### Place Value Worksheets

The concept of place value is often tough for a number of young learners. We have plenty of practice to help you. We start out very basic and give you a great deal of helpful reference tables and charts. This section of our website features a wide range of skills based worksheets that explore just about every aspect of using place values to better understand the value of all different types of values.

#### Working With Values (Tens and Ones)

1. Place Value Tens and Ones - A great stepping stone for students. A great starter page for students. It focuses and guides them through tens and ones places.
2. Ones and Tens Place Value Cubes - The visual of the 3-D cubes makes it easier for students to understand the concepts. We break out the visual three dimensional cubes to represent ones and tens places. This is a fun one for students that have problems envisioning the concept.
3. Place Value to 99 Review Sheet - A deep review of all the basics of the core concept. A very deep and complete review of the ones and tens place value.
4. Know Your Place (Tens and Ones) - Identify if it's a ones or tens place. We identify the place value of an integer within a preexisting number. There are only two different possible answers in this one.
5. Write the names of the numbers (Tens and Ones) - Name the numbers. We ask students to produce the names of the given numbers now. Again all numbers are under one hundred here too.
6. Compare Physical Numbers (Ones and Tens Place Values) - You compare just the place value, not the integers themselves. This is a bit of unique greater than, less than activity. You compare the value of the places and not the total numbers.
7. Matching Names to Numbers (Ones and Tens Place) - This is a commonly tested skill. Match the names and the numbers. The numbers are ninety-nine or less.
8. Cut and Paste Order Cards (Tens and One) - A fun cooperative review activity for kids. This can be an individual or group activity. There are 3 version present in this printable. You could also mix all three versions together for even more fun.

#### Working With Larger Values (Ones to Thousands)

1. Ones, Tens, and Hundreds Ordered Place Value Cubes- The visual is a great way to introduce them to it. This one covers almost all the skills we need with place value. Including writing numbers in words and expanded format.
2. Know Your Place (Hundreds, Tens, and Ones)- Identify the places. What is the value of the underlined place. Is it a ones, tens, or hundreds place?
3. Place Value Hundreds, Tens, and Ones - This is a pretty easy one. This is a nice way to introduce the hundreds place. We have students spilt up the numbers in a methodic pattern.
4. Missing Place Value Worksheet to 100 - Insert the values to make both sides equal. This should be one of the first place sheets students work with. It's very basic.
5. Missing Place Value Worksheet to 1000 - Same as the one above, we just go a place higher. Fill in the missing integer to get equivalent numbers.
6. Write Place Values Worksheet to 1000 - Ditto from the one sheet above this. Separate numbers that are in the hundreds.
7. Compare Physical Numbers (1s, 10s, 100s) - This is outstanding for focusing students on the importance of place value. You can always use the old analogy, "Would you rather have \$100, \$10, or \$1?" That always seems to instantly click with kids.
8. Matching Names to Numbers - Not as easy as you would think for most kids. Matching names and numbers sounds easy, but 32% of national tested fourth graders did not master this skill last year.
9. Naming Numbers (Hundreds, Tens, and Ones) - We ask students to generate names. Students have to actually generate and write the names. This gives many children trouble, so tell them to not get frustrated.
10. Write Place Values Worksheet to 100 - A core skill that only 65% mastered last year. Place the correct place in the value slots. This makes a good transition for students that don't fully understand the skill.
11. Cut and Paste Order Cards (Ones, Tens, Hundreds) - A fun game you can play with a partner or yourself. 3 versions in 1. This can be a great cooperative or individual hands-on activity for you and your students. There are 3 full versions for you.

#### More Advanced Level Problems

1. Place Value Word Problems - These problems are aligned to standards. We have seen many questions like this appear on standard tests. Make sure to read very carefully.
2. What Number Are You Talking About? - This is somewhat of a puzzle worksheet. This sheet covers all the major skills you will find in this unit. We call this our mastery sheet.
3. Make the Greatest Possible Number - Rearrange the number to get the max. value. This covers multiple skills including the value of places and comparisons. I always remind students the greatest value equals the greatest numbers first (left to right).
4. Make the Smallest Possible Number - Arrange the numbers in the order that gives them the lowest overall value. Want a low value? Put the low numbers first.
5. Make Me Big! - This is a review of the two above worksheets. Arrange the numbers for the maximum or least value based on each section.

#### Expanded Form of Numbers

1. Standard to Expanded Form (Ones and Tens Places) - This is your basic introductory sheet. This is the first time that we work on expanded form. We just need to remind students that it is just reverse engineering the addition of the numbers. Wait, that sounds complicated; doesn't it!
2. Expanded to Standard Form (Ones and Tens) - Students have an easier time with this format. Kids have a very easy time going to standard form. They usually look at it as just finding the sum of the expanded form.
3. Expanded to Standard Form with Decimals - This can be tricky for some. We practice writing decimal numbers in expanded form. This is where we will lose a few students. Don't let the decimal point scare them.
4. Standard to Expanded Form (Ones, Tens, Hundreds) - We jump a place higher. We work with 100s and start writing expanded forms. The expanded form just needs to add up to equal the standard form.
5. Expanded to Standard Form (Ones, Tens, Hundreds) - When in doubt, just find the sum. Students convert expanded numbers into standard form. To them, it feels like basic addition.
6. Standard to Expanded Form with Decimals (Thousands) - This starts to get a bit cramped. You will find that most students will have difficulty with the decimal portion of this sheet. If you walk them through the first one, the second one will come with ease.
7. Writing Larger Numbers in Expanded Form Standard - This is a skill that carries into middle school. Students that work off of the first problem will have an easy time with this. It is more of a guided worksheet.

#### Working With Larger Places

1. Place Value Puzzle - We ask you to guess the numbers that we describe. We suggest that you only tackle this one after you have a solid understanding of the unit. If not, you will be lost. If you ace this one, you are good to go!
2. Missing Place Value Worksheet to 10,000 - Fill in the missing places. You need to create matching values on both sides of the equal sign.
3. Missing Place Value Worksheet to 100,000 - Same as above just a jump up in value. This one steps up the skill a bit more. We randomly mix the level of the values.
4. Place Value Worksheet to 9,999 - We ask you to name the underlined place. We move up to the thousands place and see how we do. Hopefully we do great!
5. Place Value Worksheet to 99,999 - Same as above just up in the ten-thousands. We ask you to write the actual vale in words.
6. Place Value Worksheet to 999,999 - Just under a million, but same as above. We arrive at the highest value recognized by the standards for this skill.
7. Write Place Values Worksheet to 10,000 - This is an easy, but lengthy worksheet. Place the correct values for each place on the lines. This can really get you into a rhythm.
8. Write Place Values Worksheet to 100,000 - We jump up the value. We go up to the ten-thousands place again with this sheet. We keep a standard format for students to grow into.

#### Quick Reference Helpers

1. Place Value Chart (4 places) - From thousands to thousandths, this lays it out for you. This one will help you learn your hundreds to hundreths or vice versa.
2. Place Value Chart (6 places) - A very large set of places and it includes decimals. This one covers 6 places on both sides of the decimal. A big help for middle level students.
3. Billions Whole Number Place Value Chart - We go over every major whole place value. We only work with whole numbers here. We cover every place up to a billion.
4. Where Do the Commas Go? - This is a skill we often forget about. We give you random numders of digits and ask you to place the commas in the proper place. Remember commas every three integers from the end.

#### Grade Leveled Work

1. Tens and Ones Place Chart - Grade 1
2. Number Form From Place Value - Grade 2 (easy)
3. Place Value to Hundreds Chart - Grade 2 guided
4. Rounding to the 10s and 100s Place - Grade 3
5. Round to the Nearest Place - Grade 4
6. Compare the Value of Places - Grade 4 Mastery Skill

#### Science Related Notation

1. Scientific Notation - This is the level of difficulty the basic curriculum covers under math standards. Science standards take it a bit further.
2. Irregular Scientific Notation - You usually don't see that in a lab, unless you need to re-verify data.

### Place Value Related Teacher Resources

A number of great resources for you to enjoy.

## How to Teach Students the Concept of Place Value

Math is an important subject as it's ubiquitous. No single aspect of life is complete without math. However, the basics of math are the most crucial part of learning mathematics in a way to remember and apply for a lifetime. And since math is significantly reliant on numbers, this is one of the most basic concept of math to be taught in primary classes to this day.

Keep reading to find effective strategies for teaching this concept that can help your students stay engaged in class and provide a solid base for future mathematical concepts.

What Is It?

Place value is the value of a digit relative to its position in the number. For example, the number "123" has a "1" in the hundreds place, a "2" in the tens place, and a "3" in the ones place. The value of each digit increases by a power of ten as you move to the left in the number. So, the value of the "1" in "123" is 1 x 100 = 100, the value of the "2" is 2 x 10 = 20, and the value of the "3" is 3 x 1 = 3. The place value of a number can be used to represent the number in different ways. For example, the number "123" can be represented as 1 hundred + 2 tens + 3 ones, or as 1 x 100 + 2 x 10 + 3 x 1.

Strategies for Teaching It

Teachers can do a few key things to teach this concept to their students effectively.

1. It is crucial to provide a clear and concise definition of place value. Teachers can introduce the topic with a game or colorful and interactive presentations to keep students engaged during the class.

2. Once the concept has been introduced and defined, teachers should provide ample opportunities for students to practice identifying the value of each digit within numbers. This practice can be done through various activities and games specifically designed to help students understand this concept. Teachers must ensure that students get more hands-on experience. You can also provide a worksheet for practice worksheets, like you will see above.

3. Teachers need to assess their students' understanding of place value on a regular basis. It will ensure that students are mastering this important mathematical concept. Simple classroom questions can also show which students are struggling and might need more assistance.

Activities for Teaching It

Several activities and games can be practical for teaching this concept to students. Let's take a look at those now:

Rearranging Students

Divide students divided into groups. Line up half of the students in front of the class, holding a particular number in their hand. The other half of the group has to place these students in order from least to greatest or greatest to least.

Number Lines

Another activity is to have students put numbers in order on a number line. You can play this game collectively in a classroom or provide a chance for individual practice by giving out a worksheet for place value.

Roll the Dice

Another activity is to have students roll dice and create numbers, then compare them based on their place value. This activity can help them to understand how this concept works more concretely. Such activity is perfect for pair work and can assist in practical peer evaluation.

Place Value War

This game can effectively teach this concept effectively, as they provide more fun and interactive ways for students to learn.

- To play the game, you will need a deck of cards, a whiteboard, or a piece of paper. The object of the game is to get the highest score by correctly identifying the place value of the numbers on the cards.

- To start the game, each player is dealt seven cards. The player with the highest score starts the game and plays passes to the left. On their turn, the player draws a card from the deck and places it face up in front of them. The other players then have to guess the place value of the number on the card.

- If the player guesses correctly, they score a point whereas an incorrect guess can lead to point deduction. The game continues until all the cards have been drawn. The player who scores the highest number of points wins the game.

The Importance of Teaching the Concept

Place value is the foundation of our number system; without it, we would not be able to understand or use numbers effectively. Teaching this principle to students is essential because:

Basic Number Sense

It helps students adopt the basic number sense. Students can understand the value of numbers by identifying a digit's place in the number. Students can also learn how to use these numbers correctly.

Reading and Writing Numbers

Students can learn to read and write numbers once they've grasped the grassroots concept of place value. Students can write the numbers in figures and words, learning what numbers are called out in everyday life. For instance, \$1,000 is a thousand dollars, whereas \$1,200 is commonly called twelve hundred dollars.

Count and Compare Numbers

Students can learn to effectively count the numbers and compare them with other numbers to identify which is greater and which is smaller. Students can do so by comparing the digits in each place, determining the digit's value, and ultimately showing which number is greater. For instance, 1,220 and 1,231 may have the same first two digits, but the last two digits show that the latter is greater due to 3 at tens place and 1 at ones.

Perform Basic Operations

As the levels progress, students learn basic math skills and operations such as addition and subtraction. To correctly add or subtract a number, students must understand the alignment of numbers which can be done with the knowledge of place value.

To Sum It Up

The above-discussed strategies for teaching place value can come in handy when you're struggling to keep your class engaged and attentive. Since place value in math is such a fundamental concept, students should grasp it without errors or confusion to ensure a solid base for future mathematical concepts and knowledge.

Using worksheets for place value practice can also be practical as it gives students hands-on experience. You can also arrange games in your classroom to reinforce place value concepts while evaluating students' progress.