This section of our website focuses on reviewing and deeply understanding the concept of place values. There is a huge diversity of how each page is presented to students. The basic concept that students learn is that each successive place value is ten greater than the last. As students learn to navigate columns it becomes pretty easy for them. We will find the sum of numbers based on their place value (ones, tens, hundreds). Students will also convert numbers from word to numeral form. Using these worksheets, students will practice the addition principle to add numbers based on their place value, and they will learn how to convert numbers in word form into numerical form.
Print Comparing Place Values Worksheets
Click the buttons to print each worksheet and associated answer key.
Positioning Place Value Sets
Learn how to add multiple numbers broken up by place values together. Example: 700 + 30 + 3 = ____
Comparing Hundreds and Ones
Given a number and a place value, underline the number that is more, then write them in the form of numbers.
Piece Together Hundreds, Tens, and Ones
You have sum values that are broken into hundreds place, tens place, and ones place. Put them together and make them one.
Comparing Places and Number Form
Underline the value that is larger and then write that value in number form.
Place Value Sum Worksheet
More work form practice on this skill find the sum of mixed ones, tens, and hundreds place values.
Comparing Place Values and Number Form Worksheet 2
For each problem, underline the larger number and then write that value in the form of a number.
How to Compare Two Numbers
Learning how to compare two numbers is a necessary skill since it can help with different math problems. There are some rules you need to follow when comparing two numbers. This can help you solve many different questions in your math class.
What does it mean to compare numbers? It means that you need to find what number is greater or smaller. This is represented by the following symbols: > and <.
Top Tip: Think of these symbols as a crocodile's jaw! It will always open toward the bigger number (prey).
Sometimes, the numbers can also be equal, and they are represented by this symbol: =
When we advance to using the decimal number system, we explore the concept of place starting from the ones place. In the decimal system the value of each digit in the number is dependent upon where it is relative to the ones place. Each successive place to the left of the ones place is ten times greater than the previous place. If we go to the right, in the other direction, each successive place is ten times less than the previous place. Since we are focused on whole numbers based on where we are in counting, the values are just increasing by ten each time we advance. In increasing place value numbers can be in ones, tens, hundreds, thousands, and even ten-thousands place. We can also easily compare the value of numbers based on the place values that are present such as all three-digit numbers are larger than all two-digit numbers because they have a hundreds place that is lacking in all two-digit numbers.
What are the Rules for Comparing Numbers?
Here are the rules you need to follow when learning how to compare two numbers:
1. First, take note of the number that has thousands in place. The number with the biggest number of thousands will be the greater number.
2. If the digits for the thousands are equal, then take a look at the hundred digits. The bigger one is greater.
3. If the hundreds are equal too, then the number with the bigger tens number is greater.
4. If the tens digits are equal too, then the number in the ones is greater too.
5. If those numbers are equal too, the numbers you are comparing are equal.
Let's Take a Look at Some Examples
1. 258 or 82: Which is smaller and which is greater?
The number with more digits is always bigger than a number with fewer digits. Since 258 has three digits while 82 only has 2, the former is bigger.
Hence, the solution is: 258 > 82 or 82 < 258.
2. 4574 or 890: Which is smaller and which is greater?
The number with more digits is always bigger than a number with fewer digits. Since 4574 has four digits while 890 only has three, the former is bigger.
Hence, the solution is: 4574 > 890 or 890 < 4574.
3. 8956 or 7845: Which is smaller and which is greater?
Here is where the rules will help you. Since both numbers have the same number of digits, you have to take a closer look at the digits to figure out which one is bigger. Start with the extreme left digit (the thousands). The 8 in 8956 is bigger than the 7 in 7845.
Hence, the solution is: 8956 > 7845 or 7845 < 8956.
4. 456 or 852: Which is smaller and which is greater?
The same applies to numbers that are in the hundreds. You need to take a look at the digits on the extreme left for number comparisons. Since 8 in the 852 is bigger than the 4 in the 456, you can deduce that the bigger number is 852.
Hence, the solution is: 852 > 456 or 456 < 852.
5. 9632 or 9412: Which is smaller and which is greater?
Now, let's take a look at this number. You can see that the number on the extreme left (the thousands) is equal. So, now, as per the rules, you have to take a look at the number in the hundreds –the digit next to the extreme left digit. Since 9 is greater than 8, you can deduce that 9632 is bigger than 9412.
Hence, the solution is: 9632 > 9412 or 9412 < 9632.
Now that you know how to compare two numbers, you can solve many mathematical problems easily.