MTALHAHASSAN2
  • MTALHAHASSAN2
Perform the following operations to the correct number of significant figures. 257 N X 0.42 m =
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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MTALHAHASSAN2
  • MTALHAHASSAN2
@Shalante
Jhannybean
  • Jhannybean
When multiplying 2 numbers take the least number of significant figures. how many sig figs does 257 have? how many dig figs does 0.42 have?
MTALHAHASSAN2
  • MTALHAHASSAN2
257 have 3 and 0.42 have 2

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MTALHAHASSAN2
  • MTALHAHASSAN2
so we are goona use two s.f right??
MTALHAHASSAN2
  • MTALHAHASSAN2
which be 107.94
Jhannybean
  • Jhannybean
Nope. 107.94 = 5 sig figs. All the numbers count, even the 0 in the middle of the 1 and 7.
MTALHAHASSAN2
  • MTALHAHASSAN2
but know here we have 5 s.f right
MTALHAHASSAN2
  • MTALHAHASSAN2
then it be 1.1X10^2
Jhannybean
  • Jhannybean
You are correct
MTALHAHASSAN2
  • MTALHAHASSAN2
so this be the answer
Jhannybean
  • Jhannybean
mmhmm.\(\checkmark\)
MTALHAHASSAN2
  • MTALHAHASSAN2
but one of my friend said that it be 110 Newton meters
MTALHAHASSAN2
  • MTALHAHASSAN2
how is it comes thou??
MTALHAHASSAN2
  • MTALHAHASSAN2
is they convert newton to meters maybe
Jhannybean
  • Jhannybean
110 = 3 sig figs which is incorrect.
MTALHAHASSAN2
  • MTALHAHASSAN2
no its two because the last zero doesn't count
Jhannybean
  • Jhannybean
Oh my bad. Yes, you are right, 110 has 2 sig figs, but 110. has 3
MTALHAHASSAN2
  • MTALHAHASSAN2
wait but how he get 110
MTALHAHASSAN2
  • MTALHAHASSAN2
@Shalante
Jhannybean
  • Jhannybean
I `think` he got 110 by rounding 107.94 to 2 decimal places... so rounding 0 to 1 without touching the decimal. Therefore it would become 110. I believe it is wrong because that is excluding all the other numbers as part of the answer, whereas \(\sf 1.1 ~\times~ 10^2\) does not disregard the other numbers, it just states that \(\sf 1.1~\times~10^2\)is a more accurate representation of the answer to 2 significant figures.
MTALHAHASSAN2
  • MTALHAHASSAN2
1.82 g/mL X 0.613 cm = 1.6X10^1
MTALHAHASSAN2
  • MTALHAHASSAN2
Is it right??
Jhannybean
  • Jhannybean
No. this is 3 s.f. x 3 s.f = 3 s.f
Jhannybean
  • Jhannybean
\[\sf 1.82~ \frac{g}{mL} ~\times ~ 0.613~cm = 1.11566 ~\frac{g}{mL}\cdot cm = 1.12~\frac{g}{mL} \cdot cm\]
MTALHAHASSAN2
  • MTALHAHASSAN2
wait how you get 0.613 cm
Jhannybean
  • Jhannybean
\(\color{#0cbb34}{\text{Originally Posted by}}\) @MTALHAHASSAN2 1.82 g/mL X 0.613 cm = 1.6X10^1 \(\color{#0cbb34}{\text{End of Quote}}\) I was basing it off what you wrote
MTALHAHASSAN2
  • MTALHAHASSAN2
oh ok the question was thou 1.82 g/mL X 8.6 mL = 1.6 X 10 ^1
MTALHAHASSAN2
  • MTALHAHASSAN2
sorry about that!!
Jhannybean
  • Jhannybean
okay, then your answer would be 2 s.f
Jhannybean
  • Jhannybean
\[\sf 1.82~\frac{g}{mL}~\times~8.6~mL~ =~ 15.652~g~ = ~16.~g\]

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