Thursday, February 14, 2013

COMPLEX NUMBERS


COMPLEX NUMBERS

The number in the form of a + ib where a and b are real numbers and i = √-1 is called the complex number

The square root of negative number (√-a) is called the imaginary number, for example √-1, √-5, √-16 etc all are imaginary numbers.

The complex number has two parts which are real part that contains real number and the second is imaginary part which contains imaginary number for example the complex number z = a + ib, here “a” is real part and “ib” is imaginary part and they are denoted by Re(z) which means real part of complex number z, and Im(z) which means the imaginary part of complex number z.

Wednesday, February 13, 2013

KNOWLEDGE OF NUMBERS


NUMBERS

Def. Number is the sign or word that represents the amount or quantity e.g. one, two, three etc. there are symbols that used to represent numbers, those symbols are called numerals e.g. 1, 2, 3 ….. In definition numerals are symbols used to represent numbers.

BASE TEN NUMERATION
The current forms of symbols which are now used to represent numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 0 they were brought and discovered by Hindus and are called Hindu – Arabic Numerals. They are only ten.

Symbols that appear in numbers are called digits, the word Digit derived from a Latin word “digitus” which means “finger”. Consider the number 6275. This number has four digits, which are 6, 2, 7 and 5

PLACE VALUE
As discussed earlier that each number has digits, here we discuss about place value what is it? The answer is:-
Each digit has its value according to its position in number. Consider the number 6275 starting discovering from right, the right digit has the lowest value but as you go to the left the digit value increase from 1 to 10 to 100 to 1000 to 10000 to 100000 etc. but we don’t pronounce as normal like ten, hundred but they are pronounced as follows:-

1                      -           Ones
10                    -           Tens
100                  -           Hundreds
1000                -           Thousands
10000              -           Ten Thousands
100000                        -           Hundred Thousands
1000000          -           Millions