Ordering decimals and fractions from least to greatest?

Question

Ok here is the problem...
-2, 7/8, 0.8, 2.1, 1 1/3

This is the answer I got from least to greatest/
-2, 0.8, 7/8, 1 1/3, 2.1
Is this answer right?

Next one... 0.7, -1, -5/4, 4/3, -2.3, -9/2..I haven't gotten an answer yet for that one...need help...

Next one.. 0.21, 2.3, 8/3, -0.1, -1/5, 0.2222 (forever)
Answer I got: -1/5, -0.1, 0.2222, 0.21, 2.3, 8/3 is this right?

Last one..0.3, 0.333 forever, 0.3030 forever, -0.3, -0.333 forever.
Answer I got: -0.3, 0.333, 0.3, 0.3030, 0.333.
Is this right?
Thanks so much for your time!

Answer 1

first one is correct
-9/2,-2.3,-5/4,-1, 0.7, 4/3
-1/5, -0.1, 0.21, 0.2222, 2.3, 8/3
-0.333,-0.3, 0.3, 0.3030, 0.333

Answer 2

First, you must convert these fractions to a special type of equivalent fractions (i.e. 1/2 = 2/4 or 3/6 ...). The type of fractions we are going for are called fractions of a common base. For example, if you wanted to see which of 2/5 and 1/2 was bigger, you make 2/5 = 4/10 and 1/2 = 5/10. The 1/10 here you can think of as being one unit "piece" or "thing". So then the answer boils down to--which is more: 4 things, or 5 things? Obviously, it's 5 things. The 5 things = 5/10 = 1/2, so 1/2 is the greater of the two. Those were simpler numbers, now we'll apply it the numbers you gave. There is a strategy for finding the SMALLEST common base (i.e. bottom part of the fraction) called finding the least common multiple. A simpler strategy can find a common base, though not necessarily the smallest one: simply multiply together the bases of all the numbers. Here that's 11 * 8 * 9 = 792 (for your information, this also happens to be the smallest one). Next, you multiply each of the numbers so it's now expressed in that common base. For example, to get the bottom 11 of 3/11 to become 792, you times it by 8 * 9 = 72. We also times 3 by 72 so it's still essentially the same fraction (that is, we times the original fraction by 72/72 = 1, and multiplying any number by one leaves it unchanged). Thus, we have 3/11 = 216/792, 1/8 = 99/792, and 2/9 = 176/792. This problem, like the earlier problem boils down to ranking which are biggest out of: 216, 99, and 176. It's trivially 99, then 176, and then 216. And going back, those numbers correspond to 1/8, 2/9, and 3/11. Hope that answers it for you!

Answer 3

first is correct.

-9/2, -2.3, -5/4, -1, 0.7, 4/3

It helps to put everything into proper fractions at the very least.

-9/2 = -4-1/2
-5/4 = -1-1/4
4/3 = 1-1/3

You don't even have to compare decimals and fractions.

-0.333..., -0.3, 0.3, 0.3030..., 0.333....

You only made one mistake with the first and second terms (and you left off the negative sign)

Answer 4

1) Open MS Excel or other spreadsheet tool...
2) Put your numbers in just has you have them only one number in each cell and put them one under the other and an equal sign in front...!
3) Sort the column acending. Data menu then click sort

now for fractions with whole numbers like 1 1/3 you'll need to rationalize it or what ever it's called... multiply the 1 X 3 and add the 1 (over the three) to get 4 thirds...

Answer 5

First one is right.

Second should be
-9/2 , -2.3 , -5/4 , -1 , .7 , 4/3

Third is wrong, just switch .2222 and .21

Fourth shold be
-.333 forever , -.3 , .3 , .3030 forever , .333 forever

Answer 6

yes that is correct.

The easiest way to do this is to take the fractions and turn them into decimals.

for the last one...
negative numbers are smallest. nonrepeating negative numbers are smaller than terminating negative decimals. terminating decimals are smaller than repeating ones. something that has more hundredths than another is bigger.

Answer 7

looks good!

Answer 8

Have your Mommy check it, duh! Or at least your teacher. You don't have to bring to the internet.

Answer 9

yah!!! your answers are all right!!! i've check them all..