Explain number system( natural, whole, even, odd, prime, composite, rational, and integers)
with example.
Answers
Answer:
Whole numbers:
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.
Natural numbers:
The natural numbers include the positive integers (also known as non-negative integers) and a few examples include 1, 2, 3, 4, 5, 6, .. ∞. In other words, natural numbers are a set of all the whole numbers excluding 0.
Prime numbers:
In math, prime numbers are whole numbers greater than 1. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7 and 11 are the first few prime numbers.
Composite numbers:
Composite Number. A whole number that can be made by multiplying other whole numbers. Example: 6 can be made by 2 × 3 so is a composite number. But 7 can not be made by multiplying other whole numbers (1×7 would work, but we said to use other whole numbers) so is not a composite number, it is a prime number.
Even numbers:
Any number that can be exactly divided by 2 is called as an even number. Even numbers always end up with the last digit as 0, 2, 4, 6 or 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16. These are even numbers as these numbers can easily be divided by 2.
Odd numbers:
Odd Number. Any integer (not a fraction) that cannot be divided exactly by 2. Example: −3, 1, 7 and 35 are all odd numbers.
Rational numbers:
Any rational number is trivially also an algebraic number. Examples of rational numbers include- 0, 1, 1/2, 22/7, 12345/43, and so on.
Integers:
An integer is a number with no decimal or fractional part from the set of negative and positive numbers, including zero. Examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043.
Answer:
every counting number is a natural number
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Step-by-step explanation:
12345 all these numbers are natural number
even number= 2, 4, 6, 8, etc
odd numbers = 3, 5, 7, 9 etc