Ascending order is arranging or placing numbers from smallest to largest. In ascending order, the numbers are in increasing order. For example, 1, 2, 3, etc are in ascending order. The reverse process of ascending order is called descending order. The decreasing order is arranging or placing numbers from largest to smallest. Examples for decreasing order are 3, 2, 1. The ascending order is represented by the less than symbol ‘<‘ where descending order is represented by the greater than symbol ‘>‘.

### Ascending Order – Definition & Symbol

Ascending order is the arrangement of numbers from the lowest to the highest. In the case of Ascending Order, the Smallest Number will be on the top of the list when sorted. To represent the order of numbers we use the symbol “<”

### Examples of Ascending Order

- For numbers or amounts, the ascending order is 5, 8, 11, 18, 23, 31.
- For words and letters, the ascending order is A, B, C, D, E……Y, Z.
- Also, for dates, the ascending order will be from the oldest dates to recent dates.

### Problems on Ascending Order

1. Arrange the below numbers in an Ascending Order

(i) 2, 14, 3, 59, 46

(ii) 25, 8, 97, 47, 3

(iii) 5, 6, 82, 31, 24

(iv) 6, 7, 35, 14, 4

(v) 24, 8, 15, 94, 119

Solution:

(i) Given numbers are 2, 14, 3, 59, 46.

Compare the values and write down the smallest number.

Write down the smallest number first, and then compare with all the remaining numbers with the same number of digits.

2, 3, 14, 46, 59.

The Ascending Order of the numbers is 2, 3, 14, 46, 59.

(ii) Given numbers are 25, 8, 97, 47, 3.

Compare the values and write down the smallest number.

Write down the smallest number first, and then compare with all the remaining numbers with the same number of digits.

3, 8, 25, 47, 97.

The Ascending Order of the numbers is 3, 8, 25, 47, 97.

(iii) Given numbers are 5, 6, 82, 31, 24.

Compare the values and write down the smallest number.

Write down the smallest number first, and then compare with all the remaining numbers with the same number of digits.

5, 6, 24, 31, 82.

The Ascending Order of the numbers is 5, 6, 24, 31, 82.

(iv) Given numbers are 6, 7, 35, 14, 4.

Compare the values and write down the smallest number.

Write down the smallest number first, and then compare with all the remaining numbers with the same number of digits.

4, 6, 7, 14, 35.

The Ascending Order of the numbers is 4, 6, 7, 14, 35.

(v) Given numbers are 24, 8, 15, 94, 119.

Compare the values and write down the smallest number.

Write down the smallest number first, and then compare with all the remaining numbers with the same number of digits.

8, 15, 24, 94, 119.

The Ascending Order of the numbers is 8, 15, 24, 94, 119.

### Descending Order – Definition & Symbol

Descending Order is the arrangement of numbers from the highest to the lowest. Descending Order is the Contradictory of Ascending Order. Here Numbers are arranged from bigger to smaller. The number that is largest among the sorted list will fall at the top of the Descending Order List and the Smallest Number will be at the Last. It is denoted by the symbol ‘>’.

### Examples of Descending Order

- For numbers or amounts, the descending order is 31, 23, 18, 11, 8, 5.
- For words and letters, the descending order is Z, Y, X, W……B, A.
- Also, for dates, the descending order will be from the recent dates to the oldest dates.

### Problems on Descending Order

1. Arrange the below numbers in an Descending Order

(i) 2, 14, 3, 59, 46

(ii) 25, 8, 97, 47, 3

(iii) 5, 6, 82, 31, 24

(iv) 6, 7, 35, 14, 4

(v) 24, 8, 15, 94, 119

Solution:

(i) Given numbers are 2, 14, 3, 59, 46.

Compare the values and write down the highest number.

Write down the highest number first, and then compare with all the remaining numbers with the same number of digits.

59, 46, 14, 3, 2.

The Descending Order of the numbers is 59, 46, 14, 3, 2.

(ii) Given numbers are 25, 8, 97, 47, 3.

Compare the values and write down the highest number.

Write down the highest number first, and then compare with all the remaining numbers with the same number of digits.

97, 47, 25, 8, 3.

The Descending Order of the numbers is 97, 47, 25, 8, 3.

(iii) Given numbers are 5, 6, 82, 31, 24.

Compare the values and write down the highest number.

Write down the highest number first, and then compare with all the remaining numbers with the same number of digits.

82, 31, 24, 6, 5.

The Descending Order of the numbers is 82, 31, 24, 6, 5.

(iv) Given numbers are 6, 7, 35, 14, 4.

Compare the values and write down the highest number.

Write down the highest number first, and then compare with all the remaining numbers with the same number of digits.

35, 14, 7, 6, 4.

The Descending Order of the numbers is 35, 14, 7, 6, 4.

(v) Given numbers are 24, 8, 15, 94, 119.

Compare the values and write down the highest number.

Write down the highest number first, and then compare with all the remaining numbers with the same number of digits.

119, 94, 24, 15, 8.

The Descending Order of the numbers is 119, 94, 24, 15, 8.

### FAQs on Ascending or Descending Order

**1. What does Ascending Order mean?**

When the Numbers are arranged in increasing order i.e. from smallest to largest then they are said to be in Ascending Order.

**2. What does Descending Order mean?**

Descending Order or Decreasing Order is the way of arranging numbers from biggest to smallest.

**3. What are the signs used to represent Ascending Order and Descending Order?**

Ascending order is denoted by the ‘<‘ (less than) symbol, whereas descending order is denoted using the ‘>’ (greater than) symbol.