color(blue)("Explaining the principle behind this")
Explained by example:
Consider 2.5
If we multiply this value by 1 we have: 2.5xx1=2.5
The really cool thing is that you can use this principle to change the way some value looks without changing its inherent value at all:
color(brown)("If you have "10/10" this this is the equivalent of 1")
So, if I multiply 2.5 by 1 but the 1 is in the form of 10/10 then we have:
" "2.5xx10/10
This is the same as" "(2.5xx10)/10 = 25/10 = 25xx10^(-1)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Solving your question")
Given:" "0.00083
Multiply by 10/10 giving " "(0.00083xx10)/10 =color(red)((0.0083)/10)
color(brown)("Process repeat number 1")
" "color(red)((0.0083)/10)xx10/10= (0.0083xx10)/(10xx10) =color(green)(0.083/(10^2))
color(brown)("Process repeat number 2")
" "color(green)(0.083/(10^2))xx 10/10=(0.083xx10)/(10^2xx10)=color(magenta)(0.83/(10^3))
color(brown)("Process repeat number 3")
" "color(magenta)(0.83/(10^3))xx 10/10 = (0.83xx10)/(10^3xx10)=8.3/(10^4)
color(white)(.)
" "color(green)("Write this as: " 8.3xx10^(-4))
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This is the equivalent of keeping the decimal place where it is and sliding the number to the left four places. You than apply a correction. In this case the correction is 10^(-4) which would change 8.3 back to 0.00083 if applied.
color(green)("You have not changed the value but you have changed the way it looks!")
