MyMaths MyLife

We all know about cm, mm, Km ..................., but we dont know much about inches, yard .............
you might have got a question that " what is the relationship between inch and cm, inch and yard"...........
This is going to list all the conversions of such units

LINEAR

Inch=Basic Unit

1 hand = 4 inches
1 link = 7.92 inches
1 span = 9 inches
1 foot = 12 inches
1 yard = 3 feet
1 fathom = 2 yards
1 rod = 5.5 yards
1 chain = 100 links=22 yards
1 furlong = 20 yards
1 mile = 1760 yards
1 knot mile= 6076.1155 feet
1 league = 3 miles
1 inch = 2.54 cm

An equation which has the unknown quantity raised only to powers which are whole numbers and the highest power being the square of the unknown quantity, is called a quadratic equation.
The most general form of a quadratic equation is ax^2 + bx + c = 0.
There are two values of x that satisfy such a quadratic equation. These values are called the roots of the quadratic equation.

The roots of the above quadratic equation are given by (-b±√(b^2-4ac))/2a

For ax^2 + bx + c = 0, sum of the roots = -b/a; Product of the roots = c/a

The Relation Between G.C.D and L.C.M:

For GCD concept click here:http://business-maths.blogspot.com/2009/02/greatest-common-divisor.html
For LCM concept click here:http://business-maths.blogspot.com/2009/02/least-common-multiple-lcm.html
Find the G.C.D and L.C.M of 30 and 48 and it shows that the product of GCD and LCM is equal to the product of the two given numbers.
GCD of 30,48 is 6.
And LCM of 30,40 is 240.
LCM*GCD=240*6=1440
Product of 30 and 48= 30*48=1440.
Hence the product of the two numbers is equal to the product of their G.C.D and L.C.M.
If a and b are any two natural numbers and L and G are respectively their L.C.M and G.C.D., then a*b=L*G

Least Common Multiple (L.C.M):


Rules:

The smallest of the common multiples of two natural numbers (a and b) is called the least common multiple(LCM) of the numbers a and b.

The smallest of the common multiples of two or more natural numbers is called the least common multiple(LCM).

If two numbers are c0-prime, then their LCM is equal to their product.

Given two numbers, if the first number is a multiple of the second number, then their LCM is equal to the first number.

Relationship Between GCD and LCM:
If a and b are any two natural numbers and L and G are respectively their LCM and GCD, then a*b=L*G

Example:

LCM of 30,48

2 |30,48
_______
3 |15,24
_____
5,8

LCM of 30,48 = 2*3*5*8= 240

Basic Mathematical Symbols:

+ Plus

- Minus

× Multiply

÷ Divide

= Equal

% percent

: Ratio

> Greater than

< Less than

.∙. Therefore

∙.∙ Because

± Plus- minus sign

≠ Not equal to

≤ Less than or equal to

≥ Greater than or equal to

∞ Infinity

≈ Almost equal to

Basic Numbers-Number System:

Natural Numbers:
The numbers we use for counting are called natural numbers. The set of all natural numbers is denoted by “N”.
Hence N= {1,2,3,4……..}.

Whole Numbers:
When all the natural numbers and zero are put together, we get a new set of whole numbers. The set of whole numbers is denoted by “W”.
Hence W={0,1,2,3,4………}.

Integers:
The set containing positive numbers(1,2,3….), negative numbers(-1,-2,-3,…..) together with zero is called as set of integers. We denote the set of integers with “Z”.
Hence Z={……-3,-2,-1,0,1,2,3,……..}.

Rational Numbers:
A rational number is a number of the form a/b. Where a and b are integers, b≠0.
Example: {2/3, 4/7,7/9……..}

Prime Numbers:
Numbers which do not have any other factors except 1 and itself are called prime numbers.
Examples: {1,2,3,5,7,11,13,17,19,23,29,31,37,41……….}

Composite Numbers:
All numbers greater than 1 and except prime numbers are called composite numbers.
Examples: {4,6,8,9,10,12…….}.
Even Numbers:
Numbers which are exactly divisible by 2 are called even numbers.
Examples: {2,4,6,8,10…….}

Odd Numbers:
Numbers which are not exactly divisible by 2 are called even numbers.
(or)
Numbers which are not even numbers are called odd numbers.
Examples: {1,3,5,7,9……..}.