Melodydude
  • Melodydude
Hey so I've been having trouble with this question for a while. I know the answer has 5 significant figures but what I don't know is which one is correct. I tried a few methods to get to what I what but I just keep confusing myself. Can anyone give me a hand with this? I'm not asking for you to give me the answer I just need a little guidance so I can get it on my own please. What is the correct answer using significant figures? 1.2x103 * 787=? a. 9.44 x 103 b. 944 c. 944400 d. 9.4 x 105
Chemistry
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SOLVED
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katieb
  • katieb
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Melodydude
  • Melodydude
@Vocaloid
Vocaloid
  • Vocaloid
5 significant figures? are you sure about that?
Melodydude
  • Melodydude
um well now im not...

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Melodydude
  • Melodydude
This is sig stuff is my only weakness with chemistry i really dont get it
Vocaloid
  • Vocaloid
also, is 103 supposed to be 10^3, like with a 3 in the exponent?
Melodydude
  • Melodydude
yea
Vocaloid
  • Vocaloid
well, ok, first we just multiply the numbers together to get 944400 now, the rule for multiplication is that: the number of sig figs in the answer = the lowest number of sig figs in the factors (I'll demonstrate)
Vocaloid
  • Vocaloid
1.2 * 10^3 has 2 sig figs (both 1 and 2 are significant) 787 has 3 sig figs so the answer will have 2 sig figs because 2 is the smallest number of sig figs
Melodydude
  • Melodydude
thats where my first mistake was!
Melodydude
  • Melodydude
I put all of them together by accident
Vocaloid
  • Vocaloid
right, remember it's the smallest number of sig figs so, we rewrite 944400 in scientific notation to get 9.44400 * 10^5 then round down to 2 sig figs 9.4 * 10^5
Melodydude
  • Melodydude
So the answer would be D
Vocaloid
  • Vocaloid
yup
Melodydude
  • Melodydude
Wow Thank you so much for your help!

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