Decimal
B. Complete the table below using the given data
Ratio Fraction Percent
1. The set of even numbers from 1 to 20.
2. The set of odd numbers from 1 to 20.
3. The set of composite numbers from 1 to 20.
4. The set of prime numbers from 1 to 20.
Answers
Answer:
1. 2,4,6,8,10,12,14,16,18,20
2. 1,3,5,7,9,11,13,15,17,19
3. 4,6,8,9,10,12,14,15,16,18,20
4. 2,3,5,7,11,13,17,19
Concept: Even numbers: Even numbers are those numbers which are completely divisible by 2.
Odd numbers: Odd numbers are those numbers which are not divisible by 2.
Composite numbers: Natural numbers with more than two elements are known as composite numbers. In other terms, a number is said to be a composite number if it may be divided by a number other than 1 and the number itself.
For example, 14. The prime factors of 14 are 1, 2, 7, 14.
The prime factors of 14 have 4 elements i.e., 1, 2, 7, 14. Therefore, it is a composite number.
Prime numbers: A prime number is any number bigger than one that has precisely two factors, i.e., 1 and the number itself. In other terms, a number is a prime number if it cannot be divided into equal parts. Only if a number can be factorised as the product of two numbers can we divide it into groups with an equal number of items or elements.
For example, 11. The prime factors of 11 are 1 and 11 itself. Therefore, 11 is a prime number.
Given: Numbers 1 to 20
To find: 1. The set of even numbers from 1 to 20
2. The set of odd numbers from 1 to 20
3. The set of composite numbers from 1 to 20
4. The set of prime numbers from 1 to 20
Solution:
1. The set of even numbers from 1 to 20 are
{ 2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
2. The set of odd numbers from 1 to 20 are
{1, 3, 5, 7, 9, 11, 13, 15, 17, 19}
3. The set of composite numbers from 1 to 20 are
{1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20}
4. The set of prime numbers from 1 to 20 are
(2, 3, 5, 7, 11, 13, 17, 19}
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