OpenStudy (kikuo):

https://postimg.org/image/hygqnxz4d/ Can someone help me fully understand this multiple step conversion? This is what I have so far 80m/h x 1h/60m x 1min/60sec=80m/60sec I'm not sure if that's correct, but if it is, I don't know where to go from there. I tried doing 80m/60sec x 5280ft/1m= 80x5280/1m but I got a crazy answer, and decided not to continue since I figured I was doing it wrong. I'm also confused because why at the very end are we doing 1meter/100cm? Since the conversions are going down by which one is bigger, shouldn't 1meter/100 cm be at the beginning?

10 months ago
OpenStudy (kikuo):

@mww

10 months ago
OpenStudy (jim_thompson5910):

why not simplify `80m/60sec` before you go any further? by the way, that should be 80/3600 since there are two copies of 60 being multiplied

10 months ago
OpenStudy (mww):

miles to ft to in to m is very tedious. miles to km then m is far better

10 months ago
OpenStudy (mww):

and yes as jim thompson pointed out it is 80 miles/(60 x 60 seconds)

10 months ago
OpenStudy (mathmale):

Please consider finding some other way of capturing images from your computer screen. The " https://postimg.org/image " that you're using now is primarily an advertising site, and the advertisements are NOT suitable for young students.

10 months ago
OpenStudy (kikuo):

Oh, will do. @jim_thompson5910 I don't quite understand why it should be 80/3600 yet

10 months ago
OpenStudy (jim_thompson5910):

because 60*60 = 3600 @Kikuo

10 months ago
OpenStudy (mww):

I recommend this pathway: 1) miles/hr --> miles/second (divide by 3600 since 1 hr = 60 min = 60 x 60 =3600 seconds) 2) miles/second --> km/second (multiply by 1.609 since there are 1.609 km per mile) 3) km/second --> m/second (multiply by 1000 as there are 1000m/km)

10 months ago
OpenStudy (mww):

I will note that as an Australian, I use the metric system which is much simpler for me than miles/ft/inch conversions. Americans may use imperial measures more frequently.

10 months ago
OpenStudy (kikuo):

Ha, that does seem easier, but I would like to use this pathway simply so I know that I can solve it. : )

10 months ago
OpenStudy (mww):

well it's the same deal really, just have more conversion steps (so you need to know what conversion ratios are for each step)

10 months ago
OpenStudy (kikuo):

Well, I'm lost on two things. Why is it 80/3600 is the first thing.

10 months ago
OpenStudy (kikuo):

Oh, wait, didn't see jim's post.

10 months ago
OpenStudy (kikuo):

@jim_thompson5910 Oh, I see now. Alright. That makes sense. So, now we have 80/3600 I believe I know how 80 x 5280/3600 Right?

10 months ago
OpenStudy (jim_thompson5910):

why not reduce 80/3600 first?

10 months ago
OpenStudy (jim_thompson5910):

fractions are a pain to deal with but reducing them as much as possible should make them a bit easier to handle

10 months ago
OpenStudy (kikuo):

Reducing them to make one quantity? What would the quantity unit be though? Miles? Feet? I guess you can say I haven't reduced them when converting yet because I'm not sure what it would look like 0.022x5280ft/1mile?

10 months ago
OpenStudy (jim_thompson5910):

one thing you can do is knock off a pair of 0s 80/3600 = 8/360 then you can divide each part by the GCF 8 8/8 = 1 360/8 = 45 so 8/360 = 1/45 which means 80/3600 = 1/45

10 months ago
OpenStudy (jim_thompson5910):

80 m/3600 sec = 1 m/45 sec in 45 seconds, you travel 1 meter

10 months ago
OpenStudy (kikuo):

Why could knock off the pair of 0s like that? Also without reducing this is what I have without reducing 80/3600 x 5280ft/1mile= 422,400 ft /3,600 miles x 12 in/ 1 ft= 5,068,800 in/ 3600ft x 2/54 cm/ 1=12,874,752/3600 inches x 1meter/100cm= 12,874,752 meters/360,000 cm I'm not sure if it's supposed to be 12,874,752/360,00 sec or cm I assume I divide from there

10 months ago
OpenStudy (jim_thompson5910):

it's a shortcut to divide for example 100/10 = 10/1 = 10 the right most '0' can be canceled |dw:1482371448321:dw|

10 months ago
OpenStudy (kikuo):

Oh I see. I understand now. It's like reducing 10/1000 to 1/100 I assume. Also, for my above answer, is it seconds or cm, and do I divide?

10 months ago
OpenStudy (jim_thompson5910):
10 months ago

OpenStudy (kikuo):

Oh, for the final answer, I got 12,874,752 meters/360,00 centimeters. Is this right or should the denominator be seconds? As in meters/seconds

10 months ago
OpenStudy (jim_thompson5910):

@Kikuo what's the original problem and instructions?

10 months ago
OpenStudy (kikuo):

Which is faster, going 80 miles an hour or going 40 meters per second was the original question. As for the instructions, I showed in my screenshot the path they wanted us to take to convert 80 miles/1 hour to meters/second.

10 months ago
OpenStudy (kikuo):

@jim_thompson5910

10 months ago
OpenStudy (jim_thompson5910):

ok let me look it over again

10 months ago
OpenStudy (jim_thompson5910):

ok I agree with you getting 12,874,752/360,000 you will have meters in the numerator and seconds in the denominator your screenshot shows which units will cancel an which units stay behind also 12,874,752/360,000 = 35.7632 which is what your screenshot is saying

10 months ago
OpenStudy (jim_thompson5910):

80 mph = 35.7632 meters per ssecond approximately So the answer to "Which is faster, going 80 miles an hour or going 40 meters per second?" is the "40 meters per second"

10 months ago
OpenStudy (kikuo):

@jim_thompson5910 I'm a bit confused. How did we get 35 meters per second Out of 12,874,752 meters/360,000 cm Is the denominator supposed to be seconds?

10 months ago
OpenStudy (kikuo):

@mww Since he left.

10 months ago
OpenStudy (kikuo):

Oh wait, I figured out why it was 12,874,752 meters/360,000 seconds Following the chart wrong haha Alright one last question

10 months ago
OpenStudy (mww):

the fraction is something metres / something seconds so the eventual units are metres/secon

10 months ago
OpenStudy (kikuo):

That makes sense now. Can you explain why they have 1 meter/100 cm at the end in the original picture? Since meters are bigger than feet and inches I expected 1 meter/100 cm to be further at the front, but it's at the end. Why?

10 months ago
OpenStudy (kikuo):

What I'm asking basically is why did we go from Miles to feet, feet to inches, inches to cm, and then cm to meters. I understand all of it except why we went to cm to meters.

10 months ago
OpenStudy (kikuo):

I figured it out!

10 months ago