The numbers are used for counting and measuring. In mathematics, number is a mathematical object used to count and measure. There are so many numbers like negative numbers, zero, positive numbers, real numbers and they are said to be the main source of mathematics. All numbers are classified into sets and every number represented a unique representation. Mathematical operations are only possible if one have the knowledge of numbers..
The general format of the counting number is {1, 2, 3, 4, 5…}. The
counting number is known as the positive integer or non negative
integer. The counting number should not use the zero, negative number,
fraction number and decimal numbers. The examples of the negative
numbers are -86, -97 and -56 etc.
Operations for counting numbers
The counting numbers are performing the many operations. Those operations are
- Add the counting numbers
- Subtract the counting numbers
- Multiple the counting numbers
- Divide the counting numbers
Add the counting number operator is +, subtracting the counting number operator is -, the multiple the counting number operator is * and divide the counting number operator is /.
A number is a mathematical object used in counting
and measuring. A notational symbol which represents a number is called a
numeral, but in common usage the
word number is used for both the abstract object and the symbol, as well
as for the word for the number. In addition to their use in counting
and measuring, numerals are often used for labels.
Below you could see some examples
Let us learn about number chart. Here number
chart is one of the most important manipulative devices, that is
available for teaching mathematics. We can certainly count a numbers
from a number chart. The number chart is used in mathematics for
teaching a number patterns, number relationships, operations and problem
solving.
Below you could see the number chart 1-100
The numbers will not be over within 3 digits, 4 digits, or......N digit numbers. But we cannot keep counting them till N digit numbers hence, they go on forever till ∞ (infinity).
A number line is a line on which real numbers are
placed according to their value. For example, the number 3.5 or 3 12
corresponds with the point on a number line that is halfway between the
numbers 3 and 4. Each point on a number line corresponds to a real
number, and each real number has a unique point on the Number line that
corresponds only to that number. Number lines are valuable tools which
are easily used to illustrate the mathematical concepts such as
subtraction, addition and positive and negative numbers. In number line, right side of zero are positive numbers and left side of zero are negative numbers.
The number line is usually represented as a horizontal line. There are several types of numbers, which can be given below :-
1. Natural Numbers
In learning algebra numbers, it is necessary to learn about Natural numbers. That can be represented by all Whole numbers except ' 0 '. And all these numbers are positive numbers only.
Example: (1, 2, 3, 4, 5, . . . )
2. Whole Numbers
In algebra numbers, the whole numbers can be represented by the set of numbers which is starting from 0 to infinity.
Example: (0, 1, 2, 3, . . . )
3. Integers
The integers are the set of numbers which contains all negative, positive numbers and also zero. There is no decimal numbers.
Example: (. . . . . . . . -4, -3, -2, -1, 0, 1, 2, 3, 4, . . . . . . . . . . . )
4. Rational Numbers and Irrational Numbers
The rational numbers and are the set of all numbers which can be written in fraction form. As a fractionab , where a and b are integers(b≠ 0). Irrational is used only when a number which cannot be written in the form of simple fraction.
Example:3√ Irrational
4√ = 2 Rational
5√ , 6√ , 7√ , 8√ Irrational
94−−√ Rational
2√ Irrational
5. Real Numbers
The real numbers are the set all numbers which contains both rational numbers and irrational numbers.
6. Odd Numbers
A number which is not divisible by 2 is called an odd number.
Example: (3, 5, 7, 9, 11, . . . . . . . )
⇒ Find out the all Odd numbers from (7, 2, 5, 3, 9, 22, 49, 18, 29, 36)
Answer : Odd Numbers: 3, 5, 7, 9, 29, 49
7. Even Numbers
A number which is divisible by 2 is called an even number.
Example: (2, 4, 6, 8, 10, . . . . . . . )
⇒ Find out the all Even numbers from (7, 2, 5, 3, 9, 22, 49, 18, 29, 36)
Answer : Even Numbers: 2, 18, 22, 36
8. Prime Numbers
A number which is divisible by it self and it's not divisible by any numbers.
Example: (2, 5, 7, 11, . . . . . . . . . .)
⇒ Find out the all prime numbers from the given below. (9, 2, 4, 7, 11, 29, 17, 49, 101)
Answer : Prime numbers: 2, 7, 11, 17, 29, 101
Below you could see some examples
Solved Examples
Question 1: How many apples are there in the picture?
Solution:
There are 5 apples in the picture.
Solution:
There are 5 apples in the picture.
Question 2: In the following picture, which is more? Number of parrots or number of flowers?
Solution:
Number of parrots = 4
Number of flowers = 3
Therefore, number of parrots are more than number of flowers in the given picture.
Solution:
Number of parrots = 4
Number of flowers = 3
Therefore, number of parrots are more than number of flowers in the given picture.
Below you could see the number chart 1-100
The numbers will not be over within 3 digits, 4 digits, or......N digit numbers. But we cannot keep counting them till N digit numbers hence, they go on forever till ∞ (infinity).
The number line is usually represented as a horizontal line. There are several types of numbers, which can be given below :-
1. Natural Numbers
In learning algebra numbers, it is necessary to learn about Natural numbers. That can be represented by all Whole numbers except ' 0 '. And all these numbers are positive numbers only.
Example: (1, 2, 3, 4, 5, . . . )
In algebra numbers, the whole numbers can be represented by the set of numbers which is starting from 0 to infinity.
Example: (0, 1, 2, 3, . . . )
3. Integers
The integers are the set of numbers which contains all negative, positive numbers and also zero. There is no decimal numbers.
Example: (. . . . . . . . -4, -3, -2, -1, 0, 1, 2, 3, 4, . . . . . . . . . . . )
4. Rational Numbers and Irrational Numbers
The rational numbers and are the set of all numbers which can be written in fraction form. As a fraction
Example:
5. Real Numbers
The real numbers are the set all numbers which contains both rational numbers and irrational numbers.
6. Odd Numbers
A number which is not divisible by 2 is called an odd number.
Example: (3, 5, 7, 9, 11, . . . . . . . )
⇒ Find out the all Odd numbers from (7, 2, 5, 3, 9, 22, 49, 18, 29, 36)
Answer : Odd Numbers: 3, 5, 7, 9, 29, 49
7. Even Numbers
A number which is divisible by 2 is called an even number.
Example: (2, 4, 6, 8, 10, . . . . . . . )
⇒ Find out the all Even numbers from (7, 2, 5, 3, 9, 22, 49, 18, 29, 36)
Answer : Even Numbers: 2, 18, 22, 36
8. Prime Numbers
A number which is divisible by it self and it's not divisible by any numbers.
Example: (2, 5, 7, 11, . . . . . . . . . .)
⇒ Find out the all prime numbers from the given below. (9, 2, 4, 7, 11, 29, 17, 49, 101)
Answer : Prime numbers: 2, 7, 11, 17, 29, 101
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