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Ordering Numbers to Millions
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Remember in the previous lesson you
learned how to compare large numbers? In this lesson you will learn how to
order
whole numbers when you are given a list. |
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Sometimes it is important to put a list
of numbers in descending (going down) or ascending (going up) order.
But it is easy, because you can use the same rules that you used for
comparing numbers! Let's quickly review the steps:
Step one:
Look
at the place value. Identify the ones
place in each number.
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Step two:
Arrange the numbers in vertical
(that's one on top of the other) form.
Line up the number by place values, starting with the
one's place.
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Step three:
Begin at the greatest place value
(furthest to the left), compare the digits.
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Step four:
If there is only one number that HAS that largest place value, it is
automatically the largest. Otherwise if the digits from
left to right are the same, keep going until one differs.
At that point, the one containing the larger digit is the larger
number.
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Are you confused?
That's lots of words! |
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Then let's try a chart! |
Here's the chart to
get you organized! If you need to put numbers in order,
put them in the correct place values below and then compare!
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Millions , |
Hundred-
Thousands |
Ten-
Thousands |
Thousands , |
Hundreds |
Tens |
Ones |
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Let's try one!
Put the following numbers in order, from largest to smallest.
8,567,905
8,568,890
7,899,999
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Use the
chart!!!!! |
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Millions , |
Hundred-
Thousands |
Ten-
Thousands |
Thousands , |
Hundreds |
Tens |
Ones |
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8, |
5 |
6 |
7, |
9 |
0 |
5 |
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8, |
5 |
6 |
8, |
8 |
9 |
0 |
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7, |
8 |
9 |
9, |
9 |
9 |
9 |
Now use the rules:
- Compare all three numbers in the
millions place (the largest place value in these three numbers).
- The third number is the smallest,
because 7,000,000 <8,000,000. Now we are down to two
numbers to order.
- Because the two top numbers are
the same in the next two place values, you need to go to the
thousands place, where they differ, to compare.
- Because 7,000 < 8,000
the second number is the greatest.
- So the correct order from largest
to smallest is:
8,568,890 > 8,567,905
> 7,899,999
So
remember the chart when putting large numbers in order!
Ready for
Practice?
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