Question

More stuff with significant figures..

Answer 1

5650 L / 27 min

Answer 2

5650 is 3 sig figs and 27 is 2 sig figs so you want your answer to be 2 sig figs

Answer 3

again divide like normal and round

Answer 4

What is a sig fig? How do you know how many there are?

Answer 5

significant figure.
non 0 numbers are always significant, so you know the 565 in 5650 is significant, but the 0 isnt significant because theres no decimal point

Answer 6

again, all non zeros are significant, so all of 27 is significant

Answer 7

Yes, I know that, but what is a significant figure?

Answer 8

why would it be 1?

Answer 9

and sig figs are all non zeros, zeros between non zeros, zeros left of a decimal, and zeros right of the decimal unless theres no nonzero left of the decimal

Answer 10

Suppose I ask your height,
and you say `1700 mm`

Answer 11

and when you solve a problem with 2 or more numbers, you answer is going to have the same amount of sig figs as the number with the smallest amount of sig figs

Answer 12

because you didnt have a decimal, 1700 would have 2 sig figs. but if you said 1700., that would be 4 sig figs.

Answer 13

that make sense?

Answer 14

how would I know which tape have you used to measure your height ?
(do you have a tape that can measure nano meters or fempto meters ? )

Answer 15

1700 mm

tells me that you have a tape with markings for every 100mm

Answer 16

you can never measure less than 100mm using ur tape

if I were to use your tape to measure my height, i might come up with 1800mm or 1600mm but never 1656 or 1734

Answer 17

if that makes any sense... sig figs are related to conveying measurements to rest of the scientific community in an unambiguous way

everyone need to know the precision of your tape

Answer 18

Okay, but how do you know how many sig figs would be in a number, say 298 ?

Answer 19

lets say you have told me that the new plant in your garden is 298 cm high

Answer 20

that clearly tells me that you can measure upto a cm using your tape, eh ?

Answer 21

Yeah

Answer 22

you haven't rounded and told me 290 or 300
you have told me 298

Answer 23

that means number of sig figs is 3

Answer 24

So the 2, the 9, and the 8 are all sig figs, right?

Answer 25

if you have rounded it to nearest 10cm and told me that the height of plant is 290cm
then the number of sig figs would be 2

Answer 26

if you really have a thick and useless tape, you would be rounding it to nearest meter and telling me that the height is 300cm

here number of sig figs is just 1

Answer 27

So 0 is not a sig fig..

Answer 28

its the NUMBER of sig figs that important,
not the actual digits

Answer 29

if you have told me that the height of plant is 209 cm
then the number of sigfigs is still 3

Answer 30

because i know that your tape can measure up to a cm accurately because you're saying 209 and not 210

Answer 31

Okay, so if the number were 2084, there are 4 sig figs.. but in 100 there is only one sig fig, right?

Answer 32

You got it !

Answer 33

Awesome! Thanks! ^.^

Answer 34

what if

Answer 35

what if your tape can really measure upto a cm accurately, but your plant height is exactly 100cm ?

how would you pass that info to other scientists ?

Answer 36

That it is 3 sig figs?

Answer 37

100. : sigfigs = 3 (precision = 1cm)
100 : sigfigs = 1 (precision = 1 meter)

Answer 38

you just add a "dot" in the end, and the scientist community would understand that you did the measurements with 1cm accuracy and not 1m

Answer 39

Ahhh, okay. ^.^

Answer 40

So for the problem I have above, what do I do ?

Answer 41

which problem ?

Answer 42

5650 L / 27 min

Answer 43

5650 L / 27 min
Yeah

Answer 44

# of sigfigs of numerator = ?
# of sigfigs of denominator= ?

Answer 45

4 for numerator 2 for denominator ?

Answer 46

oh, switch those around

Answer 47

2, so you perform the division and round the result to 2 sigfigs

Answer 48

2 is small ^^

Answer 49

hey wait a sec

Answer 50

5650 L / 27 min

# of sigfigs in 5650 is 3, right ?

Answer 51

because because... you can only measure in 10L increments

Answer 52

its same as the height example we have worked earlier

Answer 53

Oh

Answer 54

5450 L

tells me that whoever made measurement has a 10L beaker for measuring; he cannot measure less than 10L.

Answer 55

so # of sig figs in 5650 is just 3

Answer 56

so it would be 3/2 ?

Answer 57

yes,
since the smallest of them is 2, we need to round the result to 2 sig figs

Answer 58

5650 L / 27 min

do the division, what do u get ?

Answer 59

209.3

Answer 60

yes, round it to 2 sigfigs

Answer 61

21 ?

Answer 62

how is 209.3 related to 21 ?

Answer 63

Or just 20?

Answer 64

if you round ur height of 176 cm to 2 sigfigs, would it become 17cm ?

Answer 65

are you 17cm ? :P

Answer 66

209.3


rounding to 2 sigfigs is same as rounding to 10's place here

Answer 67

Oh, nope. XD

Answer 68

209.3

rounded to 10's place is

210

Answer 69

which indeed has 2 sigfigs

Answer 70

Oh okay

Answer 71

So I don't add anything with the L and min in my answer, it would just be 210 right?

Answer 72

210 Liters per Minute

Answer 73

210 L/M

Answer 74

units carry along

Answer 75

Ah, okay. ^.^

Answer 76

scientific notation is easy
but sigfigs are very tricky, you need to make sense of these somehow

Answer 77

Yeah, I see that. XD

Answer 78

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Answer 79

yw :)

Answer 80

Mind helping me with eh, 2 more? ^.^

Answer 81

sure post

Answer 82

Done so, I tagged you. ^.^