Thursday, December 10, 2009

Some example problems I can't get please help answer?

5) Evaluate the following and write the answer with the correct number of significant figures.



a) 97.881+4.2502+0.99195



b) 171.5+72.915-8.23



c) 1.00914+0.87104+1.2012



d) 21.901-13.21-4.0215



6) With out actually performing indicated operation tell how man significant digits the final answer should have.



a) (90.196)(0.08215)(295)/1.1



b) (4.215+3.991+2.442/0.22



c) (7.881)(4.224)(0.00033)/2.997



d) (6.219 + 2.03)/3.1159



7) Perform the following conversions and show conversion factors used.



a) 32 seconds to minutes



b) 2.4lb to kilograms



c) 2.4lb to grams



d) 3150feet to miles.



e) 14.2 inches to feet.



f) 22.4 g to kilograms



g) 9.72mg to grams



h) 2.91m to yards



8) The United states has a high speed trains running between Boston and NYC that run up to 160miles?hour . Are these trains faster than the one in the UK that run up to 225km/hour?



9) Make the following temperature conversions.



a) 22.5 C to Kelvins



b) 444.9K to C



c) 0C to Kelvins



d) 778 C to Kelvins



Some example problems I can't get please help answer?tickets



Oh, wow! You just literally asked us to do your homework for you...



Okay, I'll do several and you do several we can both do this if we put our "mind" to it!



#5) I'm going to guess that you know how to add and your only problem here is "significatn figures" scared you off. Don't be scared! It's all good. There's a set of rules for determining the significant figures and the one for addition and subtraction says the following:



"When adding or subtracting, the number of decimal places in the answer is equal to the number of decimal places in the value with the smallest number of decimal places"



i.e. you have:



2.54 + 2.146 = 4.686 (this is the number you should get when you add these two values)



But since the problem says to determine the answer to the correct significant figures you want to look at both values you added and look for the one that has the least numbers after the decimal place: 2.54 (has two after the decimal) and 2.146 (has 3 values after the decimal place) therefore you would say that you want round your answer to this sum of these two values up to two values after the decimal place.



Then you would say that instead of saying your answer is 4.686, it is 4.67. :)



Now, let's get started on the problem:



a) 97.881+4.2502+0.99195 --here you see that the value with the least number after the decimal is 97.881 so you will round your answer to three places after the decimal point.



Answer = 103.123 (notice I didn't write any of the values after the "3" because we only want to round up to three pts after the decimal)



b) 171.5+72.915-8.23 = 236.185 (BUT, look at the 171.5, it only has 1 value after the decimal so you want to round your answer to this problem up to ONE value after the decimal point only!!) So we must have 236.2.



I hope that you understand this portion now.



#6) Okay, for this one you will also need the significant figure rule for multiplication and division because it is different from the rule for addition/subtraction:



"When values are multiplied or divided, the number of significant figures in the answer is equal to the number of significant figures in the quantity with the smallest number of significant figures"



i.e. you have:



2.44 * 3.456 = 8.43264



You must look at the two values: 2.44 has 3 significant figures %26amp; 3.456 has 4 significant figures -YOU WANT TO ROUND YOUR ANSWER OFF SO THAT IT RESEMBLES THAT OF THE LEAST SIGNIFICANT FIGURES.



Your answer will be 8.43 (3 significant figures)



Another example:



8.50 / 2.518 = 3.3756949...



The 8.50 has 3 significant figures while the 2.518 has 4 significant figures and therefore you want to round your answer off to have only 3 significant figures (because that is the smallest "sig-fig"



Now that I have explained to you the multiplication/division rule you should be able to work out this problem with ease:



a) (90.196)(0.08215)(295)/1.1



Okay, think of it as if you were to work the problem. First you will multiply and then you will divide. Alright least significant figures, think about it. Okay, 1.1 has only 2 significant figures. My answer will only have 2 significant figures.



b) (4.215+3.991+2.442)/0.22



Alright you will add the values on the top in the parenthese (just imagine it, don't actually do it) so since I added those values and the one with the least values away from the decimal place is 3 after the decimal pt so that means I will divide a value with 3 numbers away from the decimal by a value of 0.22 (which has two significant figures). When dividing I know I have a value from the numerator that has 4 significant figures and then I have a value in the denominator with only 2 significant figures. When dividing I want the smallest sig figs so I want my answer to have 2 sig figs.



d) (6.219 + 2.03)/3.1159



You added the top and the answer of those two added together will be something like #.## (because the value with the least values after the decimal place is 2.03 so you want to round the asnwer up to two places after the decimal). then you divide and you're dividing by a value with 5 sig figs (wow! much bigger than 3 sig figs from the numerator). So your answer will have only 3 sig figs because that is the least sig figs and you are dividing you have to abide by those rules for multiplicaton/division with sig figs.



You should be able to do "c".



#7) Okay, I will not convert all of these but I will show you how to do it. You should be able to find some sort of conversion factor on google.com:



a) 32 seconds to minutes



So in other words, 32 seconds = ?? minutes.



Well, you should already know that 1 minute = 60 seconds because there is 60 seconds in a minute. So now set up this problem so that you cancel out seconds and have your answer in minutes:



32 seconds x (1 minute / 60 seconds) = ??



You see that the seconds units cancel out because one is in the numerator while the other is in teh denominator which leaves you with minutes and you just solve the division problem. 32/60 = 0.5333.. minute



b) 2.4lb = ?? kg



Given the fact that: 1 lb = 0.4536 kg



2.4 lb x (0.4536 kg / 1 lb) = 1.089 kg



Notice that lb cancels out leaving you with kg in units.



c) 2.4lb = ?? g



Given the fact that: 1 lb = 453.592 g



2.4 lb x (453.592 g / 1 lb) = 1088.621 g



You should be able to see that all I am doing is searching for the conversion factor and then putting them where I see that units will cancel...this works everytime!



d) 1350 ft = ?? miles



1 ft = 0.0001894 miles



1350 ft x (0.0001894 miles / 1ft) = 0.25569 miles



e) 14.2 in = ?? ft



1 in = 0.08333 feet



f) 22.4 g = ?? kg



g) 9.72 mg = ?? g



h) 2.91 m = ?? yards



For f) - h) go to www.google.com --%26gt; type in the search bar: convert __ to __ --%26gt; click search --%26gt; it will spit out the conversion factor for you at the very top below the search bar in BOLD BLACK LETTERS



#8) For this question they just gave you the values in different units so if you converted one to the same unit as the other you will be able to compare the values (whichever value is fine...as long as you get them into teh same unit):



Okay so you have 160 miles / hr. (US)



Convert 225 km / hr to miles / hr:



-This is already in units of hrs so you only have to convert km to miles (mi).



1 km = 0.62137 miles



225 km/hr x ( 0.62137 mi / 1 km ) = ??? mi/hr



Compare the two values which is larger? The larger value is obviously the one traveling fastest.



#9) Okay here is a bit more information you should learn as well:



Kelvin (K) = Celsius (C) + 273.15



And similarly,



Celsius (C) = Kelvin (K) - 273.15



a) 22.5 C = ?? K



You're given Celsius and you want to solve for Kelvin:



Kelvin (K) = 22.5 + 273.15 = 295.65 K



You should be able to do the rest.



I hope this helps! These things are important so I suggest you memorize this! Please be sure to look through everything and make sure you understand! Good luck!



Love,



Mary



Some example problems I can't get please help answer?ballet opera theater



Toooo many questions all at once.



For 6) the number of significant figures of a result will be the smallest number of significant figures in the numbers used to calculate the result.

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