3rd Grade Math: Place Value Games

Word Form

Converting Number Names to Standard Form Game

In this fun math game, kids will learn to convert number names to standard form, focusing on 3-digit numbers. It's a playful way to practice place value and number sense. By actively participating, children will confidently handle numbers up to 1,000, making learning both exciting and effective. Perfect for young math explorers!

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Word Form

Converting Word Form to Standard Form Game

In this engaging math game, kids will convert word forms into standard forms by recalling place names in 3-digit numbers. Perfect for building number sense and place value skills, this game encourages learners to apply their understanding of expanded form to find the correct answers. It's a fun way for children to practice reading and writing numbers!

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Word Form

Word Form to Standard Form Game

Join the fun of mastering place value in this engaging game! Your child will convert numbers from word form to standard form, enhancing their number sense. With a focus on understanding place names in 4-digit numbers, kids will tackle various problems, boosting their math skills while enjoying the process. Perfect for young math enthusiasts!

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Expanded And Standard Form Games

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Expanded And Standard Form

Completing the Expanded Form Game

This engaging game helps kids understand place value by completing expanded forms of 3-digit numbers. Kids will solve a set of problems that improve number sense and place value skills, working with numbers up to 1,000. It's a fun way to boost math skills and confidence. Perfect for young learners eager to explore the world of numbers. Get started now!

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Expanded And Standard Form

Finding the Missing Number in the Unit Form Game

In this exciting math game, kids will explore place value by finding missing numbers in unit form. They will work with numbers up to 1,000, developing number sense, place value, and understanding of 3-digit numbers. With plenty of practice, children will overcome common place value misconceptions and boost their math skills in a fun and interactive way.

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Expanded And Standard Form

Identifying the Expanded Form Game

Unleash the fun of learning place value with this engaging game. Kids will tackle challenges by writing 3-digit numbers in the expanded form, enhancing their number sense and understanding of place value. With varying difficulty levels, your child will gain confidence in reading and writing numbers. It's a playful way to master essential math skills!

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Expanded And Standard Form

Writing in Standard Form Game

Explore the world of numbers with this exciting game! Kids will practice writing numbers in standard form by understanding place value. They'll identify numbers from expanded forms, enhancing their number sense with 3-digit numbers. Perfect for young mathematicians, this game makes learning fun and interactive. Encourage your child to play and grow their math skills today!

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Unit Form Games

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Unit Form

Completing the Unit Form Game

This fun math game helps kids master place value by solving problems with 3-digit numbers. Kids will recall place names and work on reading and writing numbers. The game encourages students to apply their knowledge and find missing numbers, boosting their number sense. A great way to build confidence and skills while having fun. Get started now!

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All Place Value Games

Expanded And Standard Form

Converting to Standard Form Game

This exciting math game helps kids master converting numbers to standard form using place names. Young mathematicians will choose the correct answers from options, improving their understanding of place value and number sense. It's a fun way to recall place names in 3-digit numbers while practicing reading and writing numbers. Let the learning begin!

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Expanded And Standard Form

Converting Expanded to Standard Form Game

Unravel the mystery of numbers with this exciting game! Your child will convert 3-digit numbers from expanded to standard form, enhancing their place value and number sense. Perfect for clearing up misconceptions in math, this game makes learning fun and interactive. Watch your third grader enjoy as they read, write, and conquer numbers with ease!

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Expanded And Standard Form

Writing Numbers in the Expanded Form Game

This engaging math game helps kids master place value by working with 3-digit numbers. Students solve problems to find missing numbers, reinforcing their understanding of place value and number sense. It's a fun way to practice reading and writing numbers, making math enjoyable and interactive. Ideal for young learners eager to boost their math skills.

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Expanded And Standard Form

Matching to Standard Form Game

In this exciting math game, kids will match numbers to their standard form, diving into place value and number sense. By analyzing and selecting the correct options, they'll grasp the concept of place names in 4-digit numbers. Perfect for young mathematicians eager to improve their understanding of reading and writing numbers!

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Expanded And Standard Form

Expanded to Standard Form Game

This fun math game helps kids understand place value by converting expanded forms into standard forms with 4-digit numbers. Kids will tackle misconceptions and improve number sense as they practice reading and writing numbers. Perfect for third graders, this game offers a hands-on way to grasp essential math concepts while having fun!

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Place Value

Matching the Number Game

In this fun number matching game, kids will learn to match numbers accurately and understand the place value of digits in 4-digit numbers. The game focuses on reading and writing numbers, helping to build strong number sense. Perfect for young math enthusiasts, this game makes learning engaging and enjoyable. Start your math adventure today!

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Place Value

Identifying the Place Name of a Digit Game

In this exciting math game, kids will dive into the world of 5-digit numbers to understand place names. They'll tackle problems that require analyzing and choosing the correct answers from given options. As they play, they'll solidify their grasp of standard form and number sense. This game makes learning place value interactive and enjoyable!

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Place Value

Finding the Place Name Game

Uncover the excitement of learning place names in 4-digit numbers with this interactive game. Kids will explore place value by identifying digits at specific positions, enhancing their number sense. With plenty of practice, students will build confidence in reading and writing numbers. It's a playful way to grasp essential math skills and have fun!

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Place Value

Value of the Digit Game

In this exciting math game, kids will explore the value of digits in 5-digit numbers. They'll tackle fun challenges to determine the correct value of a given digit using their understanding of place value. As they play, they'll enhance their number sense and skills in reading and writing numbers. It's a great way to make learning math fun and interactive!

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Place Value

Guessing the Number Game

Join the excitement of this guessing game where kids apply place value skills to identify 3-digit numbers. By choosing the correct numbers from given options, children enhance their number sense and learn to read and write numbers effectively. This engaging activity makes math fun and interactive, providing a perfect blend of challenge and learning.

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Place Value

Building a 4-Digit Numbers Game

Embark on a math adventure to help aliens fly home by building 4-digit numbers. Adjust the numbers on their rocket ship and grasp place value concepts easily. This game offers a fun way to understand number sense and practice reading and writing numbers. Perfect for young learners eager to explore math in an engaging way!

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Place Value

Identifying the Number Game

In this exciting math game, kids will use base 10 blocks to identify numbers, enhancing their place value and number sense skills. Through visual aids, students will learn to create numbers by understanding the place value of digits in 3-digit numbers. They'll select the correct answer from given options, making learning interactive and fun!

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Place Value

Filling the Place Value Chart Game

This engaging game helps kids understand place value by solving problems with a place value chart. Children will work on identifying missing numbers in 4-digit numbers, strengthening their number sense and place value skills. With regular practice, misconceptions about place value can be easily overcome. It's a fun way to learn and grow in math!

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Place Value

Identifying Place Value of Numbers Game

Help your child master place value with this fun game! Kids will complete place value charts, understanding the place names in 3-digit numbers. They'll read and write 3-digit numbers, boosting their number sense. This game makes learning place value concepts enjoyable and interactive, ensuring your child gains confidence with numbers.

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Place Value

Choosing the Correct Value of the Digit Game

Explore the world of numbers with this exciting game! Kids will learn to identify the place value of digits in 4-digit numbers, enhancing their number sense. This interactive experience makes learning math fun and engaging, helping young mathematicians grasp key concepts with ease. Perfect for kids to practice and master place value skills while enjoying the process!

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Place Value

Making a 4-Digit Numbers Game

Join the fun in sending aliens back to their planet by mastering 4-digit numbers! This interactive game teaches kids place value and expanded form. Through active participation, children will learn to read and write numbers while boosting their number sense. Embark on this math adventure and watch as your child's skills soar!

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Place Value

Identifying the Digit at the Given Place Game

Join the fun with this interactive game where kids identify digits in 5-digit numbers. Perfect for mastering place value, it builds number sense and boosts confidence. Young learners will enjoy applying place names to numbers and improve their math skills effortlessly. A great way to make learning math exciting and enjoyable!

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Place Value

Building a Number Using Hundreds, Tens, and Ones Game

In this exciting game, kids will explore the place value of digits in 3-digit numbers by working on problems involving hundreds, tens, and ones. They'll compose numbers to help send aliens back to their home planet, making math fun and interactive. This game enhances number sense and provides a playful approach to understanding addition and subtraction within 1,000.

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Place Value

Completing the Place Value Chart Game

Join the fun in mastering place value with this engaging game! Kids will recall place names in 3-digit numbers and find missing numbers, boosting their number sense. This game turns learning into an adventure, making math both fun and effective. With regular practice, children can overcome misconceptions and gain confidence in math skills. Get started now!

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Place Value

Finding the Value of the Digit Game

Kids will enjoy finding the value of digits in 3-digit numbers with this interactive game. It focuses on place value, helping kids build number sense while having fun. The game encourages active participation, ensuring that children practice recalling place values effectively. Perfect for young math explorers, this game makes learning numbers exciting and engaging!

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Place Value

Make a Number Using Hundreds, Tens, and Ones Game

In this engaging math game, kids help little aliens return to their home planets by adjusting rocket ship numbers. They'll learn and practice place value by composing 3-digit numbers, understanding the expanded form, and mastering number sense. A fun and interactive way to learn the concept of building numbers using hundreds, tens, and ones! Enjoy the game!

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Place Value

Identifying the Place Name Game

Unlock the world of numbers by understanding place names in multi-digit numbers with this fun game! Designed for fourth graders, it offers a set of engaging problems that help kids grasp place value concepts. Your child will enjoy solving these puzzles, boosting their number sense and confidence in math. It's a playful way to learn and grow in math skills!

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Place Value

Identifying the Place Name for the Given Digit Game

Join the exciting game, kids will practice identifying place names for a given digit in 3-digit numbers. Kids will select digits (ones, tens, or hundreds) based on place value, boosting their problem-solving skills. They'll tackle numbers up to 1,000 and enhance their number sense in a playful way. Perfect for young learners looking for fun ways to boost their place value understanding!

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Place Value

Finding the Number Game

In this engaging math game, students tackle place value problems with 4-digit numbers. By solving various challenges, kids enhance their number sense and understand the importance of place value. This game encourages the application of prior knowledge and builds confidence as they read and write numbers. A perfect way to make learning math fun and interactive!

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Place Value

Finding the Missing Number in Place Value Chart Game

Unlock the fun of finding missing numbers in a place value chart! This game helps kids understand place names in 5-digit numbers while practicing reading and writing numbers. Your child will enhance their number sense as they tackle common misconceptions and build confidence in math. Enjoy a playful approach to mastering place value!

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The kindergarten math curriculum has some basic everyday math like counting and shapes. In that age, any topic should be introduced using fun math games for kids. The learning process at that age can be enhanced using kids learning games. In first grade, kids learn what is place value with ones and tens. At this level, many math aids and math manipulatives can be introduced. Gradually, they learn to imagine multi-digit numbers with higher place values. Third graders gets familiar with what is place value in their lower grades. At this level, the place value definition is applied in rounding numbers, addition, subtraction and multiplication.

Rounding Whole Numbers to the nearest Ten and using Place Values

Rounding a number is finding a more ‘friendly’ number that the given number is close to. For example, if Reena has 97 crayons in her coloring set, she has about 100. The word ‘about’ points to some kind of an estimation.

How to do this estimation?

Consider a simple example of a small hillock and a stone on that.

Suppose a stone is taken from the point A to point B through the hillock. If the stone is left anywhere between the points A and C, it will slide down to A. Similarly, if it is left anywhere between C and B, it would slide down to the point B.

Rounding a number to the nearest 10 or 100 can be similar to this.

For example, round 58 to the nearest 10.

The first step is to identify the ‘tens’ before and after the number 58. The number 58 has 5 tens and 8 ones. That is, it comes between 5 tens and 6 tens, or 50 and 60.

Consider the part of a number line from 50 to 60 and plot the number 58.

The number 58 is closer to 60 than to 50. So, it rounds up to 60.

Here, the number similar to the point C on the hillock example, the number which is exactly at the middle is 55. So, any number less than 55 would round down to 50. As a custom, the number 55 also considered to round up. That is, any number greater than or equal to 55 rounds up to 60.

Another math manipulative to teach rounding off is hundreds chart.

Round 2136 to the nearest hundred.

Since the rounding is to the nearest 100, the first step is to identify the hundreds before and after the number. The number has 2 thousands, one hundred, 3 tens, and 6 ones. Talking in terms of hundreds, the number has 21 hundreds (2 thousands are equivalent to 20 hundreds.). Thus, the hundreds before and after 2136 are 2100 and 2200 respectively. Now, consider the number line containing the numbers from 2100 to 2200. Note that a number line does not count always by ones. Here each unit of a number line can count 10. That is, the part from 2100 to 2200 is divided equally into 10 parts each of size 10, adding up to 100.

Plot the number 2136.

Since 2136 is closer to 2100 than 2200, the number rounded to the nearest hundred is 2100.

The child basically follows the place value strategies than the standard algorithm for rounding here.

The child also applies the similar logic in rounding numbers before and after operations like addition, multiplication etc in math word problems. Many place value worksheets for rounding numbers to the nearest ten as well as nearest hundred are available at SplashLearn. These place value activities can help kids with a better computational fluency.

Addition of Two- and Three-digit Whole Numbers

Children get familiar with adding two digit numbers in grade 2 using a number line as well as place value strategies.

Place Value Strategies: Consider the addition of 54 and 35. There are 5 tens and 4 ones in 54, 3 tens and 5 ones in 35. Make sure to add the digits with the same place value together. That is, 5 tens and 3 tens have to be added together to get 8 tens. Similarly, 4 ones and 5 ones add up to 9 ones. Thus, the sum is 8 tens and 9 ones or 89.

This can also be shown using base 10 blocks. Each of the addends can be shown using the tens and ones blocks and can be counted together to find the sum.

Number line: This can be done using a number line with leaps of appropriate sizes. Start with the first number 54. Since the second addend has 3 tens and 5 ones, take 3 leaps of 10 and then a leap of 5.

The mathematics behind the addition of three-digit numbers is the same, just that the calculations get a bit more complicated.

For example, to find the sum 186 + 795.

Using Base 10 Blocks: 186 has 1 hundred, 8 tens and 6 ones. 795 has 7 hundreds, 9 tens, and 5 ones.

These numbers can be expressed using base 10 blocks.

So, 186 can be represented using one hundred block, 8 ten blocks and 6 one blocks. The number 795 can be shown using 7 hundred blocks, 9 ten blocks and 5 one blocks. The addition can be performed by combining the similar blocks. There are 6 + 5 =11 ones blocks. But 10 ones would add up to a ten and would form a tens block. There are already 8 + 9 =17 tens block, adding the new one, there is 18 tens block altogether. But 10 tens blocks add up to form a hundred block, thus with 18 tens blocks, you have a hundred block and 8 tens blocks. Thus there are 7 + 1 + 1 = 9 hundred blocks. Therefore, the sum is 981.

Standard Algorithm: Algebraic calculation of this is similar to that of the two-digit ones.

The most important thing is to line up the digits that have the same place value. That is, here 6 and 5 have the same place value, hence they need to be lined up.

So, the correct alignment would be:

Now, the corresponding place values can be added to find the sum. There are 6 ones in the first number and 5 ones in the second, adding them together there are 11 ones. But, 10 ones will add up to one ten and would be moved to the next place value on the left, tens leaving only 1 one at the one’s place. Thus, the one’s place in the sum has 1 and one ten need to be added with the tens of the addends.

Continuing the process by adding the tens, there are 1 + 8 + 9 = 18 tens in the sum. Again, 10 tens make a hundred and it gets carried to the next place value, hundreds.

Adding the digits at the hundred’s place, there are hundreds in the sum.

Thus, .

Place Value Charts / Expanded Form: The addends can be written in expanded as, 100 + 80 + 6 and 700 + 90 + 5 respectively. For adding them, the corresponding place values can be added together.

Using place value chart, this can be shown as:

Addition of two- and three-digit numbers is explained in different sections in SplashMath. These math practice problems start with easy ones and slowly, in a very structured manner, move to difficult math problems.

Subtraction of 2- and 3-digit Whole Numbers

Saira is collecting money for donating to a flood relief camp. Her target is $350. She has already collected $124. How much money is required more to achieve the target?

The question is to find the amount of money that has to be added to $124 to reach $350.

Consider these numbers on a number line. The difference between 124 and 350 is the distance between the two numbers.

The child should take appropriate leaps reach from 124 to 350, using reaching friendly numbers.

Now, the leaps can be added to find the difference.

Thus, Saira has to collect $226 more to reach her target.

Subtraction by taking away the base ten blocks from the minuend is something that kids are familiar with. In grade 2 the kids have done the decomposing of tens blocks to one's blocks to perform the subtraction of two-digit numbers. The similar logic applies for 3-digit numbers as well.

Another method for doing subtraction is using place value charts. For example, find the difference 452 – 278.

Using the place value and expanded form, the two numbers can be shown as:

Note that the subtraction should be started from the right most or lowest place value, one.

Here, 8 ones cannot be taken away or subtracted from 2 ones. So, decompose one of the 5 tens from the left that leaves 4 tens in the number with 12 ones. Subtracting 8 ones from 12, the difference has 4 ones.

Now, subtract in the tens place. Since 7 tens cannot be subtracted from 4, decompose one of the hundreds.

Now, subtracting 200 from 300, the number of hundreds in the difference is 1.

Thus, .

This is exactly the same procedure followed for standard algorithm.

Like addition, SplashLearn deals with the subtraction of two- and three-digit whole numbers in different sections of education worksheets.

Multiplication using Place Value Strategies

The product of One-digit and 10: Multiplication is a repeated addition. So, when there is a product , it is as good as adding 10, three times. That is .

In a similar way, one can write:

This is easier to imagine using base 10 blocks.

The number of ten blocks equal to the multiplicand can be combined together to show the product.

On a number line, the leaps of 10 equivalent to the multiplicand will result in the product.

The numbers 10, 20, 30, etc are called multiples of 10.

The product of One-Digit and a Multiple of 10: Just like in the case of multiple of ten, a number line can be used to find the product.

For example, 330 can be shown using taking 3 leaps of 30 on a number line.

Thus, 3 30 = 90 .

The product of a one-digit number and a multiple of 10 can be simplified by taking the multiple of 10 as a product of a one-digit number and 10. That is, can be written as . The product of 20 and 10 is same as adding 10, twenty times. That results in 20 tens or 200.