** Definition of Ascending order**

- Ascending order is arranging the numbers from the smallest to the largest.

**Examples of Ascending order**

- The numbers in the above figure are in ascending order as the numbers are arranged from the least to the greatest.
- We can arrange the decimals 3.60, 2.75, 5.25 in ascending order with the help of number line.

- As the numbers in the number line are arranged from the least to the greatest, the numbers in ascending order are 2.75, 3.60, and 5.25.
- The ascending order for the data set 23, 16, 9, 2, and 30 is
**2, 9, 16, 23, and 30**as 2 < 9="">< 16="">< 23="">< 30.="">

**Solved Example on Ascending order**

The points obtained by four students in an examination are 137, 123, 148, and 146. Arrange their points in the ascending order.

Choices:

A. 123 < 137="">< 146=""><>

B. 148 < 146="">< 137=""><>

C. 146 < 123="">< 137=""><>

D. 137 < 148="">< 146=""><>

Correct Answer: A

Solution:

Step 1:When numbers are arranged from the lowest to the greatest, the order is called ascending order.

Step 2:The points obtained by four students are 137, 123, 148, and 146.

Step 3:To compare numbers, always begin with the greatest place and compare the digits.

Step 4:H T O

1 3 7

1 2 3

1 4 8

1 4 6

Step 5:All the digits in the hundreds place are same. [Compare.]

Step 6:2 < 3="">< 4="4" [compare="" the="" digits="" in="" the="" tens="">

Step 7:So, 123 <>

Step 8:6 < 8="" [compare="" the="" digits="" in="" the="" ones="" place="" of="" the="" numbers="" 146="" and="">

Step 9:So, 146 <>

Step 10:The ascending order of their points is 123 < 137="">< 146=""><>

**Related Terms for Ascending order**

- Descending Order
- Least
- Order