How many micrograms are there in #2.45*10^3# grams?

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Answer 1 · 2016-09-21T06:35:14

There are #2.45xx10^9# micrograms in #2.45xx10^3# grams .

#1# microgram is one-millionth of standard unit, which is gram here,

Hence, one gram has #1,000,000# or #10^6# micrograms.

and #2.45xx10^3# grams are equivalent to #2.45xx10^3xx10^6=2.45xx10^9# micrograms.

Answer 2 · 2016-09-22T10:57:40

#"micrograms "=2.45xx10^3xx10^6" "=" "2.45xx10^9#

#color(blue)("Establishing the ratio format and content")#

1 microgram #= 1xx10^(-6)" grams " larr " 1 millionth of 1 gram"#
#color(white)(.)#

#color(red)("Using ratio")#

#("micrograms")/("grams") ->color(magenta)(1/(10^(-6))) -=("micrograms")/(2.45xx10^3)#

#color(white)(.)#

#color(red)("but "1/10^(-6) " is the same as "(10^6)/1)#

#color(white)(.)#

#("micrograms")/("grams") ->color(magenta)((10^6)/1) -= ("micrograms")/(2.45xx10^3)#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("The calculation")#

#color(brown)((10^6)/1 -=("micrograms")/(2.45xx10^3))#

#color(white)(.)#

#color(red)("Multiply bot sides by "color(blue)(2.45xx10^3))#

#color(white)(.)#

#color(brown)((10^6)/1 color(blue)(xx2.45xx10^3) " "=" micrograms "xx(color(blue)(cancel(2.45xx10^3)))/(cancel(2.45xx10^3)) )#

#color(white)(.)#

#"micrograms "=2.45xx10^3xx10^6" "=" "2.45xx10^9#