The Least to Greatest Calculator is a free online tool that displays the list of numbers from the smallest to the greatest. STUDYQUERIES’s online least to greatest calculator tool makes calculations faster and easier. The numbers are displayed in ascending order in a fraction of a second.
How to Use Least to Greatest Calculator?
To use the least to greatest calculator, follow these steps:
- Step 1: Enter the numbers in the input field
- Step 2: Click the “Solve” button to get the results
- Step 3: The output field will display the ordered list of numbers from the least to the greatest
Least to Greatest Calculator
How to Order the Numbers from Least to Greatest?
It is often necessary to organize values in order to explain them to other people or simply to make sense of them. By now, students should have a good understanding of how to order positive integers from least to greatest. As students begin to work with fractions, decimals, and negative numbers, or a mixture of all three, there is a little confusion.
Students are encouraged to always ensure that all values are in the same notation system before proceeding. Remember that the more negative a value is, the further it moves to the left on a number line. Students will learn how to order rational numbers from this article.
The set of numbers is arranged in two ways in Mathematics. The numbers can be arranged either in ascending or descending order. Ascending order refers to the arrangement of the numbers from the smallest to the largest. These numbers are arranged in increasing order. If the first number is less than the second number, then ascending order is used.
It is called descending order when numbers are arranged from greatest to least. Numbers in this order are decreasing. The first number should be greater than the second.
What is Ascending Order?
The process of arranging the numbers from smallest value to largest value is called ascending order in mathematics. The numbers are arranged in ascending order from left to right. Putting English alphabets from A to Z is a real-life example of ascending order.
Ascending means going up. As a result, in mathematics, if the numbers go up, they are arranged in ascending order.
Other terms used for ascending order are:
- Lowest value to highest value
- Bottom value to Top value
Note: It is not necessary that the numbers are arranged in ascending order, in a pattern.
Ascending Order Symbol
The less than symbol indicates ascending order
$$\Huge{\boldsymbol{\color{red}{\lt}}}$$
For example, \(1 \color{red}{\lt} 2 \color{red}{\lt} 3 \color{red}{\lt} 4 \color{red}{\lt} 5 \color{red}{\lt} 6 \color{red}{\lt} 7 \color{red}{\lt} 8 \color{red}{\lt} 9\)
These numbers are listed in ascending order from \(1\ to\ 9\).
In the arrangement, the symbol indicates that the succeeding number is greater than the preceding number.
Ascending order represents numbers from lowest to highest, whereas descending order represents numbers from largest to smallest.
Examples of Ascending Order
Some of the examples of numbers arranged in ascending order are given below:
$$1 \color{red}{\lt} 2 \color{red}{\lt} 3$$
$$10 \color{red}{\lt} 11 \color{red}{\lt} 12 \color{red}{\lt} 13$$
$$43 \color{red}{\lt} 55 \color{red}{\lt} 78 \color{red}{\lt} 98 \color{red}{\lt} 101$$
$$100 \color{red}{\lt} 1000 \color{red}{\lt} 10000$$
$$-10 \color{red}{\lt} -9 \color{red}{\lt} -8 \color{red}{\lt} -7$$
Ascending Order On Number Line
Students of Class 1 are introduced to the concept of ascending order in primary school. Students can understand the increasing order of numbers by using a number line.
In the above number lines numbers from \(-6\ to\ 6\) are arranged in ascending order. It states that numbers on the left side of \(0\) are smaller than the numbers on the right side of \(0\). As we move left to right on the number line, the value of numbers increases.
How to Arrange Numbers in Ascending Order?
The numbers must first be compared and then arranged in ascending order in order to be arranged in ascending order.
Different numbers can be arranged here, such as:
- Integers
- Negative numbers
- Fractions
- Decimals
Arranging Integers in Ascending Order
As we know integers are numbers that can be \(negative,\ positive,\ or\ zero\). However, they are not fractions. We will arrange positive integers in ascending order.
- Compare the number of digits in each number
- The smallest number is the one with fewer digits
- The biggest number is the one with the most digits
- Compare the leftmost digits of the numbers if the number of digits is the same
- All the numbers should be compared in the same way and arranged from smallest to largest.
Example: \(2 \color{red}{\lt} 4 \color{red}{\lt} 12 \color{red}{\lt} 23 \color{red}{\lt} 451 \color{red}{\lt} 541\)
Negative Numbers In Ascending Order
In the beginning, students may find it challenging to arrange negative numbers. As soon as they understand the logic, it will be very easy for them to arrange the numbers in ascending order.
If a bigger number is having a negative sign, then it becomes the smallest value. For example, \(3\) is greater than \(2\), but \(-3\) is smaller than \(2\).
Similarly, a two-digit negative number is smaller than a single-digit negative number.
$$-43 \color{red}{\lt} -8$$
$$-50 \color{red}{\lt} -25 \color{red}{\lt} -10 \color{red}{\lt} -1$$
Numbers in French – The Ultimate Guide
Fractions In Ascending order
In order to determine the ascending order of fractional numbers, two methods are used. Both methods will produce the same result.
Method 1:
- Step 1: To convert fractions to decimals, first convert the fractions into decimal numbers.
- Step 2: Determine the increasing order of the decimal numbers.
- Step 3: Replace the decimal values with their fractional equivalents.
Method 2 :
- Step 1: Find the \(L.C.M\) of the denominators.
- Step 2: Divide the \(L.C.M\) value by the denominator of the fraction.
- Step 3: Multiply both the numerator and denominator of the fraction by the result of step 2.
- Step 4: As a result of step 2 and step 3, compare the like fractions.
- Step 5: Since both fractions have the same denominators compare their numerator values.
- Step 6: Arrange the fractions in increasing order of their respective fractions given in the problem.
Decimals in Ascending Order
Check which decimal has the smallest part of a whole number before ordering the list of decimal numbers. Arrange the decimals in increasing order of the whole number part.
In cases where the whole number part of two or more decimals is the same, arrange the decimals according to the decimal part after the decimal point.
Example: \(1.2 \color{red}{\lt} 2.3 \color{red}{\lt} 3.5 \color{red}{\lt} 3.6 \color{red}{\lt} 3.8 \color{red}{\lt} 4.3\)
Ascending Order Of Alphabets
As with numbers, you can also arrange alphabets ascendingly or descendingly.
For example :
$$a \color{red}{\lt} b \color{red}{\lt} c \color{red}{\lt} d \color{red}{\lt} e \color{red}{\lt} f \color{red}{\lt} g \color{red}{\lt} h \color{red}{\lt} i \color{red}{\lt} j \color{red}{\lt} k \color{red}{\lt} l \color{red}{\lt} m \color{red}{\lt} n \color{red}{\lt} o \color{red}{\lt} p \color{red}{\lt} q \color{red}{\lt}\\ r \color{red}{\lt} s \color{red}{\lt} t \color{red}{\lt} u \color{red}{\lt} v \color{red}{\lt} w \color{red}{\lt} x \color{red}{\lt} y \color{red}{\lt} z$$
(For small alphabets).
In the case of descending order, you can reverse the order of the alphabets.
What is 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.
In simple words, descending order is defined as an arrangement in the \(highest\ to\ lowest\ format\). These concepts are related to decimals, numbers, fractions, or amounts of money.
As an Example of Descending Order \(24, 20, 18, 12, 7\) are arranged in descending order. This is also known as decreasing the order of numbers.
Descending Order Symbol
The symbol used to represent the order in descending form is
$$\Huge{\boldsymbol{\color{red}{\gt}}}$$
It shows the given sequence in increasing to decreasing order. For example numbers from 1 to 10 can be represented in this form using the descending symbol.
$$10 \color{red}{\gt} 9 \color{red}{\gt} 8 \color{red}{\gt} 7 \color{red}{\gt} 6 \color{red}{\gt} 5 \color{red}{\gt} 4 \color{red}{\gt} 3 \color{red}{\gt} 2 \color{red}{\gt}1$$
Descending Order Alphabet
As we know descending order means to go from biggest to smallest. In alphabets from \(A\ to\ Z\), the descending order will be from \(Z\ to\ A\).
Therefore, the descending order of alphabets (when we assign the numerical value for alphabets) can be written as
$$Z \color{red}{\gt} Y \color{red}{\gt} X \color{red}{\gt} W \color{red}{\gt} V \color{red}{\gt} U \color{red}{\gt} T \color{red}{\gt} S \color{red}{\gt} R \color{red}{\gt} Q \color{red}{\gt} P \color{red}{\gt} O \color{red}{\gt} N \color{red}{\gt} M \color{red}{\gt} L \color{red}{\gt} K \color{red}{\gt} J \color{red}{\gt}\\ I \color{red}{\gt} H \color{red}{\gt} G \color{red}{\gt} F \color{red}{\gt} E \color{red}{\gt} D \color{red}{\gt} C \color{red}{\gt} B \color{red}{\gt} A$$
You could be asked to arrange numbers, be it whole, real, fractions, or decimals in descending or ascending order. Below are some example questions from the descending order concept which will help you to get through with this concept.
Descending Order Examples
\(\mathbf{\color{red}{Arrange\ the\ given\ numbers\ in\ descending\ order:\ 99,\ 101,\ 54,\ 87,\ 49,\ 34,\ 107,\ 89,\ 09,\ 16}}\)
To arrange the given numbers in descending order, place them from largest to the smallest number as shown below:
$$107 \color{red}{\gt} 101 \color{red}{\gt} 99 \color{red}{\gt} 89 \color{red}{\gt} 87 \color{red}{\gt} 54 \color{red}{\gt} 49 \color{red}{\gt} 34 \color{red}{\gt} 16 \color{red}{\gt} 09$$
\(\mathbf{\color{red}{Arrange\ the\ given\ numbers\ in\ descending\ order:\ 3^2 ,\ 5^2,\ 4^2,\ 6^2}}\)
$$3^2 = 3 \times 3 = 9$$
$$5^2 = 5 \times 5 = 25$$
$$2^4 = 2 \times 2 \times 2 \times 2 = 16$$
$$6^2 = 6 \times 6 = 36$$
The numbers are arranged in descending order: \(36, 25, 16, 9\)
$$6^2 > 5^2 > 4^2 > 3^2$$
\(\mathbf{\color{red}{Five\ kids\ empty\ their\ piggy\ bank.\ These\ are\ the\ amounts\ of\ coins\ each\\ one\ had\ in\ their\ piggy\ banks:\ Rs.\ 110,\ Rs.\ 450,\ Rs.\ 50,\ Rs.\ 80,\ Rs.\ 76}}\)
Write this amount of money in descending order. The amount of money in from highest to lower order is:
\(Rs.\ 450,\ Rs.\ 110,\ Rs.\ 80,\ Rs.\ 76,\ Rs.\ 50\)
\(\mathbf{\color{red}{List\ the\ following\ dates\ in\ descending\ 0rder:\\ 3rd\ Jan\ 2018,\ 7th\ May\ 2018,\ 1st\ Jan\ 2018}}\)
The descending order dates for the given list are:
\(7th\ May\ 2018,\ 3rd\ Jan\ 2018,\ 1st\ Jan\ 2018\)
\(\mathbf{\color{red}{Arrange\ the\ following\ numbers\ in\ descending\ order:\\ 9,\ 8,\ 2,\ 7,\ 3,\ 6,\ 4,\ 5,\ 11,\ 90,\ 32,\ 56,\ 78,\ 34,\ 76,\ 23,\ 65,\ 1,\ 54,\ 98,\ 53,\ 30}}\)
The numbers arranged in descending order for the given data:
$$98 \color{red}{\gt} 90 \color{red}{\gt} 78 \color{red}{\gt} 76 \color{red}{\gt} 65 \color{red}{\gt} 56 \color{red}{\gt} 54 \color{red}{\gt} 53 \color{red}{\gt} 34 \color{red}{\gt} 32 \color{red}{\gt} 30 \color{red}{\gt} 23 \color{red}{\gt} 11 \color{red}{\gt}\\ 9 \color{red}{\gt} 8 \color{red}{\gt} 7 \color{red}{\gt} 6 \color{red}{\gt} 5 \color{red}{\gt} 4 \color{red}{\gt} 3 \color{red}{\gt} 2 \color{red}{\gt} 1$$
FAQs
Is least to greatest up or down?
The descending order is from least to greatest, and the ascending order is from greatest to least. Numbers are ordered by comparing them to one another. It is important to write the smaller numbers before the larger numbers if we are ordering our numbers in ascending order.
Is 0.2 or 0.22 greater?
However, the distance between two consecutive numbers keeps getting smaller. In fact, it gets 10 times smaller each time. So 0.222 is 10 times closer to 0.22 as 0.22 is to 0.2, and so on.
What is the example of least to greatest?
Your list should start with the smallest number and end with the largest number. The other numbers should be listed in ascending order in between. The numbers from least to greatest are, for example, 11.47, 12.45, 12.457. You can also write them using the less than a symbol: 11.47 < 12.45 < 12.457.
Which list orders the numbers from least to greatest?
Ascending Order: A practice of ordering numbers from least to greatest is called ascending order.
How do you order from least to greatest in Excel?
- Select a single cell in the column you want to sort.
- On the Data tab, in the Sort & Filter group, click. to perform an ascending sort (from A to Z, or smallest number to largest).
- Click to perform a descending sort (from Z to A, or largest number to smallest).
How do you arrange a decreasing number?
Arranging numbers (or other items) in descending order means arranging them from largest to smallest. The numbers 12, 5, 7, 10, 1, 160 arranged in descending order are 160, 12, 10, 7, 5, 1. These measuring spoons are arranged in descending order of size (left to right).