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A number is an arithmetic value used to count things like date and times. Numbers are also called numerals. We use these in our day-to-day lives. We cannot easily do everything without numbers. We use the digits from 0 to 9 to form all other numbers.
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
Number names are used to represent numbers in alphabetical format. A specific word is used to refer to each number. To write a number in English words, we should know the place value of each digit in the number.
Ex: In the numbers' names form, 23 is written as “twenty-three.”
Natural numbers
Whole numbers
Integers
Fractional and decimal numbers.
Real numbers
Rational numbers
Irrational numbers
Complex numbers
Imaginary numbers
Even numbers
Odd numbers
Prime numbers and
Composite numbers
Natural numbers are the numbers that contain the positive integers from 1 to infinity. Natural numbers are denoted by “N”.
N={1,2,3,4,5,.............}
Whole numbers are the numbers that contain all natural numbers, which include “zero(0)”. It is denoted by “W”.
W={0,1,2,3,..............}
Integers are the numbers on the number line that contain both positive and negative numbers, including 0. It is denoted by “Z”
Z = {.................,-3,-2,-1,0,1,2,3,..................}
Fractions are part of the whole. They are represented by numbers that have two parts to them and are separated by a bar. There is a number at the top, which is called the numerator, and the number at the bottom is called the denominator.
Ex:
(numerator)1/4 (denominator)
Decimals have a whole number part and a fractional part. These parts are separated by a decimal point.
Ex:
Decimal Point
Whole number part 20 . 5Fractional part
All the positive and negative integers, fractional, and decimal numbers without imaginary numbers are called real numbers. It is denoted by “R”.
R={-4,0,3,⅓,4.89,...........}
Any number that can be written as a ratio of one number over another is written as a rational numbers. This means that any number that can be written in the form of p/q. This is denoted by “Q”
An irrational number is one that cannot be expressed as a ratio of one number to another. It is denoted by “Q”.
The number that can be written in the form a+ib where “a” and “b” are called real numbers and ”i” is called imaginary, is known as a complex numbers. It is denoted by “C”.
Ex: 3+4i, 5+6i, 0+7i, 8+0i,........
The imaginary numbers are the complex numbers that can be written as the product of a real number and the imaginary unit “i”.
Ex: For example, the imaginary number of 3+4i is 12 (34).
A number that is exactly divisible by 2 is called an even number. It is also called a number that leaves a remainder when it is divided by 2. Simply all multiples of “2”.
Ex: 2,4,6,.........
A number that is not exactly divisible by “2”’ or a number that leaves the remainder “1”’ when it is divided by “2” are called odd numbers. Simply not multiples of “2”.
Ex: 1,3,5,..........
Prime numbers are the numbers that have two factors only, that is 1 and the number itself.
Ex: 2,3,5,...........
Composite numbers are those that have more than two factors.
Ex: 4,6,8,9,.........
Note: ”1” is neither prime nor composite.
Cardinal numbers are the numbers that are used to count any object. Any natural number that is 1,2,3,4,..
An ordinal number is a number that denotes the position or place of an object, such as 1st, 2nd, .....
We can convert 20000 into words using a place value chart. This can be done as follows:
The number 20000 has 5 digits. So let’s make a chart that shows a place value up to 5 digits.
Ten thousand | Thousands | Hundreds | Tens | Ones |
2 | 0 | 0 | 0 | 0 |
It can be expressed as,
10=0
100=0
1000=0
10000=0
100002=20000
Total=0+0+0+0+20000=20000
Twenty thousand in words.
Twenty Thousand
Yes, 20000 is both a natural and positive integer.
No, because it has more than two factors such as 2,4,5,10,100,.....
20000 is an even number because it leaves a remainder of 0 when it is divided by 2.
20,000+0i.
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