The following worksheets will help your students practice placing numerical values in the correct order.

Before you order a series of decimal values you must first evaluate each value individually and then compare all the values. We would start by looking at the tenths place. The tenths place that has the largest number, is the greater value. There will be many times when two values will have the same exact tenths place. In this case, move to next place value in line which is the hundredths column and evaluate those numbers for each value. If they are the same, move on to the next place value (thousandths). You will continue this on until you have one value great than the one next to it. Once you have compared the values, you would order them least to greatest, unless you are instructed differently. This collection of worksheets has students compare the relative values of decimal numbers. This really comes down to students understanding the meaning of place values. I would definitely start off by reviewing place value with students and show them that every successive move to the left is a ten times increase and vice versa on the move to the right. We not only have them compare the values of decimals, we also ask them to order the values from least to greatest. Numbers may be a mix of whole numbers, decimals, and fractions. These worksheets provide a variety of opportunities for students to practice of comparing and ordering whole numbers, fractions, and decimals from the tenths to the thousandths.



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Putting Decimals in Order Lesson

Putting Decimals in Order Lesson

This worksheet provides step-by-step instructions on how to compare decimals and put them in ascending order. It includes two practice problems.

Ordering Decimals Worksheet

Ordering Decimals

Students will practice ordering decimals from smallest to largest. Ten problems are provided.

Comparing Decimals Worksheet

Comparing Decimals

Students will compare two decimals and indicate which is the largest. There are ten practice problems. You just need to use symbols to make your comparison.

Smallest to Largest Worksheet

Smallest to Largest

This worksheet explains the process of ordering numbers. Students will solve six practice problems ordering an assortment of decimals and whole numbers.

Ordering Whole Numbers Worksheet

Ordering Whole Numbers and Decimals

Presented with four different values, students will compare them and write then compose them in ascending order. The values range from whole numbers to decimals in the thousandths.

Quick Review Worksheet

Quick Review: Ordering Numbers

This worksheet provides students an opportunity to practice comparing and ordering numbers. Problems include greater than/less than and placing values in both ascending and descending order.

Ordering Decimals and Fractions Worksheet

Ordering Decimals and Fractions

Students must convert fractions to decimals in order to compare and order three numbers in a series. This worksheet includes an explanation and two practice problems.

Ascending Order Worksheet

Placing Numbers in Ascending Order

In each problem, students will compare and order three numbers. Numbers are an assortment of fractions and decimals to the tenths and hundredths.

Least to Greatest Worksheet

Ordering from Least to Greatest

Each problem presents three numbers: an assortment of fractions and decimals to the tenths and hundredths. Students will compare and order the numbers.

Comparing and Ordering Worksheet

Comparing and Ordering Mixed Format Numbers

Each problem provides students with an opportunity to compare a series of three numbers and put them in ascending order. Includes an assortment of whole numbers, fractions, and decimals to the tenths and hundredths.

Place In Order Worksheet

Place In Order

Students will put ten sets of three numbers in order from least to greatest. Numbers are a mix of fractions and decimals.

Mixed Numbers Worksheet

Putting Mixed Numbers in Order

This worksheet provides three practice problems. Students will compare three assortments of numbers that include fractions and decimals to the hundredths.

How to Compare and Order Decimal Numbers

Decimal numbers represent a whole number and its parts. 5 is a whole decimal number, 5.5 is a whole and part of a decimal number, while 0.5 is just a part of a whole number.

Moving to the left of the decimal point are place values represented as powers of ten, starting from ones, tens, and hundreds, moving to thousands, and more. Place values to the right of the decimal point show the fractional part of the ten’s power. They start from tenths and go on to hundredths, thousandths, and ten-thousandths.
Refer to the chart to see a few decimal numbers:

  • 3.2 in decimal value is three and two tenths
  • 19.87 is nineteen and eighty-seven hundredths
  • 0.004 is four thousandths
  • 70.0984 is seventy and nine hundred eighty-four ten-thousandths

Decimal numbers have comparison and ordering properties.

Comparing decimals means establishing which decimal has a larger value and which one has a smaller value.

Ordering decimals means arranging the decimals in order, starting from the smallest to the biggest or from the biggest to the smallest.

How to Compare Decimals

How can you tell which decimal is bigger among a list of five numbers? Here's how:

Start writing the numbers, keeping the decimal points in one line.

Check from the left and compare which decimal point has the largest place value.

If there are two or more numbers with equal first place value, compare the value to a spot towards the right.

If the second-place value is the same in both numbers, move one spot to the right and compare again.

Keep comparing until you find different place value digits. The biggest number will be the one with the biggest digit.

Let's consider an example to understand how to compare the decimal numbers.

Example: Which of these is the bigger number, 6.029 or 6.07.

It might look like 6.029 is the bigger number as it has more digits. Follow these steps to compare these:

Write the numbers, lining up the decimal points.

6 . 0 2 9
6 . 0 7  

Start comparing from the far left. Both digits in the one's place (the largest place value in this number) are the same. i.e., 6.

As the first place value for both numbers is the same, jump one place to the right and make your comparison.

Both numbers have 0 in the tenth place.

As the second-place value for both numbers is the same, jump one place to the right and make the comparison.

The hundredth place has 2 for the first number and 7 for the second number. As the number with the larger digit is the bigger number, and 7 > 2, hence, 6.07 > 6.029.

How to Order Decimals

Ordering decimal works almost the same way as comparing them. The only difference is that you start with the smallest number if you want to arrange the numbers in an ascending order. And start with the biggest number if you want to order the decimals in the descending order.

Let's consider an example to understand the concept.

Example:

Put these decimals in ascending order: 1.505, 1.55, 0.6

Put them in a table, or arrange to line up the decimal points:

1 . 5 0 5
1 . 5 5  
0 . 6    

Start comparing the numbers in the One's column. Two of the numbers are 1, and one of them is 0. We start with the smallest number in ascending order, so 0.6 is our first number.

Next, compare the numbers in the tenths position:

Both numbers are 5, so we will move to the numbers at the hundredth position to act as a tie-breaker.

One of the numbers in this column is 0, and the other is 5. 0 is smaller than 5, so the number with 0 at the hundredth position comes second after 0.6.

So far, 0.6, 1.505 have been arranged in the ascending order.

Now, we're left with 1.55 only. That means it is the largest number.

The final answer arranged in ascending order is: 0.6 < 1.505 < 1.55