Matt C -- Blogmeister

In algebra we are currently going over conversions and rates. For example, how many to litres to 4 gallons, and how many feet in 3 miles, etc... So today we are writing our own problem, mine is below.

Megan has 400 German Marks and wants to fly to Mexico City, Mexico, on a purple plane. She needs to find out how many pesos are in 400 german marks.

Your math class is 2 hours, how long is your math class in one day?

How I would solve this problem

2 hours/1 1day/24 hours = 2/24

We have been working on demensional analysis in Algebra lately and we had to make up our own problem. My problem was how much is 51,197 Euros in Russian Rubles? This is how you would write out the problem...(51,197 Euros/1)(1 US/0.75 Euros)(29.80 Rubles/1 US). Then you would cross out what you can...(51,197 Euros/1)(1 US/0.75 Euros)(29.80 Rubles/1 US)...which would be the 1, the 1 US, the 0.75 Euros, and the other 1 US. You then have to multiply the top numbers and you would get an answer of 1,525,670.6. Then you would multiply the bottom numbers and get an answer of 0.75. After that, you would divide the bottom number by the top...1,525,670.6/0.75=2,034,227.47. 51,197 Euros is 2,034,227.47 Russian Rubles.

Last class we had a homework assignment on unit analysis. One of the things we had to do was creat our own problem. The problem I created was "If a tree is 120 feet tall, what is it's height in miles?" To solve this you just need to convert feet into miles. (120ft)(1miles/5280feet) by doing this, this cancles out feet and leave soyu with miles so on paper you would just multiplty the top row which leaves with the answer of .0227miles.

Alex gets two tons of fan mail a week. How many ounces of fan mail does he receive a minute?

(2~~tons~~/1) (2000~~lbs~~/1~~ton~~) (16oz/~~1lb~~) ---> 64,000 ounces of fan mail a month.

(64,000oz/1~~week~~) (~~7days~~/~~1week~~) (24hrs/~~1day~~) (60min/~~1hr~~) ---> 645,120,000 ounces/min

On problem #10 on Practice #42, we were instructed to write our own creative conversion problem. My corresponding answer to this instruction read:
"The bookcase I bought at a yard sale is about 2 yards high. Approximately how tall is my bookcase in centimeters?"
In order to solve this question, you must figure out how many feet are in 2 yards, then convert the amount of feet into inches, and then into centimeters. The process will look something like this:

(2 yards)
-----------
(6 feet)

^^3 feet are in one yard, so by doubling the amount of yards and feet it would equal 6 feet in 2 yards!

(6 feet)
------------
(72 inches)

^^12 inches are in 1 foot, so by multiplying 12 by 6 (equaling 72) you would be able to figure out how many inches are in 6 feet. The answer is 72 inches in 6 feet!

(72 inches)
--------------------
(182.88 centimeters)

^^Since (approximately)2.54 centimeters are in 1 inch, you would multiply 2.54 by 72 and get an answer that equals 182.88. So… 182.88 centimeters would equal 72 inches! And there…Problem solved!

As you can see, the final product of this conversion process would be 182.88 centimeters. So by seeing the process broken down, you now know that 2 yards is equal to 182.88 centimeters!
Hope you enjoyed this little walk through about solving this particular conversation problem!
–Alli :)

If after a rain storm, a leaf let's 2 cups of water fall every second. How many gallons of water does the leaf let drop per week?
Key:
c-cups
p-pints
qt-quart
G-gallon

Set up #1:
2c/1s(1p/2c)(1qt/2p)(1G/4qts)-> 8G/16s

Steps: In this problem, our goal is to convert cups into gallons, and seconds into weeks. To start we'll convert cups into gallons. Within the problem, we are given the information that the leaf let's 2 cups of water drop per second. We'll use that information as our starting point. Once you've written that down you put in parenthesis what you know about VOLUME. You can see that I have done the same in the above set up. For example, I know that for every 1 pint there are 2 cups. After you've written that down, you'll notice that the cups are written as 2c being the numerator and 2c being the denominator. This allows us to cancel them out, so go ahead and cross out the unit. After you've done that, continue writing what you know, such as the fact that for every 1 quart, there are 2 pints. Then see that for every 1 gallon, there are 4 quarts. Again, the quarts are written in a way that allows us to cross them out because they cancel each other. At the end of your set up you should have 2c/1s(1p/2c)(1qt/2p)(1G/4qts). You should also have cups, pints, and quarts crossed out (only the units, not the numbers). When done your set up, multiply across. (2)(1)(1)(1)= 8. Since you've crossed out the correct units, gallons are left. Therefore you should have written that (2cups)(1pint)(1quart)(1gallon)= 8gallons. Now multiply the bottom portion of your set up. (1)(2)(2)(4)= 16. Again, since you've crossed out the correct units you should have seconds left. Therefore your total of your set up should be 8G/16s.

Key:
s-seconds
min-minutes
hr-hours
d-day
wk-week

Set up #2: 8G/16s(60s/1min)(60min/1hr)(24hr/1day)(7days/1wk)

After completing the set up #1 problem we ended up with 8G/16s. So far we've met our goal for converting volume. We went from having 2cups to 8gallons. Now we have to do the final converting; 16seconds to 1week. It's 16 seconds because that was our left over time from our above problem (set up #1). Now, since we have our new information, we must convert those 16 seconds into one week. When setting up the problem you should've written 8G/16s. Like before, put into parenthesis what you know about TIME. For example, we know that there are 60seconds for every 1 minute. Remember, we can cancel out seconds know because they match up. We know that there are 60minutes for every 1hour and that there are 24hours for every day. Don't forget to cancel out minutes and hours. Lastly, we know that there are 7days in 1week. After you've written down your units and filled in the correct numbers, you can multiply across. (8)(60)(60)(24)(7)-> 4,838,400. That number is our total number of gallons. So write down that 8G(60s)(60min)(24hrs)(7d)= 4,838,400G. Remember, it's gallons because that's the unit we are left with after crossing the other units out. Now multiply the bottom, (16s)(1min)(1hr)(1day)(1wk). You'll get 16. The unit we're left with is weeks. You're total should be 4,838,400G/16wks. Since we want per week, divide the denominator and numerator by the denominator (16wk) / (16wk)= 1wk. (4,838,400G) / (16wk)= 302,400G. Therefore our final outcome is 302,400G/1wk.

So for homework in math the other day, we were asked to write our own conversion problems. I am going to post my problem with the answer and an explination of how I solved it.

Problem: Convert 3,330 canadian dollars into russian rubble.

Steps: Convert canadian dollars into american dollars;
(3,330c$/1u.s.$)

(1u.s.$/.99c$)(29.80/1u.s.$)

Now, multiply the 3,330 canadian dollars with the 29.30 russian rubble;

3,330c$ x 29.80rr = 99,234

Next, you need to divide by .99c$;

99,234/ .99 = 100,236.364rr

So, you're answer is 100,236.364 russian rubble!

Hope this helps!
~Kenzie

Hello again! Right now in class we are working on Conversion problems! We are learning how to figure them out and how to write them. So I am going to give you the Conversion problem that I have made up.
Conversion problem: Today I went for a walk. I walked 15,000ft, how many miles did I walk?
how you figure this out is: (15,000ft/1) (1mi/5280ft) = (15,000/5280) = 2.8miles
What I did is you take how many feet you walk and put it over 1, then you take how many feet are in a mile (which is 5280) then you put that over 1mile and then you multiply the top and the bottom and you should get a fraction then you divide the top by the bottom and that’s how you get the answer!!

Hi again!
So, recently in Algebra class we have been working with conversions and unit analysis. On our last homework assignment, for the last problem, we had to come up with our own unit analysis question.

“If I swam 500 meters in 5.5 minutes, how many feet per second does this mean I swam?”

So, to solve my unit analysis problem, first you would need to start with the 500 meters and 5.5 minutes. This is what the problem would look like :

500 m / 5.5 min (1 min / 60 sec)

After you do this, you are done with the seconds (time) and you can leave it alone now. Next you will go on to the meters (distance) and convert this.

500 m / 5.5 min (1 min / 60 sec)(100 cm / 1 m)(1 in / 2.54 cm)(1 ft / 12 in)

Okay, now we’re done with all the conversions and this leaves us with the units we want. Feet and Seconds.

Now, we multiply :

500 m / 5.5 min (1 min / 60 sec)(100 cm / 1 m)(1 in / 2.54 cm)(1 ft / 12 in)

This gives you 50,000 / 10,058.4 4.97 feet per sec...

...and we’re done! That’s all there is to it :)
So we started with meters per minutes, and, doing all the math involved, managed to get the whole thing converted to feet per seconds.

Okay, that’s all for now!

Hello! This is addy again from Ms.J's class. In our math class we have been learning about a lot of new terms. What we are learning now is Unit Analysis. Here is an example of a problem with unit analysis. EXAMPLE:

If you are 40 years old, how many minutes old are you?

40 yrs. (365 days/1yr.) * (24hrs./1 day) * (60 min./1hr.)= 2102400 minutes old.

http://www2.franciscan.edu/academic/mathsci/mathscienceintegation/MathScienceIntegation-620.htm

Here is a link to help you learn the steps and procedures or unit analysis. The main point and step of unit analysis is to go from one unit to another. The example that I showed you and this link all will help you figure out this process.