Because 310>308, we know that
Therefore, 0.31>0.308.
Notice what we did in converting 0.31 to a fraction—we started with the fraction
and ended with the equivalent fraction
Converting
back to a decimal gives 0.310. So 0.31 is equivalent to 0.310. Writing zeros at the end of a decimal does not change its value!
We say 0.31 and 0.310 are
equivalent decimals .
Equivalent decimals
Two decimals are equivalent if they convert to equivalent fractions.
We use equivalent decimals when we order decimals.
The steps we take to order decimals are summarized here.
Order decimals.
Write the numbers one under the other, lining up the decimal points.
Check to see if both numbers have the same number of digits. If not, write zeros at the end of the one with fewer digits to make them match.
Compare the numbers as if they were whole numbers.
Order the numbers using the appropriate inequality sign.
When we order negative decimals, it is important to remember how to order negative integers. Recall that larger numbers are to the right on the number line. For example, because
lies to the right of
on the number line, we know that
Similarly, smaller numbers lie to the left on the number line. For example, because
lies to the left of
on the number line, we know that
See
[link] .
If we zoomed in on the interval between 0 and
as shown in
[link] , we would see in the same way that
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asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
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Kamara
yes
Prince
how does the stomach protect itself from the damaging effects of HCl
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