How to Arrange Numbers in Decreasing Order?

We can arrange numbers in descending order for various types of numbers.

1. Integers
2. Negative Numbers
3. Fractions
4. Decimals

Now let’s learn about arranging these numbers in descending order in detail.

Integers in Descending Order

The integers are the group of numbers containing both positive and negative numbers including zero. The integers are easily arranged in descending order by following the basic rule,

• Positive numbers are greater than Zero(0) and Negative integers are less than Zero(0).
• Positive numbers are always greater than negative numbers.
• Positive numbers in integers are compared normally and arranged in descending order.
• Negative numbers are arranged in ascending order after taking the absolute values of the given function and applying the negative sign changes the number in descending order.

Let’s arrange in descending order as, -7, -9, -23, 11, 5, 0.

11 > 5 > 0 > -7 > -9 > -23

Negative Numbers in Descending Order

Negative numbers follow the following rules and can be easily arranged in descending order,

• Negative numbers are arranged in descending order by first taking the absolute values of these numbers and then arranging the same in ascending order.
• Then we put the negative sign to get the required series in Descending order.

This can be understood with the example as, arrange -11, -45, -32, -23 in descending order

-11 > -23 > -32 > -45

Fractions in Descending Order

Fractions are arranged in decreasing order by first making all the fractions like fractions and then arranging these on the basis of their numerator.

This can be understood with the example as, arrange 1/6, 2/3, 5/12, 7/4 in descending order.

Given fractions are changed into like fractions by making the denominators of the fractions equal.

LCM of 6, 3, 12, 4 = 12

• 1/6 = 2/12
• 2/3 = 8/12
• 5/12 = 5/12
• 7/4 = 21/12

Then in descending order, they are arranged as,

21/12 > 8/12 > 5/12 > 2/12

Decimals in Descending Order

Decimals are arranged in descending order by following the steps discussed below,

• Whole number part of the number is compared in the case of the decimals for arranging them in descending order, i.e.

Suppose we have to compare 7.8 and 8.1 then we only compare the whole number part, as 8 > 7, so 8.1 > 7.8

• Now, if the whole number part is equal then we compare the decimal part one by one as,

7.890 and 7.891 here, 7.891 > 7.890

Descending Order is the arrangement of numbers in a sequence such that the next number is always smaller than the previous number. It is also called decreasing order.

Let’s learn how to arrange numbers in the Descending Order with the help of examples.