theory

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hi is there a good easy to understand website that teachs good electrical theory im getting a bit stuck with 'the power of' things?
 
1 x 10^2 is the same as 1 x 10 x 10 = 100
1 x 10^3 is the same as 1 x 10 x 10 x 10 = 1000
1 x 10^6 is the same as 1 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
 
Which if you look, you will see equates to the number of places the decimal point has moved.

If you had 1.648 x 10 ^ 3:

1.648 > 16.48 > 164.8 > 1648.

If it had been 1.648 x 10 ^ -3:

1.648 > 0.1648 > 0.01648 > 0.001648
 
You need to tell us what you need this info. for.Are you studying or an amateur sparky out of your depth?
 
davy_owen_88 said:
Which if you look, you will see equates to the number of places the decimal point has moved.

If you had 1.648 x 10 ^ 3:

1.648 > 16.48 > 164.8 > 1648.

If it had been 1.648 x 10 ^ -3:

1.648 > 0.1648 > 0.01648 > 0.001648

Thats OK using 10 as the multiplier, but it don't work using any other number as the multiplier.

Example:

1.648 x 9³ = ?

9³ = 9 x 9 x 9 = 729

1.648 x 729 = 1201.392

Agreed, the decimal point moves in relation to the number but the mathematics is not as simple as just moving the decimal point.

dave
 
Yeh sorry. I forgot to mention that it wasn't just a case of moving the decimal in all cases. I was trying to point out that where the decimal is placed is a good indication of whether you have made a cock-up along the line :lol:
 
Numbers written thus are known as Scientific Notation or Standard Form.

The commonly used indices that correspond to the common prefixes we use is known as Engineering Notation., eg:-

10^6 = Mega
10^3 = Kilo
10^-3 = mili
10^-6 = micro.
etc
etc.


It is unlikely you will meet any multipliers other than 10 (2, 8 and 16 may occur if you are working with binary, octal or hexadecimal numbers), unless an examiner is trying very devious means to plumb the depths of your knowledge.

Indices may be positive or negative, and occasionally fractional. An index of 1/2 equals the square root of the multiplier, or 1/3 equals the cube root etc,etc.

http://en.wikipedia.org/wiki/Scientific_notation
 

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