Question

I need major help on Plotting rational numbers on a number line

Answer 1

You mean ordering fractions? You can try converting all improper fractions to mixed numbers and all fractional parts to fractions with common denominators. This will make it easier to see which ones are bigger or smaller than the others.

Answer 2

1 problem maybe a mixed number and the other number in a regular fraction.Sometimes the same bottom number and sometimes different.I dont understand it at all

Answer 3

Have you had any practice finding equivalent fractions? e.g. \[\frac{3}{5}=\frac{9}{15}\]

Answer 4

Do you know how to do short division, i.e. changing an improper fraction to a mixed number? e.g.\[\frac{22}{7}=3\frac{1}{7}\]

Answer 5

I know that much but I have trouble graphing it on a number line

Answer 6

Start with what I said at first - use equivalent fractions and short division to convert all the given numbers to mixed numbers with the same denominator.

Answer 7

convert it to decimal. zooooooooooom

Answer 8

Then you can see the range of the values and know what portion of the number line to use and how long to make it.

Answer 9

Converting to decimal requires long division which takes longer (unless you use a calculator, but then the student doesn't learn anything about the properties of numbers and the exercise is wasted.)

Answer 10

It has to be graphed as a mixed number or fraction decimal is not an accepted

Answer 11

You can use decimal fractions as an intermediate step in the ordering process, then convert it back to a mixed number, but I still think that is wasted work.
Here's an example - Let's say I have the following four numbers:
\[\frac{3}{4}, \frac{11}{2}, \frac{10}{12}, \frac{5}{3}\]
Doing the short division
\[\rightarrow \frac{3}{4}, 5\frac{1}{2}, \frac{5}{6}, 1\frac{2}{3}\]

Answer 12

Common denominator is 12, so making the equivalent fractions:
\[\rightarrow \frac{9}{12}, 5\frac{6}{12}, \frac{10}{12}, 1\frac{8}{12}\]
(n.b. this is a trivial example that doesn't really require this much work, but it shows the general process..)
Putting them in order:
\[\rightarrow \frac{9}{12}, \frac{10}{12}, 1\frac{8}{12}, 5\frac{6}{12}\]
Then just draw up a number line between 0 and 6, plot all the integers in that range, and maybe make marks at all the half-integer values, and place the numbers in their appropriate spots.

Answer 13

Like I said before I dont have a problem with the mixed numbers or fractions my problem is when it comes to placing them on the number line.There is only whole numbers visible not the fraction part

Answer 14

The placement need not be very precise. As long as you can tell if a fraction is more or less than a half, then you can just eye-ball it.

Answer 15

my homework is done on a comupter program called aleks.com

Answer 16

etc.