Which set is ordered from least
to greatest?
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{12/5, 5, .12,
1.2, 5/12}
-
{5, .12,
5/12, 12/5, 1.2}
-
{.12,
5/12, 1.2,
12/5, 5}
-
{5/12, 5, 1.2,
12/5, .12}
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- To begin we have whole numbers,
fractions, and decimals. We need
to rewrite each in a common form.
Since we can rewrite all of them
as decimals let's do that first.
12/5 = 2.4 (We find 12 divided
by 5.)
5 = 5.0
.12 = .12
1.2 = 1.2
5/12 = .42 (We find 5 divided
by 12 and rounded our answer to the nearest hundredth.)
- Now that each is rewritten as
a decimal we can now begin to
put them in the order that has been
requested. To help us, since our
largest place value is two places,
we may want to add a 0 at the end
of those decimals with only one decimal
place.
2.40
5.00
.12
1.20
.42
- We reread the question to be
sure that we get the correct order for
our set and it is to go from least
to greatest. In the correct order
our decimals will look like this:
.12, .42,
1.20, 2.40,
5.00
- Once again we now need to go back
to our original set of whole
numbers, fractions, and decimals to
get our final answer.
.12
= .12
.42 = 5/12
1.20 = 1.2
2.40 = 12/5
5.00 = 5
- We can see where letter C has
the same order we arrived at, {.12,
5/12, 1.2, 12/5,
5}.
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Practice
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