that is not an irrational number. The set of all rational numbers includes the natural numbers, as well as all the real numbers that are not irrational. Every rational number can be written as a fraction with an integer numerator and another integer denominator or as a decimal that either terminates or repeats endlessly. The set of rational numbers is closed under addition, subtraction, multiplication, and division. That means that the operations of addition, subtraction, multiplication, and division can be performed on any two rational numbers and will always produce a rational number as a result. The set of rational numbers is also commutative and associative.
2. What are examples of rational numbers mentioned in RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4C) Exercise 4?
Every rational number can be expressed as a fraction with an integer numerator and another integer denominator or as a decimal that either terminates or repeats endlessly. Some examples include 1/2, -5/28, -528/943, and π. A rational number can also be represented in radicals form as follows: √2, √3, √5, etc., are all rational numbers. Notice that when we take the square root of a perfect square, we always get a rational number. For example, √9 = 3, because 3 squares is 9. And √25 = 5 because five squared is 25. Vedantu provides the latest RS Aggarwal Solutions to the students so that they can score good marks in their examinations.
3. Can a rational number be irrational?
No, a rational number cannot be irrational. A rational number is a number that can be expressed as the quotient or ratio of two integers, and that is not an irrational number. The set of all rational numbers includes the natural numbers, as well as all the real numbers that are not irrational. Every rational number can be expressed as a fraction with an integer numerator and another integer denominator or as a decimal that either terminates or repeats endlessly and can never be an irrational number.
4. What is a terminating decimal according to RS Aggarwal Solutions Class 7 Chapter-4 Rational Numbers (Ex 4C) Exercise 4?
A terminating decimal is a decimal that eventually reaches either 0 or 1, after which it stops having digits and will not change anymore. For example, 123/100 = 1/99 … 3; another way to write this fraction would be 0.0123, and the decimal in this fraction goes on forever but eventually reaches 0. The decimal 2/3 = 0.6666…; the decimal in this fraction goes on forever but eventually reaches 1. terminating decimals are very helpful when working with fractions because we can convert any fraction to a terminating decimal by dividing the numerator by the denominator. For example, if we want to convert the fraction 5/8 to a decimal, we would divide 5 by 8 to get 0.625.