﻿ Definition and examples ascending order | define ascending order - algebra - Free Math Dictionary Online

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=""><>

Solved Example on Ascending order

Ques: 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=""><>

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="">< 148.="">
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