Converting Units With Conversion Factors - Metric System Review & Dimensional Analysis - Free Educational videos for Students in K-12 | Lumos Learning

Converting Units With Conversion Factors - Metric System Review & Dimensional Analysis - Free Educational videos for Students in k-12


Converting Units With Conversion Factors - Metric System Review & Dimensional Analysis - By The Organic Chemistry Tutor



Transcript
00:0-1 in this video , we're going to talk about how
00:02 to convert from one unit into another . We're going
00:05 to talk about units associated with distance , mass or
00:09 weight , volume and capacity time , as well as
00:13 units in the metric system . We're gonna cover that
00:15 as well . So let's begin by taking some notes
00:21 . Hopefully you have a sheet of paper with you
00:23 and you may want to write down a few things
00:26 . So let's begin with units associated with distance .
00:32 You need to know that there's 12 inches in a
00:35 foot three ft is equal to one yard , one
00:46 inch is equivalent to 2.54 centimeters . One kilometer is
00:55 equivalent to 1000 m . And these are some very
00:58 common conversion factors that you might come across when dealing
01:02 with unit conversion problems . Now there's more , one
01:07 m is equal to 100 centimeters , one mile is
01:14 equal to 1.609 kilometers and one mile is also equal
01:21 to 5280 ft . So those are some conversion factors
01:28 that you want to know when dealing with distance or
01:31 less . Now let's talk about conversion factors associated with
01:35 mass or weight . So here's the first common one
01:47 that you'll see in chemistry . And even in physics
01:51 , sometimes one kg is equal to 1000 g .
01:56 one kg is also equivalent to £2.2 kilogram is a
02:04 unit of mass , but pounds is typically a unit
02:07 of weight . Even though you can convert from one
02:11 to the other , they're not exactly the same .
02:13 Embarrasses really a quantity of matter , whereas weight is
02:18 a force , but you can convert from one to
02:21 another . Now £1 is equal to 16 ounces .
02:31 One ton is equal to £2000 and then there's a
02:38 metric ton . This is not exactly the same as
02:43 a regular ton , but a metric ton is equivalent
02:46 to 1000 kg . It's also equal to approximately £2200
02:54 . And for those of you who want a more
02:55 exact value , it's really 22 oh £4 . one
03:00 kg is £2.204 . But you can use £2.2 around
03:05 the value . So there's some common conversion factors that
03:10 you want to be familiar when dealing with mass for
03:12 weight . Now let's move on to the next topic
03:17 . That is conversion factors for volume or capacity .
03:27 One leader is equal to 1000 millilitres . One middle
03:34 leader is equal to one cubic centimeter and the cubic
03:41 meter is equal to 1000 leaders . One gallon is
03:49 equal to 3.7 85 liters . A gallon is also
03:56 equal to four quarts and one court is equal to
04:02 two points . You may not need to know that
04:06 one that's really not a common one , but sometimes
04:10 you may see problems associated with it . Now let's
04:15 talk about units of time . Many of you are
04:19 aware of these units , So here's some common ones
04:24 . One hour is equal to 60 minutes and there's
04:28 60 seconds in one minute , there's 24 hours in
04:34 a day and there's approximately 365 days in the year
04:42 . Now , if you're dealing with a leap year
04:45 , which happens every four years , there is 366
04:48 days in a leap year . In that month ,
04:52 in the month of february , there's 29 days in
04:54 a leap year , but in a regular year there's
04:56 28 days in the month of february . So keep
04:59 that in mind . A typical calendar muff has an
05:03 average of 30 days and one century is equal to
05:11 100 years . One millennium is equivalent to 1000 years
05:23 . Now , let's go back to a leap here
05:26 , which he said is 365 days . I mean
05:30 366 days rather because that happens every four years .
05:36 If you were to average that in you get a
05:39 typical year is more specifically 365 points 25 days .
05:47 Some problems may require that you use the 0.25 days
05:51 . Others may not . So you need to use
05:53 your judgment whether you're going to use this conversion factor
05:56 or that one . Either case , the answer shouldn't
06:00 be that much different regardless of the two that you
06:03 choose to use . But just keep in mind that
06:05 small difference for some problems , it may be significant
06:12 . Now let's talk about the metric system . You
06:19 need to be able to write a conversion factor after
06:23 you commit this to memory . So let's go over
06:27 some things first . Terror is 10 to 12 Giger
06:33 is 10 to 9 mega . It's 10 to 6
06:39 . As in kilo it's 10 to 3 Hector ,
06:46 10 to the two and then deca it's 10 to
06:50 the one and then you have your base unit .
06:52 And then below that Desi is 10 to the minus
06:56 one . And then since he 10 to the minus
06:59 two millie 10 to the minus stream micro , that's
07:05 10 to minus six , nano is 10 to minus
07:09 nine and Pickle is 10 to minus 12 . There's
07:14 some other ones but typically you don't need to know
07:18 the other ones that are outside of this range .
07:21 If you do just look them up and you may
07:24 want to write them down . There's some other ones
07:26 like adult or fem two and I'll leave it to
07:29 you to review that . But with this information you
07:32 need to be able to write a conversion factor .
07:35 So let's say if we want to write a conversion
07:37 factor between meters and kilometers , so it's going to
07:43 be one kilometer is equal to one times 10 to
07:47 the third meters . So here's how you can set
07:50 up the conversion factors . Always put a one next
07:55 to the side of the equation that has the prefix
07:57 such as kilo , terra giga , mega or micro
08:02 , and then place the multiplier near the base unit
08:05 meters seconds . Watch whatever it may be . So
08:11 let me give you some examples . One gigawatt is
08:16 equal to one times 10 to 9 watts . Let
08:22 me remove this . Hopefully you wrote that down .
08:27 A mega jaw is equal to one times 10 to
08:33 the sixth jewels one centimeter since he is 10 to
08:38 the minus two , So one centimeter is gonna be
08:41 one times 10 to the minus two m . A
08:45 nanosecond , nano is 10 to minus nine , so
08:49 it's going to be one times 10 to minus nine
08:52 seconds . A micro meter is one times 10 to
09:00 minus six m . So once you commit this to
09:05 memory , it's going to be very easy for you
09:10 to write the conversion factor which will make it easier
09:14 to solve problems associated with converting units with the metric
09:18 system . So make sure you write this down .
09:22 So let's start with some simple problems . Let's say
09:26 we wish to convert four ft into inches . How
09:31 can we do so ? Well this is a one
09:34 step conversion . We need to write the conversion factor
09:38 that helps us to go from feet two inches .
09:41 So if you recall it is one ft is equal
09:46 to 12 inches . This is our conversion factor .
09:50 So that's the first thing you wanna do , identify
09:53 what conversion factors will help you to do the problem
09:58 . Once you do that , start with what you're
10:00 given . So were given four ft , we're going
10:02 to put that over one . Now let's write another
10:06 fraction . Now we need to determine what to put
10:10 in this fraction . Should we put the 12 inches
10:15 on the top of the fraction or in the bottom
10:17 of the fraction ? In order for this to work
10:21 ? We neither units feet to cancel . So because
10:25 it's on the top in the first fraction , we
10:27 want to put feet in the bottom of the second
10:30 fraction on top of the first fraction , we're going
10:33 to put interests and then we're just gonna put the
10:35 numbers associated next to it . So we have a
10:38 one next defeat and the 12 next two inches .
10:42 So these units will cancel . And now we just
10:44 need to do the math . So whenever you see
10:47 two numbers on top multiplied by those numbers . For
10:51 numbers on the bottom you're gonna divide by that number
10:54 . Four times 12 is 48 . So the answer
10:57 is 48 inches . four ft is equivalent to 48
11:01 inches . So that's how you can convert from one
11:04 unit to another . Now let's try some more examples
11:08 with one step conversion problems . Go ahead and convert
11:14 350 g into kilograms and also convert 0.45 leaders into
11:28 mid leaders . So feel free to pause the video
11:32 and work on these examples . And then once you
11:35 finish working on them , play the video to see
11:38 if you have the right answer . So let's start
11:42 the first one . The first thing we need to
11:45 do is identify the conversion factor between grams and kilograms
11:51 . Now we wrote this down earlier , one kg
11:58 is equal to 1000 gramps . So that's a conversion
12:05 factor . So using that , how can we convert
12:10 350 g into kilograms . Feel free to work on
12:18 that . Mhm . So the first thing you want
12:22 to do is you want to start with what you're
12:23 given that is 350 g over one . Then you
12:28 need to decide what to put on the next fraction
12:31 . So because we have the unit grams here ,
12:33 we want to put grams on the bottom kilograms on
12:37 top . The number associated with kilograms is one .
12:42 The number associated with grabs is 1000 . So when
12:49 we set it up this way we can see that
12:51 the unit grams will cancel now because this number is
12:54 on the bottom , we're going to divide 3 50
12:57 by 1000 3 50 divided by 1000 is point 35
13:05 kilograms . Another way in which you can conveniently divide
13:09 by 1000 is you can move the decimal three units
13:13 to left . So that's the answer for the first
13:18 example . Now let's move on to the second example
13:23 . So this is another one step conversion problem but
13:26 here we're dealing with volume as opposed to mass .
13:30 Now the first thing we need to do is we
13:32 need to write the conversion factor . What is the
13:35 conversion factor between leaders and milliliters ? As you mentioned
13:42 earlier in this video , one leader is equal to
13:45 1000 mL . So that's the conversion factor that we're
13:49 going to use . Now let's start before were given
13:53 0.45 liters since we have leaders on the top ,
13:57 we're going to put that on the bottom and then
13:59 we're gonna put the other unit mid leaders on top
14:03 , there's a one in front of leaders and there's
14:06 1000 in front of me leaders . So this time
14:11 we need to multiply by 1000 instead of dividing by
14:14 1000 because these two numbers are on the numerator of
14:17 the fractions . So 0.4 me . Say that again
14:20 ? 0.45 times 1000 . That's going to be 450
14:26 . So when whenever you multiply by 1000 move the
14:29 decimal three units to the right , if you divide
14:32 by 1000 you want to move the decimal three units
14:34 to left . Likewise , if you were to multiply
14:37 by 100 you can just move the decimal two units
14:40 to the right . If you were to divide by
14:42 100 move it to units to the left . So
14:47 here the unit Leaders council and now we have our
14:50 final answer which is 450 mL . Now let's work
14:55 on some board problems . If Karen can make seven
14:59 cakes in three hours , how many cakes can she
15:02 make in 10 hours , feel free to work on
15:05 this example problem . So this is another one step
15:10 conversion problem . But the first thing is , what
15:14 is the conversion factor and what are we trying to
15:16 do here ? Right now ? We want to convert
15:21 time into cakes , so to speak , were given
15:26 at the time of 10 hours and we want to
15:31 know how many cakes can she make . Now in
15:38 order to find the answer , we need to identify
15:41 the conversion factor . So now that we've identified the
15:44 problem , what is the conversion factor ? The conversion
15:48 factor is basically in this example the rate in which
15:51 she can make cakes , she can make seven cakes
15:55 in three hours . So to keep things simple we're
15:58 gonna say seven cakes is equal to three hours .
16:02 So now let's convert let's start with what we're given
16:06 , which is 10 hours , we're gonna put that
16:09 over one and then we're going to convert that to
16:11 the number of cakes that she can make . So
16:15 because we have hours on top , we're going to
16:17 put hours on the bottom and then cakes on top
16:22 and then we're going to use our conversion factor here
16:26 . So there's a three in front of ours ,
16:29 a seven in front of cakes and now we can
16:32 do the math . So it's going to be 10
16:34 times seven , which is 70 divided by three .
16:43 Now let's get a calculator to convert this to a
16:46 decimal 70 divided by three is 23.3 repeating . So
16:56 that's how many cakes she can make in 10 hours
17:01 . Now let's move on . And number two ,
17:04 a certain map has the following scale one inch is
17:08 equal to 5.5 miles . If the distance between city
17:12 abc and City X , Y Z is 12.6 inches
17:16 on the map , what is the distance in miles
17:19 between the two cities ? So feel free to pause
17:24 the video and uh try that example . Now we
17:28 need to identify the problem . What is it that
17:31 we're trying to do here ? What we want to
17:35 do is were given the distance between the two cities
17:40 , which is in inches more specifically interest on the
17:44 map . We want to convert that into an actual
17:48 distance in mouse . So we want to go from
17:52 inches to mouse . But in order to do it
17:56 right or get the right answer , we need to
17:59 use the conversion factor that's given to us based on
18:05 the scale that's on the map . So for this
18:08 problem , not for other problems . One inch is
18:11 equal to 5.5 miles . So this is a one
18:14 step conversion problems . So we're given 12.6 inches .
18:20 We want to convert that to mouse . So let's
18:22 start with what we're given and then let's use our
18:29 conversion factor to complete the second fraction . So we
18:33 have inches on top , we're going to put inches
18:35 on the bottom and so my house is going to
18:36 go on top , there's a one in front of
18:39 inches and 5.5 in front of my house . So
18:45 all we need to do for this problem is multiply
18:48 12 26 by 5.5 and so we're going to get
18:57 69.3 mouse . So based on the scale that were
19:01 given this is the distance in mouse between the two
19:05 cities . Now let's talk about how we can solve
19:10 a two step conversion problem . Let's say we want
19:14 to convert from inches two yards , how can we
19:18 do so how many yards is equivalent to 180 inches
19:25 . Feel free to pause the video and try that
19:28 . So let's write down some conversion factors that we
19:32 know , we know that there's three ft in the
19:35 yard and there's 12 inches in the foot . So
19:44 these are the two conversion factors that we need to
19:47 go from inches to the arts . So we're gonna
19:49 start with inches , and then we're going to convert
19:52 that to feet using this conversion factor , and then
19:57 once we have feet we can convert feet two yards
20:01 using this conversion factor . So let's begin , let's
20:05 start with what we're given . And that is 180
20:09 inches over one next . Since we have inches on
20:13 top , we're gonna put interest on the bottom and
20:17 then we're going to put feet on top . So
20:20 using the first conversion factor , we know that there's
20:24 12 inches in a foot . So we're going to
20:27 use , we're gonna put the same numbers next to
20:30 the correspondent units . So now the units inches will
20:34 cancel . And here we have units of feet .
20:37 So now we're gonna go from feet to yards using
20:40 this one . So since we see the unit feet
20:44 on top , we're going to put feet on the
20:45 bottom , the yards on top , there's a one
20:48 in front of yards , three in front of feet
20:54 , and then we can cross out those units .
20:57 So it's going to be 180 divided by 12 .
21:02 Let's do this one step at a time . So
21:05 1 80 divided by 12 is 15 and then we're
21:09 gonna take 15 divided by three , which will give
21:13 us five . So the final answer is five yards
21:22 . Try this one , Go ahead and convert 9000
21:25 ft into kilometers . So what conversion factors do we
21:36 need in order to go from feet two kilometers first
21:40 , let's make an outline of what we need to
21:41 do because this is another two step conversion factor or
21:45 two step conversion problem . Now we know the conversion
21:48 factor that will take us from feet to mouse and
21:52 then we know the one that's gonna take us from
21:53 miles to kilometers . So we know that there's one
21:58 , well we know that one mile is equal to
22:00 5280 ft and one mile is also equal to 1.609
22:09 kilometers . So let's start with what we're given ,
22:17 were given 9000 ft , let's put that over one
22:21 . And let's use our first conversion factor to go
22:24 from feet to mouse . So 5280 ft is equal
22:32 to one mouth , so we can cross out those
22:35 units . And then let's use the second conversion factor
22:41 to go from miles to kilometers . One mouth is
22:46 equal to 1.609 kilometers . So remember divide by the
22:55 numbers on the bottom , multiplied by the numbers on
22:58 top . So it's going to be 9000 , divided
23:03 by 50 to 80 and then take that result multiplied
23:07 by 1.69 So the final answer is going to be
23:11 2.7 4 to 6 kilometers . So that's equal to
23:20 9000 ft . Here's another example . Let's convert 7500
23:27 mL , two gallants . So what are some conversion
23:34 factors that we could use here ? Well , first
23:38 , let's make an outline . We know the one
23:40 that's gonna take us from the leaders to leaders ,
23:43 and we have one that can take us from Leaders
23:45 two gallons . So for the first step we could
23:47 use this one , we know that one leader is
23:51 equal to 1000 millimeters . And for the second step
23:53 we could use the fact that one gallon is equal
23:57 to 3.785 leaders . So let's start with what we're
24:03 given . And that is 7500 mL over one .
24:10 So let's use the first conversion factor to go from
24:14 middle leaders to leaders . So we're gonna put 1000
24:16 mL on the bottom so that these units will cancel
24:21 . And then one leader on top . Now let's
24:28 use the second conversion factor to go from leaders two
24:31 gallons . So we're going to put 3.7 85 liters
24:37 on the bottom and then one gallon on top .
24:44 So now it's going to be 7500 , divided by
24:46 1000 which is 7.5 and then divide that by 3.75
24:54 . So the answer , it's equal to 1.98 gallons
25:01 . So this is an example of converting from one
25:04 unit of volume to another . So that's how you
25:07 can convert from milliliters , two gallons number three .
25:12 A book weighs £7.12 ounces . What is the mass
25:17 of the book in kilograms ? So what do you
25:20 think we need to do for this one ? Well
25:24 , we need to convert pounds , announces two kg
25:30 . So the book has a weight of £7 and
25:36 or plus 12 ounces . What we need to do
25:40 is we need to convert pounds to kilograms and then
25:44 ounces two kg and then get the sum total of
25:47 that answer and then we'll get the mass of the
25:49 book in kilograms . So let's convert pounds to kilograms
25:55 first to do that . What conversion factor do we
26:05 need ? So if you recall , one kg is
26:11 equal to £2.2 . So that's the conversion factor we
26:15 need for the first part . So let's start with
26:20 £7 over one . And then in the next fraction
26:25 we're going to put £2.2 on the bottom , one
26:29 kg on top . So here we need to divide
26:33 so it's going to be seven divided by 2.2 .
26:42 And so you get 3.18 repeating , but I'm going
26:45 around it to 3.182 kilograms . So that's the first
26:53 part . So now let's convert ounces 12 ounces ,
26:58 two kg . In this case this is a two
27:02 step process . We need to go from ounces £2
27:09 and then we can go from pounds to kilograms .
27:14 So let's start with 12 ounces . Now what is
27:22 the conversion factor between ounces and pounds ? Just looking
27:27 at the notes , we know that £1 is equal
27:31 to 16 ounces . So that's the conversion factor that
27:35 we need to use right now . So I'm going
27:39 to put 16 ounces on the bottom , £1 on
27:43 top . So now we could cancel the unit ounces
27:51 and then we could use this conversion factor to go
27:53 from pounds to kilograms . So I'm gonna put £2.2
27:57 on the bottom one kg on top . So it's
28:05 going to be 12 divided by 16 , which is
28:09 160.75 And then divide that by 2.2 , which is
28:13 0.341 kg . So £7 is equal to 3.182 kg
28:22 . 12 ounces is equal 2.341 kg . The book
28:27 weighs £7.12 ounces . So to get the mass ,
28:30 we just need to are these two numbers . So
28:34 3.182 plus 0.341 This will give us a total mass
28:40 of 3.5 23 kg . So that's the mass of
28:45 the book in this example . Now let's move on
28:49 to number four . One box can hold 28 cupcakes
28:53 , and five cups of flour are required to make
28:55 three cupcakes . How many cups of flour are required
28:58 to make enough cupcakes to fill 12 boxes . So
29:05 what do we need to do here ? Well ,
29:07 let's identify the problem first . We need to convert
29:11 12 boxes . Two , The number of cups of
29:17 flour . So I'm just gonna write cups . That's
29:22 what we're given . 12 boxes . And the question
29:24 says , how many cups of flour are required to
29:27 make enough cupcakes to fill those tall boxes ? So
29:30 we got to convert 12 boxes , two cupcakes .
29:34 Now , we need to write our conversion factors were
29:38 given the first one . One box can hold 28
29:41 cupcakes . So we're gonna write one box is equal
29:44 to 28 cupcakes . And then we have our second
29:54 conversion factor . Five cups of flour are required to
29:59 make three cupcakes . So what we're gonna do is
30:09 first we're gonna start with boxes and then we're going
30:13 to convert that to cupcakes . And once we have
30:17 cupcakes we're going to convert that two cups of flour
30:24 . So let's begin , let's start with what we're
30:26 given were given 12 boxes , We're going to put
30:30 that over one . And then we're gonna convert from
30:34 boxes , two cupcakes . So we need to use
30:37 this conversion factor so one box can hold 28 cupcakes
30:48 . And then for the second step , we need
30:51 to convert cupcakes , two cups of flour using this
30:55 conversion factor . So I'm gonna put three cupcakes on
30:59 the bottom and then five cups of flour on top
31:09 . So the unit boxes cancels as well as cupcakes
31:14 . So now we just got to do the math
31:15 . It's gonna be 12 times 28 which is 3
31:21 36 times five , which is 16 80 divided by
31:26 three . So that's 560 . So 560 cups of
31:35 flour are required to make 12 boxes each with 28
31:42 cupcakes . So that's the final answer for this problem
31:49 . Now , let's focus on the metric system .
31:52 Let's work on example , problems using the metric system
31:56 , Let's say we want to convert 38.6 millimeters to
32:02 meters . How can we use the metric system to
32:05 do this ? Now this is a one step problem
32:10 . But what we need to do is identify what
32:12 the conversion factor is . So the key word is
32:18 millie . If you recall , Millie is associated with
32:22 tents and monastery . Therefore , to write the conversion
32:25 factor , we can say one millimeter is equal to
32:28 one times 10 to minus three m . And this
32:32 step is important . We cover this early in the
32:34 video . As long as you can write the conversion
32:36 factor for the metric system , solving these problems won't
32:39 be too hard . So now we can convert .
32:44 So we're gonna start with 38.6 millimeters over one and
32:49 then we're gonna put the unit millimeters on the bottom
32:52 and then the unit meters on top . So now
33:00 we need to multiply . So here we have 38
33:04 . Let me say that again . 38.6 times one
33:07 and then times 10 to the ministry , which is
33:11 38.6 times 10 to minus three m . Now we
33:17 want to put this in proper scientific notation . So
33:22 what we need to do is we need to move
33:23 the decimal 0.1 , unit two left . We wanted
33:25 to be in front of the first two numbers .
33:28 So this is going to be 386 And whenever you
33:32 move it to the left this number is going to
33:35 increase by one . So it's gonna go from negative
33:38 32 negative two . So this right here is the
33:43 answer is 3.86 times 10 to the minus two .
33:48 And of course you can just put this in the
33:49 calculator . If you type in 38.6 times one time
33:52 since the ministry it will give you 0.386 metres ,
34:00 which is the same as 3.86 times 10 to minus
34:04 student . So hopefully you're familiar with scientific notation .
34:07 If not I do have a video on that which
34:10 will help you whatever you see things like this .
34:15 Now let's work on a two step conversion problem using
34:20 the metric system . So let's say we have 49
34:23 50 PICO meters and we want to convert that to
34:27 nanometers . Go ahead and work on this problem .
34:33 So what is the conversion factor for people ? Meters
34:36 ? We know that PICO is 10 to minus 12
34:40 , so we can say one PICO meter is one
34:43 times 10 to the negative 12 m and nano is
34:48 10 to minus nine , so one nanometer is one
34:52 times 10 to minus nine m . So those are
34:56 the two conversion factors that we need . So what
34:58 we're gonna do is we're gonna start from p kilometers
35:01 , we're going to convert it some meters and then
35:03 meters , two nanometers . So let's begin , let's
35:06 start with what we're given 49 50 p kilometers over
35:10 one . And then let's convert that two m .
35:14 So let's use this conversion factor . So we have
35:20 one PICO meter and then one times 10 to minus
35:24 12 m . So we can cross out these two
35:28 units . Now using the second conversion factor , let's
35:37 convert meters , two nanometers , so we're gonna put
35:40 meters on the bottom and then nanometers on top .
35:48 So now let's do the math first . Let's see
35:54 if we can do this mentally . Let's take the
35:58 10 to the negative nine and let's move it to
36:00 the top . By the way , one over X
36:04 to the monastery is the same as X to the
36:07 positive three . Whenever you move a variable from the
36:11 denominator numerator , the exponent changes side . So in
36:16 this case it's going to change from negative nine to
36:18 positive nine . So what we have is 49 50
36:23 times 10 to minus 12 times tends to positive nine
36:29 . Now let's review some rules in algebra rules associated
36:33 with exponents . If we multiply X to the fourth
36:36 by exit fifth , this is going to be equal
36:39 to exit a knife whenever you multiply by a common
36:43 base or to common variables , the exponents should be
36:48 added . So here the common bases 10 and we're
36:53 multiplying them . So we're going to add negative 12
36:56 and nine which will give us negative three . So
36:59 what we have now is 49 50 times 10 to
37:03 the negative three . And of course we have the
37:06 units nanometers . Now we need to put this in
37:10 proper scientific notation form , so we're gonna move the
37:15 decimal three units to left . We want the dismal
37:18 to be between the first to non zero numbers .
37:23 So here's some things you want to keep in mind
37:25 whenever you need to move the decimal and whenever you're
37:28 adjusting the exponents , if you move the decimal two
37:31 left the export on 10 increases . If you move
37:35 the decimal to the right , the exported on 10
37:37 decreases . So since we moved it three units alef
37:42 , we're going to add 32 negative three , so
37:45 we're going to get 4.95 times tends to zero and
37:50 anything raised zero power is one , so 4.95 times
37:55 one is just 4.95 So this is our final answer
37:59 is simply 4.95 nanometers and you can take this in
38:04 your calculator . If you type in 49 50 times
38:06 one times 10 to minus 12 and then divided by
38:10 one times 10 to minus nine , you're going to
38:13 get 4.95 So this is the right answer .
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