ascending order


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