juciystar234 3 years ago Write in standard form 6.678x10^2, 9.9673x10^2, 7.02x10^1

1. juciystar234

2. juciystar234

I think the book made a typo on these thats why I need help.

3. juciystar234

back

4. asnaseer

They all look like they are in scientific notation already

5. juciystar234

i mean standard form :P silly me

6. asnaseer

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.

7. juciystar234

Ummm still kinda confused can you show me this one 6.678x10^2

8. asnaseer

e.g.: |dw:1349822658094:dw|

9. juciystar234

as an example cause I'm still confused

10. asnaseer

we moved the decimal point 2 places to the right because we have to the power of 2.

11. juciystar234

but wouldn't the decimal be a comma and how many zeros would be at the end?

12. asnaseer

no - comma's are generally used to group numbers into groups of three - to make them easier to read. e.g.:$1,376,234.023$

13. juciystar234

like 5.9 x 10^2 it would be 590 right?

14. juciystar234

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.

15. asnaseer

yes that is correct because: |dw:1349822896694:dw|

16. juciystar234

yea

17. asnaseer

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

18. asnaseer

another example:

19. asnaseer

|dw:1349823030980:dw|

20. asnaseer

hope it's making sense now

21. juciystar234

oh ok

22. juciystar234

yea i see i see :D thank youz :)

23. asnaseer

yw :)

24. asnaseer

$6.678\times10^2=667.8$as I showed up above.

25. juciystar234

so it has no comma

26. asnaseer

you only add extra zeros to the number if the power of ten means it has to go beyond the digits already available

27. juciystar234

ohhhhhhhhhhhhhhhh ok so these 9.9673x10^2, 7.02x10^1 would have decimals and not commas too?

28. asnaseer

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

29. juciystar234

oh ok :)

30. asnaseer

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