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Ascending order refers to the increasing order arrangement of the objects, numbers or items. It means that the item is set in an order starting from the smallest and moving towards the largest number or item. Numbers on a number line are adjusted in increasing order when we count them from left to right.
The numbers can be arranged from lowest to highest by inserting commas between the numbers or else by using less-than-symbol (< sign) between numbers. For example 1, 2, 3 or 1 < 2 < 3. How many times have you puzzled yourself to find one particular file/folder/document and then uneasily searched for it among a zillion other irrelevant files? So, in general, you can fix many such problems just by arranging them in any particular order.
One way to store and present data is by placing them in a systematic increasing order. Roll numbers of students in school are one such example of this arrangement.
In this article, we will discuss ascending order, its meaning, increasing order in decimals, position integers in ascending order, and negative integers in ascending order.
Ascending Order Meaning
Ascending means increasing. Therefore if a value of any quantity/ map/ list starts from the smallest and moves towards the largest, then that becomes an ascending order. This increase can be in any way it may either involve alphabets or some sort of weights and heights, time etc. For example, we say that ‘Roll numbers of students in school are assigned in the ascending order of their names.’ therefore, roll numbers in schools are one such example of this arrangement. That was an overall grasp of the word ascending.
Example of Ascending order
Arrange the given numbers in an increasing order: 54, 49, 810, 623, 89
The smallest of these numbers is 49, and thus it comes first on the list and 810 is the biggest number up-to, so it’s also at the last. Therefore, the correct increasing order for the given numbers is: 49, 54, 89, 623, 810
What is the Increasing Order?
Ascending order is the arrangement of collection data from smallest to largest. It is also known as Increasing Order. Sometimes it is also referred to as a Non-Decreasing order.
Example of Increasing Order
Let’s consider the following numbers [6, 2, 8, 4, 0].
We know that, on the number line, these numbers are placed as:
Therefore, the numbers from above have been sorted in ascending order: 0 < 2 < 4 < 6 < 8
- The smallest value in the ascending order is always kept at the first position.
- The values must always be from least to greatest.
- One must note that the maximal or the largest value is always placed at the end.
Ascending order symbol
If we have to represent a given set of numbers in increasing order then, we either use the commas ‘,’ between two consecutive numbers or use ‘less than symbol (<)’. The usual way to order numbers from smallest to largest is with a less-than sign between them, and this simply indicates that the number on the left side of < has a lesser value than a number on the right side of the symbol. For example, 2 < 3 < 4 is increasing order
Ascending order in decimals
Decimals are numbers that consist of a whole number part and a fractional or decimal part, connected by a decimal point.
To arrange decimals in increasing order, we have to start by looking at the portion of the whole number. When one number is larger than another one, it indicates that this one is greater than the other number. For example 23.6 < 32.947 < 45.09.
If two or more decimals share the same whole number part like 2.45 and 2.09 then we check on the tenth place digit for them. Those digits here are 4 and 0. Therefore, it’s obvious that 0 < 4 so 2.09< 2.45 readily comes to mind as being a true statement here If tenth-place digits appear to be equal then hundredths places will be used for consideration etc.
Therefore, this is how we arrange decimals in a sequence from smaller to bigger numbers with their values indicated by the position they occupy on an equal basis before we can compare them together or give out their values in comparison to one another.
Fractions in Ascending Order
To arrange the given fractions in increasing order, we can follow either the below-given method. Let us divide the numerator from the denominator for all the given fractions and find their values in decimal format. Then arrange those decimals into increasing order by looking at both whole number parts as well as decimal place values.
Example: Arrange the given fractions in increasing order (from least to greatest): 1/2, 2/5, 5/6, and 3/5
Answer: The given fractions are simplified to:
1/2 = 0.5
2/5 = 0.4
5/6 = 0.83
3/5 = 0.6
Since all these decimals have 0 in the whole number part, we will be comparing digits at tenth place to arrange decimal numbers in increasing order.
By comparing the decimal position we get, 0.4 < 0.5 < 0.6 < 0.83
So, we can arrange the fractions in ascending order as 2/5 <1/2<3/5<5/6
Ascending Order of Negative Numbers
Ordering negative numbers in ascending order refers to the arrangement of given negative numbers from lowest to highest values. In terms of negative numbers, it should be noted that small number’s absolute values are greater than large number’s absolute values.
Therefore, among negative figures, the smallest number is the largest one with a negative sign.
For example: arrange the following into ascending order: -34, -56, -4
Solution: The integers provided can be arranged in ascending order as:
-56 < -34 < -4
Among these three, -4 is the greatest and -56 the least.
Ascending Order: Practice Questions
Arrange the following Decimals in Ascending order:
- 3.45, 2.89, 3.05, 2.94
- 7.12, 7.2, 7.09, 7.21
- 5.678, 5.68, 5.67, 5.6
- 12.3, 12.35, 12.25, 12.45
- 4.456, 4.465, 4.45, 4.54
- 8.99, 8.899, 8.9, 8.909
- 0.345, 0.354, 0.334, 0.343
- 6.001, 6.01, 6.1, 6.0001
Ascending Order FAQs
What is the ascending order?
A method of arranging numbers from smallest value to largest value.
What is the ascending order of 4,1,9,5?
The ascending order for the given numbers is 1,4,5,9.
How do you arrange decimals in ascending order?
To arrange decimals in ascending order, start by comparing the whole number of parts. If the whole numbers are the same, compare the tenth decimal place, then the hundredth place, and so on, until you can determine the correct order.
What should I do if two decimals have the same whole number and tenth place?
If the whole number and tenth place are the same, move to the next decimal place (hundredths, thousandths, etc.) and compare the digits. Continue this process until you find a difference that helps you arrange the numbers correctly.
