How do you write #4.76 xx 10^-5# in standard notation?

1 Answer
Jul 22, 2015

Answer:

#0.0000476#

Explanation:

You can just move the decimal point in #4.76# five places to the left to get #0.0000476#.

You could also recognize #10^{-5}=1/(10^{5})=1/100000=0.00001# and #4.76*0.00001=0.0000476#

Yet one more way to think about it is: #4.76\times 10^{-5}=476\times 10^{-7}=476\times 1/(10^{7})=476/(10,000,000)=0.0000476#, which, in words, is "four-hundred-seventy-six ten-millionths"