The Number System is a system for representing numbers on the Number Line using a collection of symbols and rules. These symbols, which range from 0 to 9, are referred to as digits. The Number System is used to accomplish mathematical computations ranging from complex scientific calculations to simple counting of gifts or the number of books left in the box. Numerous types of number systems exist, each with a different base value for its digits.
Natural Numbers
Natural numbers, which include all positive integers from 1 to infinity, are a part of the number system. Natural numbers, which do not include zero or negative numbers, are also known as counting numbers. Counting numbers like 1, 2, 3, 4, 5, 6…, etc. They are only positive integers, not zero, fractions, decimals, or negative numbers, and they are a part of real numbers. All integers greater than 0 are natural numbers. Natural Numbers Examples are 9, 21, 45, 987, 100112, and so forth are only a few.
Fact about Natural Numbers
- They are whole numbers (called integers), and never less than zero (i.e. positive numbers).
- The next possible natural number can be found by adding 1 to the current natural number.
- The natural numbers are the ordinary numbers, 1, 2, 3, etc., with which we count.
- The number zero is sometimes considered to be a natural number. Not always because no one counts starting with zero, 0, 1, 2, 3.
- GCD of all other natural numbers with a prime is always one.
- The natural numbers can be defined formally by relating them to sets. Then, zero is the number of elements in the empty set; 1 is the number of elements in the set containing one natural number; and so on.
Natural Numbers from 1 to 100 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99 and 100.
What is another name for natural numbers?
Answer:
Natural Numbers are also called positive integers. They are the numbers from 1, 2, 3, 4, 5, …. they are referred to as natural numbers because they may be seen in nature and are hence naturally occurring. Also, Natural numbers are sometimes referred to as counting numbers in common, especially in primary school education, to intuitively exclude negative integers and zero. They are known as counting numbers because counting starts from 1 and so are the natural numbers. For instance, “There are 30 students in the class.” this statement has the number 30 used as a counting number.
Hence, another name for natural numbers is counting numbers.
Sample Questions
Question 1: Is the number 0 a counting number?
Answer:
No, because natural numbers are counting numbers, 0 is not a natural number. It is counted from 1 instead of 0 when counting any number of things.
Question 2: Find the natural numbers among the following numbers: -3, 0, 5, 1/6, 34.
Answer:
Among the given numbers, the natural numbers are 5 and 34.
Question 3: Is 63 a Natural Number?
Answer:
Yes, 63 is a natural number as it is a positive number that is used for counting.
Question 4: What Are the First Ten Natural Numbers?
Answer:
The first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10.