Which one is valid below? Is '5.42 X 10^5' equal to 542000. X 10^1 or 542000. X 10^0

Indranil

Junior Member
Joined
Feb 22, 2018
Messages
215
'5.42 X 10^5' this is the number in scientific notation. I rewrite the number below in two forms. Please tell me which one is correct
1. 542000. X 10^1
2. 542000. X 10^0
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
4,777
\(\displaystyle 10^5= 100000\) (the exponent if 5 so there are 5 zeros).
\(\displaystyle 5.42\times 10^5= 5.42\times 100000\).

Move the decimal point in 5.42 to the right five places. Moving it two places gives 542 so three more places is 542000. That is the same as \(\displaystyle 542000\times 1= 542000\times 10^0\).
 

Indranil

Junior Member
Joined
Feb 22, 2018
Messages
215
\(\displaystyle 10^5= 100000\) (the exponent if 5 so there are 5 zeros).
\(\displaystyle 5.42\times 10^5= 5.42\times 100000\).

Move the decimal point in 5.42 to the right five places. Moving it two places gives 542 so three more places is 542000. That is the same as \(\displaystyle 542000\times 1= 542000\times 10^0\).
Thanks a lot
 
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