## MTALHAHASSAN2 one year ago Perform the following operations to the correct number of significant figures. 257 N X 0.42 m =

1. MTALHAHASSAN2

@Shalante

2. 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?

3. MTALHAHASSAN2

257 have 3 and 0.42 have 2

4. MTALHAHASSAN2

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

5. MTALHAHASSAN2

which be 107.94

6. Jhannybean

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

7. MTALHAHASSAN2

but know here we have 5 s.f right

8. MTALHAHASSAN2

then it be 1.1X10^2

9. Jhannybean

You are correct

10. MTALHAHASSAN2

11. Jhannybean

mmhmm.$$\checkmark$$

12. MTALHAHASSAN2

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

13. MTALHAHASSAN2

how is it comes thou??

14. MTALHAHASSAN2

is they convert newton to meters maybe

15. Jhannybean

110 = 3 sig figs which is incorrect.

16. MTALHAHASSAN2

no its two because the last zero doesn't count

17. Jhannybean

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

18. MTALHAHASSAN2

wait but how he get 110

19. MTALHAHASSAN2

@Shalante

20. 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.

21. MTALHAHASSAN2

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

22. MTALHAHASSAN2

Is it right??

23. Jhannybean

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

24. Jhannybean

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

25. MTALHAHASSAN2

wait how you get 0.613 cm

26. 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

27. MTALHAHASSAN2

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

28. MTALHAHASSAN2

29. Jhannybean

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