juciystar234
Write in standard form 6.678x10^2,
9.9673x10^2, 7.02x10^1
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juciystar234
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AFK please help still
juciystar234
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I think the book made a typo on these thats why I need help.
juciystar234
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back
asnaseer
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They all look like they are in scientific notation already
juciystar234
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i mean standard form :P silly me
asnaseer
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if you have some number given as:\[a.bcde\times10^x\]then this just means move the decimal place x number of times to the right.
if x was negative, then it means move it x places to the left.
juciystar234
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Ummm still kinda confused can you show me this one 6.678x10^2
asnaseer
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e.g.:
|dw:1349822658094:dw|
juciystar234
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as an example cause I'm still confused
asnaseer
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we moved the decimal point 2 places to the right because we have to the power of 2.
juciystar234
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but wouldn't the decimal be a comma and how many zeros would be at the end?
asnaseer
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no - comma's are generally used to group numbers into groups of three - to make them easier to read. e.g.:\[1,376,234.023\]
juciystar234
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like 5.9 x 10^2 it would be 590 right?
juciystar234
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because those are the only ones in my book like that. the rest are like 5 x 10^11/
3.4 x 10^3 etc.
asnaseer
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yes that is correct because:
|dw:1349822896694:dw|
juciystar234
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yea
asnaseer
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so if the decimal point needs to move right by more places than you have digits, then you just keep adding zeros to the number
asnaseer
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another example:
asnaseer
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|dw:1349823030980:dw|
asnaseer
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hope it's making sense now
juciystar234
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oh ok
juciystar234
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yea i see i see :D thank youz :)
asnaseer
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yw :)
asnaseer
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\[6.678\times10^2=667.8\]as I showed up above.
juciystar234
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so it has no comma
asnaseer
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you only add extra zeros to the number if the power of ten means it has to go beyond the digits already available
juciystar234
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ohhhhhhhhhhhhhhhh ok so these 9.9673x10^2, 7.02x10^1 would have decimals and not commas too?
asnaseer
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and again, comma's are only used to separate digits into groups of three to make the number easier to read. so if the number has 3 or less digits (before the decimal point), then you would not have any comma.
some examples of comma usage:
123.12
1,123.12
12,123.12
1,123,123.12
juciystar234
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oh ok :)
asnaseer
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so strategy is:
1) convert the number from scientific notation to standard form
2) group every 3 digits to the left of the decimal point with comma's