Ascending Order

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Definition of Ascending Order

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

Examples of Ascending Order

    example 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.

    example of Ascending Order
  • 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

Video Examples: Arrange in Descending Order.wmv


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.

    example of Ascending Order
    Choices:
    A. 123 < 137 < 146 < 148
    B. 148 < 146 < 137 < 123
    C. 146 < 123 < 137 < 148
    D. 137 < 148 < 146 < 123
    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 place.]
    Step 7: So, 123 < 137.
    Step 8:6 < 8 [Compare the digits in the ones place of the numbers 146 and 148.]
    Step 9: So, 146 < 148.
    Step 10: The ascending order of their points is 123 < 137 < 146 < 148.
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