Introduction for how to learn my numbers:
A numbers is a mathematical object used in counting and measuring. The notational symbols which represent 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 word for the number. In addition to their used in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes. In this article we shall dicuss about how to learn my numbers. (Source.Wikipedia)
Classifications learn my numbers:
Types:
1. Natural numbers
2. Integers
3. Rational numbers
4. Real numbers
5. Complex numbers
1. Natural numbers:
The numbers 1, 2, 3… are called learn my natural numbers. They are also called counting learn numbers since they are used for counting objects.
2. Integers:
The numbers 0, 1, -1, 2, -2 … are called learn integers of which 1, 2, 3 … are called positive integers and -1, -2, -3… are called negative integers. The collection of all integers is denoted by the letter Z. Thus Z = {…, -3, -2, -1, 0, 1, 2, 3…}.
3. Rational numbers:
A number of the form t/r where t and r are integers and r ? 0 is called a rational number. The collection of all my rational numbers is denoted by Q. A rational number t/r is said to be in the proper form if r is a positive integer and t and r have no common factor other than 1.
Example, rational numbers `7/13` ,` 2/7`
Real numbers:
Combination for rational and irrational numbers are called as real numbers
Example: 42, -55/98
Complex numbers:
Learn complex number is of the form s + it where ‘s’ and ‘t’ are real numbers and i is called the imaginary unit, having the property that i2 = - 1. If z = s+ it then s is called the real part of z, denoted by Re(z) and t is called the imaginary part of z and is denoted by Im(z). Examples forf complex numbers are 9 - i2,
Examples for learn my numbers:
Example 1:
Determine the rational number represented by 77.0.
Solution:
Let x =77.0. Then x = 0.777777…
? 100x = 77.777777…
? 100x - x = (77.777777…) - (0.777777…) = 77.0000…
? 99x = 77 or x = `77/99` =`7/9`
Example 2:
Write the real and imaginary parts of the following numbers:
(i) 6 - i 3 (ii)`93/2` i
Solution:
(i) Let z = 6 - i 3 ; Re(z) = 6, Im(z) = - 3
(ii) Let z =`93/2` i ; Re(z) = 0, Im(z) =`93/2`
A numbers is a mathematical object used in counting and measuring. The notational symbols which represent 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 word for the number. In addition to their used in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes. In this article we shall dicuss about how to learn my numbers. (Source.Wikipedia)
Classifications learn my numbers:
Types:
1. Natural numbers
2. Integers
3. Rational numbers
4. Real numbers
5. Complex numbers
1. Natural numbers:
The numbers 1, 2, 3… are called learn my natural numbers. They are also called counting learn numbers since they are used for counting objects.
2. Integers:
The numbers 0, 1, -1, 2, -2 … are called learn integers of which 1, 2, 3 … are called positive integers and -1, -2, -3… are called negative integers. The collection of all integers is denoted by the letter Z. Thus Z = {…, -3, -2, -1, 0, 1, 2, 3…}.
3. Rational numbers:
A number of the form t/r where t and r are integers and r ? 0 is called a rational number. The collection of all my rational numbers is denoted by Q. A rational number t/r is said to be in the proper form if r is a positive integer and t and r have no common factor other than 1.
Example, rational numbers `7/13` ,` 2/7`
Real numbers:
Combination for rational and irrational numbers are called as real numbers
Example: 42, -55/98
Complex numbers:
Learn complex number is of the form s + it where ‘s’ and ‘t’ are real numbers and i is called the imaginary unit, having the property that i2 = - 1. If z = s+ it then s is called the real part of z, denoted by Re(z) and t is called the imaginary part of z and is denoted by Im(z). Examples forf complex numbers are 9 - i2,
Examples for learn my numbers:
Example 1:
Determine the rational number represented by 77.0.
Solution:
Let x =77.0. Then x = 0.777777…
? 100x = 77.777777…
? 100x - x = (77.777777…) - (0.777777…) = 77.0000…
? 99x = 77 or x = `77/99` =`7/9`
Example 2:
Write the real and imaginary parts of the following numbers:
(i) 6 - i 3 (ii)`93/2` i
Solution:
(i) Let z = 6 - i 3 ; Re(z) = 6, Im(z) = - 3
(ii) Let z =`93/2` i ; Re(z) = 0, Im(z) =`93/2`
