+118609 -9.98E-05
\(-9.98*10^{-05}=-9.98*10^{-5}\)
This is in scientific notation (or standard notation if you are from the United Kingdom)
the 5 indicates that the decimal point must be moved 5 places.
The - with the 5 indicates that this is a really little number so the point gets moved in the direction to make the number smaller, that is, to the left.
\(-9.98*10^{-5}\\ =-000009.98*10^{-5}\\ jump\;1\;place\;\;=-00000.998*10^{-4}\\ jump\;2\;place\;\;=-0000.0998*10^{-3}\\ jump\;3\;place\;\;=-000.00998*10^{-2}\\ jump\;4\;place\;\;=-00.000998*10^{-1}\\ jump\;5\;place\;\;=-0.0000998*10^{0}\\ so\\ -9.98*10^{-5}=-0.0000998\\~\\ \mbox{If you want to change this to a fraction it is } \frac{-998}{10000000}=\frac{-499}{5000000} \mbox{Just as our guest said.}\)
+118609 -9.98E-05
\(-9.98*10^{-05}=-9.98*10^{-5}\)
This is in scientific notation (or standard notation if you are from the United Kingdom)
the 5 indicates that the decimal point must be moved 5 places.
The - with the 5 indicates that this is a really little number so the point gets moved in the direction to make the number smaller, that is, to the left.
\(-9.98*10^{-5}\\ =-000009.98*10^{-5}\\ jump\;1\;place\;\;=-00000.998*10^{-4}\\ jump\;2\;place\;\;=-0000.0998*10^{-3}\\ jump\;3\;place\;\;=-000.00998*10^{-2}\\ jump\;4\;place\;\;=-00.000998*10^{-1}\\ jump\;5\;place\;\;=-0.0000998*10^{0}\\ so\\ -9.98*10^{-5}=-0.0000998\\~\\ \mbox{If you want to change this to a fraction it is } \frac{-998}{10000000}=\frac{-499}{5000000} \mbox{Just as our guest said.}\)
+33616 A comment on this statement of Melody's: "This is in scientific notation (or standard notation if you are from the United Kingdom)"
An internet search reveals some ambiguity in the use of the term "standard notation".
Some sites use it as an alternative to "scientific notation", as noted by Melody.
Others use it to distinguish it from "expanded notation": e.g. 365 = standard notation. 3*100 + 6*10 + 5 = expanded notation.
Some sites use "standard form" as the equivalent of "scientific notation".
I'm from the UK and, when I was at school, only ever used the term "scientific notation" (mind you, that was in the days when we did mathematics by chipping blocks of stone with sharpened pebbles!). Numbers that weren't in scientific notation weren't given a name at all!
Names aren't important (unless some idiotic examination boards use them as questions); concepts are.
