Natural Numbers – Numbers that start from 1 and continue to infinity are called natural numbers.
1, 2, 3, 4 _ _ _ _
Whole Numbers – Numbers that start from 0 and continue to infinity are called whole numbers. This set also includes natural numbers.
0, 1, 2, 3, 4 _ _ _ _
Integers – Numbers that include positive numbers, negative numbers, and 0 (zero) are called integers. This set also includes whole numbers and natural numbers.
-3, -2, -1, 0, 1, 2, 3 _ _ _ _
Rational Numbers – Numbers that can be expressed in the form p/q, where q ≠ 0.
Real Numbers – Rational and irrational numbers together form real numbers.
Prime Factorization Theorem –
HCF × LCM = Product of the two numbers
Exercise – 1.1
- Express the following numbers as a product of prime factors:
2. Find the HCF and LCM of the following pairs of integers and verify that the product of the two numbers = HCF × LCM.
1. 26 और 91
3. Find the HCF and LCM of the following integers using the prime factorization method.
1. 12, 15 और 21
4. Given that HCF (306, 657) = 9, find the LCM (306, 657).
5. There is a circular path around a sports field. Sonia takes 18 minutes to complete one round of this field, while Ravi takes 12 minutes to complete one round of the same field. Suppose they both start at the same point and at the same time and move in the same direction. After how much time will they meet again at the starting point?
