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Compare numbers to millions
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Remember in the previous lesson you
learned how to read and write whole numbers to millions? In this lesson you will learn how to
compare
whole numbers. |
|
| million, |
hundred
thousand |
ten
thousand |
thousand, |
hundreds |
tens |
ones |
| 4, |
3 |
2 |
1, |
7 |
8 |
9 |
In the above number 4,321,789 each
digit has a different value according to its place.
4 x 1,000,000 = 4,000,000
3 x 100,000 = 300,000
2 x 10,000 = 20,000
1 x 1,000 = 1,000
7 x 100 = 700
8 x 10 = 80
9 x 1 = 9
Add
the above products to get the number in standard
form: 4,321,789.
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When
comparing two or more numbers,
it is important to remember place value.
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Step one:
Look
at the place value. Identify the ones
place in each number. |
 |
| 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. |
| Step three:
Begin at the greatest place value
(furthest to the left). Find where the digits are different and
compare the whole numbers using the
greater
than (>) or
less than (<) sign. |
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OK, let's
take an example step-by-step. |
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Step one: Fill in the oval
(O)
with the correct sign:
<,
>,
or =. |
8,239,489 O
8,238,470 |
| Step two:
Arrange the numbers one on top of the other, lining them up by place values, starting with the
one's place. (This one
is easy because both numbers have 7 places.) |
| 8, |
2 |
3 |
9, |
4 |
8 |
9 |
| 8, |
2 |
3 |
8, |
4 |
7 |
0 |
|
| Step three:
Begin at the greatest place value
(furthest to the left). Find where the digits are
different and compare. |
| 8, |
2 |
3 |
9, |
4 |
8 |
9 |
| 8, |
2 |
3 |
8, |
4 |
7 |
0 |
| same |
same |
same |
diff-
erent |
(Do NOT need
to look at these, since you have already found the
largest place that differs. |
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| Step four:
Find where the digits are different (in the thousands place)
and compare. |
Since 9
> 8 (or really 9,000 > 8,000):
8,239,489 >
8,238,470 |
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In the next lesson you
will learn how to ORDER large numbers. Are you ready for the
Lesson on
Ordering Large Numbers?
or
Practice
Comparing Large Numbers?
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