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example 2. Which is greater?

a. 2,538 or 2,438 b. 73,464 or 73,477
Solution. a. 2 5 3 8 2 4 3 8 b. 7 3 4 6 4 7 3 4 7 7

=

= =

> =
<

So, 2,538 > 2,438. So, 73,464 < 73,477.

Ascending and Descending Orders

Ascending or increasing order means writing numbers from the smallest to the greatest.

example 3. Arrange the following numbers in ascending order:

45,656; 45,352; 45,682; 45,082

Solution. First, we arrange the given numbers in the place value chart and then start

comparing.
TTh Th H T O
45,082 is the smallest number and 45,682 is the greatest number. 4 5 6 5 6

Also, 45,352 is smaller than 45,656. 4 5 3 5 2

So, 45,082 < 45,352 < 45,656 < 45,682. 4 5 6 8 2

Descending or decreasing order means writing numbers from 4 5 0 8 2

the greatest to the smallest.

example 4. Arrange the following numbers in descending order:

2,356; 45,605; 8,956; 67,897

Solution. First, we arrange the given numbers in the place value chart and then start
comparing.
TTh Th H T O
Here, two numbers 45,605 and 67,897 have 5 digits such that
2 3 5 6
67,897 > 45,605 and two numbers 2,356 and 8,956 have 4 digits,
4 5 6 0 5
in which 8,956 > 2,356.
8 9 5 6
So, 67,897 > 45,605 > 8,956 > 2,356.
6 7 8 9 7

14 Mathematics 4