Thursday, 25 September 2014

Number Relation in table 9 for Primary Students

In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system.

Visual representation of the different multiplication tables from 2 to 50
The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations with base-ten numbers. Many educators believe it is necessary to memorize the table up 9 multiply by 9. 



Number Relation in table 9 :-

There is a relation between the digits of all numbers in Multiplication Table of 9
Please see this relation;

9*1=09   where   0+9=9
9*2=18    where   1+8=9
9*3=27    where   2+7=9
9*4=36    where   3+6=9
9*5=45    where   4+5=9
9*6=54    where   5+4=9
9*7=63     where   6+3=9
9*8=72     where   7+2=9
9*9=81     where   8+1=9
9*10=90   where   9+0=9

It proves that every number of multiplication table of 9 when added to make a single number then this number is also 9.

This very interesting and very Important for every primary students to know this number relation 




Monday, 22 September 2014

Fluid Pressure



Pressure force area.svg
Pressure at any point of a fluid. :-

 Pressure is the amount of force acting per unit area. The symbol of pressure is p or P
 

 Mathematically:

p = \frac{F}{A}\ \mbox{or}\ p = \frac{dF_n}{dA}
where:
p is the pressure,
F is the normal force,
A is the area of the surface on contact.
Pressure is a scalar quantity. It relates the vector surface element (a vector normal to the surface) with the normal force acting on it. The pressure is the scalar proportionality constant that relates the two normal vectors:
d\mathbf{F}_n=-p\,d\mathbf{A} = -p\,\mathbf{n}\,dA


Uniform Pressure :- 
 The pressure on a Plane area is uniform when the thrust on any portion of it is proportional to the area of that portion, and the pressure is measured by the thrust on a unit area.

Mean Pressure :-
 The mean pressure on a plane area is the uniform pressure on it which will give the same resultant thrust as the actual one.

Pressure at a Point :-
 The Pressure at any point of an area is the limit of the mean pressure on an indefinitely small area enclosing the point.



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