Descending Order: Numbers, Symbol, Solved Examples

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Descending Order Symbol

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When we arrange numbers in descending order, we use “>” (greater than) symbol. Starting from the largest number we keep adding this symbol with an open end to the largest number. 

Let's consider an example for understanding. 

Arrange 3, 9, 22, 5, 17, and in descending order. 

In Descending order, we arrange the numbers as follows: 22 > 17 > 9 > 5 > 3. 

Even “,” (comma) can be written in the arrangement instead of “>”. Therefore, we can also represent the arrangement as, 22, 17, 9, 5, 3.

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Descending Order in Alphabets

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Just like numbers, we can also arrange English alphabets in descending order. In descending order, we arrange numbers from highest to lowest values. In that sense, for the Alphabet, the descending order will be arranged from Z to A. 

Note: It is advised to use “,” instead of “>” (greater than) symbol in the case of Alphabets Descending order.

Thus, if we write descending order of Alphabets will be written as: Z, Y, X, W, V, U, T, S, R, Q, P, O, N, M, L, K, J, I, H, G, F, E, D, C, B, A.

Also Read: Complex numbers and Quadratic equations

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Descending Order of Fractions

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Before arranging fractions in descending order, we must know the concept of comparison on fractions. In fractionals descending order, there are three cases. We will take examples to understand each case. 

Case 1: Common Numerator and Different Denominator

In this case, the fraction with the lowest denominator is the largest number. So, compare the denominator of each fraction and arrange them from smallest to largest denominator. 

For example, arrange 1/3, 1/5, and 1/2 in descending order. 

In descending order: 1/2 > 1/3 > 1/5. 

Common Denominator and Different Numerator

In this case, the fraction number with the greater numerator is the largest. So, compare numerators of each fraction and arrange them from the largest to the smallest numerator. 

For example, arrange 2/3, 1/3, 5/3 in descending order. 

In descending order: 5/3> 2/3 > 1/3. 

Unlike Fractions 

Those fractions that do not follow any of the above two qualities are called, unlike fractions. To arrange these fractions in descending order first, convert them to like fractions. After converting compare the numerators. The fraction with the greater numerator is the largest. Arrange them according to the numerator values.

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Things to Remember

• In descending order, the first number is always greater than every number.
• All numbers should be arranged from the highest to the smallest value.
• Numbers are separated by “>”. The open head must be phasing the highest number. We can also use “,” (comma) instead.
• In descending order, the last number must be the smallest number among all numbers.
• For fraction numbers, compare the numerator and denominator accordingly then arrange the fractions.

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