Question

Perform the following operations to the correct number of significant figures.
257 N X 0.42 m =

Answer 1

@Shalante

Answer 2

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?

Answer 3

257 have 3 and 0.42 have 2

Answer 4

so we are goona use two s.f right??

Answer 5

which be 107.94

Answer 6

Nope. 107.94 = 5 sig figs. All the numbers count, even the 0 in the middle of the 1 and 7.

Answer 7

but know here we have 5 s.f right

Answer 8

then it be 1.1X10^2

Answer 9

You are correct

Answer 10

so this be the answer

Answer 11

mmhmm.\(\checkmark\)

Answer 12

but one of my friend said that it be 110 Newton meters

Answer 13

how is it comes thou??

Answer 14

is they convert newton to meters maybe

Answer 15

110 = 3 sig figs which is incorrect.

Answer 16

no its two because the last zero doesn't count

Answer 17

Oh my bad. Yes, you are right, 110 has 2 sig figs, but 110. has 3

Answer 18

wait but how he get 110

Answer 19

@Shalante

Answer 20

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.

Answer 21

1.82 g/mL X 0.613 cm = 1.6X10^1

Answer 22

Is it right??

Answer 23

No. this is 3 s.f. x 3 s.f = 3 s.f

Answer 24

\[\sf 1.82~ \frac{g}{mL} ~\times ~ 0.613~cm = 1.11566 ~\frac{g}{mL}\cdot cm = 1.12~\frac{g}{mL} \cdot cm\]

Answer 25

wait how you get 0.613 cm

Answer 26

\(\color{#0cbb34}{\text{Originally Posted by}}\) @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

Answer 27

oh ok the question was thou 1.82 g/mL X 8.6 mL = 1.6 X 10 ^1

Answer 28

sorry about that!!

Answer 29

okay, then your answer would be 2 s.f

Answer 30

\[\sf 1.82~\frac{g}{mL}~\times~8.6~mL~ =~ 15.652~g~ = ~16.~g\]