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NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.2)

FAQs on NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.2)

1. What are the different types of numbers?
Ans. There are several types of numbers, including natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Natural numbers are positive numbers starting from 1. Whole numbers include natural numbers along with zero. Integers include both positive and negative whole numbers. Rational numbers can be expressed as fractions, and irrational numbers cannot be expressed as fractions and have an infinite number of non-repeating decimals.
2. How can I determine if a number is prime or composite?
Ans. To determine if a number is prime or composite, you need to check if it is divisible by any number other than 1 and itself. If a number has any divisors other than 1 and itself, it is composite. On the other hand, if a number has no divisors other than 1 and itself, it is prime. For example, if we want to check if 17 is prime, we can check if it is divisible by any number from 2 to 16. Since 17 is not divisible by any of these numbers, it is prime.
3. How can I find the square root of a number?
Ans. To find the square root of a number, you can use the long division method or the prime factorization method. In the long division method, you divide the number into groups of two digits (starting from the right) and find the largest perfect square less than or equal to the first group. Subtract the square from the first group and bring down the next group. Then, double the quotient obtained so far and write a blank in the divisor's position. Find the largest digit to fill in the blank that, when multiplied by the new divisor, does not exceed the dividend. Repeat this process until you have the desired accuracy.
4. How can I determine the factors of a number?
Ans. To determine the factors of a number, you need to check all the numbers that divide the given number without leaving a remainder. Start by dividing the number by 1 and then check if it divides evenly. If it does, it is a factor. Continue dividing by 2, 3, 4, and so on until you reach the number itself. The factors of a number are all the numbers that divide it evenly, including 1 and the number itself.
5. What is the significance of prime numbers in cryptography?
Ans. Prime numbers play a crucial role in modern cryptography. Cryptographic systems often rely on the difficulty of factoring large composite numbers into their prime factors. Prime numbers are used to generate key pairs, which are then used for encryption and decryption. The security of these systems is based on the assumption that factoring large numbers into their prime factors is a computationally difficult task. The larger the prime numbers used, the more secure the cryptographic system becomes.
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