Do you know what arranging numbers means? Ordering numbers is nothing but placing or keeping the numbers in the right order. Arranging is a word that is not only used in mathematics but we also use it in our routine in different situations. If you are looking for an article that will help you organize the numbers quickly, then you have come to the right place.
Here we will discuss how to arrange the numbers and different ways of arranging them, and the steps to follow when arranging the numbers. You will also get some examples of arranging numbers in ascending and descending order to quickly learn the concept. So, without further delay, let's dive into the following sections.
- Ascending order or descending order
- Order decimals
How do you order numbers?
Numbers can be arranged in two ways. The numbers can be arranged from smallest to largest or from largest to smallest. We can simply say that numbers arranged in ascending or descending order of their values are called an arrangement of numbers. We arrange the numbers as a series of rows, sequences, patterns, etc. For example, let's see an example of an image to represent numbers from 1-20 in the following order.
Arrange numbers in ascending order
The arrangement of numbers from smallest to largest is called ascending order. You can see the arrangement of the numbers from left to right on the number line. It sorts the values from smallest to lowest or from smallest to highest. The earliest number is first in the list.
It is also known as increasing order. To arrange the numbers in ascending order, we use commas and the less-than symbol ‘<' for representation. For example, the single digit numbers are in ascending order, like 1, 2, 3, 4, 5, 6, 7, 8, 9. Let's represent these numbers in ascending order through pictures for easy understanding.
Arrange numbers in descending order
Descending order is the opposite of ascending order. The procedure we follow in descending order is the opposite procedure of arranging numbers in ascending order. Here we rank the numbers from highest number to lowest or largest value to smallest value. The highest number is written first and the lowest number last.
To represent descending order, we use commas or greater than the symbol ">'. It is also known as descending order. For example, we take the single digit numbers as 9 > 8 > 7 > 6 > 5 > 4 > 3 > 2 > 1. Now look at the following image with numbers arranged in descending order for easy understanding.
Steps to follow when arranging numbers
We will follow some basic steps to arrange the numbers in ascending or descending order, these steps will help us in solving or arranging the row of numbers in order.
Step 1: The first step is to notice and count the numbers. The smallest number of digits is the smallest number and write that number first in a sequence. Next, compare the other values in order and write in ascending or ascending order.
step 2: If the digits are the same, start comparing from left to right and write the smaller number first. If the left digits are equal at the same place values, go to the next place value.
step 3: Continue the process until we get the smallest numbers, then write the numbers in ascending order.
Important points to remember when arranging numbers
There are certain points for arranging a series of numbers, so for a perfect solution it is necessary to memorize them. The points are as follows:
- The first value is always the smallest number in ascending order, while the first value should be the highest number in descending order.
- The set of numbers should always start from smallest to largest to increase the order.
- The set of numbers in descending order should always start from the highest to the lowest value.
- The last value must be the largest in ascending order and the last value must be the smallest in descending order.
Using these rules and key points, we've created some examples to quickly learn the concept.
Examples of sorting the numbers | Examples of arranging numbers
Example 1:Arrange the numbers in ascending order
32, 65, 16, 92, 75, 28
First count the digits of the given numbers. The digits given have the value of the same digits.
Now let's compare the digits from left to right to arrange the numbers in ascending order.
Arrange the numbers by place values.
Thus, the ascending order for a given set of numbers is16 > 28 > 32 > 65 > 75 > 92.
Arrange the numbers in descending order
23, 452, 6, 5841, 34, 8, 256
First count the digits of the given numbers.
Here we have different types of digits. Order the digits from one digit to four digits.
Numbers with one digit are 6 and 8
Numbers with two digits are 23 and 34
Numbers with three digits are 452 and 256
Numbers with four digits are 5841
So first compare the single digit numbers i.e. 8>6 and the two digit numbers i.e. 34>23 and the three digit numbers are 452>256 and then lastly we have a four digit number i.e. 5841.
Now arrange the numbers in descending order, ie.5841, 452, 256, 34, 23, 8, 6.
Write the following numbers in ascending order
5621, 56418, 427, 5261, 5387
First count the digits of the given numbers
The digits consist of three-digit, four-digit, and five-digit numbers, so let's compare the place values from left to right to find the smallest numbers.
427 is the smallest three-digit number. We need to put the number first in a sequence.
The four digit numbers are 5621, 5261, 5387. The thousands digits are the same for comparison. So we move to the nearest hundreds for the smallest number.
Now compare the hundreds digits and then arrange them in ascending order.
5621, 5261, 5387 also 5261 < 5387 < 5621.
There is only one five-digit number, namely 56418.
Therefore, write the numbers in ascending order
427 < 5261 < 5387 < 5621 < 56418.
FAQs on how to arrange numbers
1. Why should numbers be arranged in an order?
Arranging numbers is the basic math skill that students learn from elementary school. When we arrange the numbers in the right order, it helps children to use or perform simple math operations. It also builds number sense for kids and this benefits them when they compare the numbers. However, the number line makes it easy for children to arrange the numbers in ascending or descending order.
2. How do you arrange the numbers for negative numbers?
Ordering numbers for negative integers can be difficult for students. The basic trick to remember when arranging negative numbers in ascending order is that the highest number with a minus sign (-) is the smallest number. For example -5, -2, -7, -10. Here the smallest value is -10 and the largest value is -2. Finally arrange them in ascending order i.e. -10, -7, -5, -2.
3. How can you arrange the decimals?
Decimal numbers are also arranged by comparing the digits from left to right. First we compare the non-decimal part, if the digits in the non-decimal part are the same, then we go to the decimal part and compare accordingly with the place values from left to right. For example, 0.36 and 0.45, the non-decimal part of the digits are the same, so compare the decimal part with the tens place, i.e. H. 3 < 4. Therefore 0.36 < 0.45.
How do you arrange numbers in ascending and descending order? ›
Ascending order is the arrangement of numbers from the smallest to the largest. For example, the following numbers are in ascending order: 3, 15, 28, 49. Descending order is an arrangement of numbers from the largest to the smallest. For example, the numbers 45, 32, 26, 12 are arranged in descending order.How do you arrange ascending order numbers? ›
Ascending order means to arrange numbers in increasing order, that is, from smallest to largest. To arrange numbers in any order, we first need to compare them.How do you arrange numbers in descending order? ›
If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In other words, if the numbers are arranged from the largest to the smallest number, it is said to be in descending order.What is ascending and descending order meaning? ›
Descending order means the opposite of ascending order. It means the process of arranging numbers so that they are going from the largest to the smallest. Descending means “going down”, so descending order means that the numbers are going down.What is 10 example of ascending order? ›
Ascending Order. The numbers 12, 5, 7, 10, 1, 160 arranged in ascending order are 1, 5, 7, 10, 12, 160. The people below are arranged in ascending order of height (from left to right).What is ascending order for example? ›
Arranged from smallest to largest. Increasing. Example: 3, 9, 12, 55 are in ascending order.Is descending order up or down? ›
Descending order means that a group of numbers, dates, words, etc, have been arranged from largest to smallest. “Descending” means “going down”. The largest number goes on the left, and the smallest goes on the right, with the other numbers arranged in the middle from largest to smallest.What is descending order mean? ›
Descending order of numbers refers to arranging numbers in decreasing order, from the largest to the smallest.Is ascending order A to Z? ›
Same rules apply for the letters of the alphabet. When arranging them in ascending order they are arranged from A to Z – or beginning to end. When it comes to dates, ascending order would mean that the oldest ones come first and the most recent ones last.