maths place value problem solving

Problem Solving with Place Value

February 3, 2021.

Understanding place value provides the essential foundation for so many aspects of mathematics, from multiplying and dividing by powers of ten, understanding the equivalence between fractions, decimals and percentages, and learning how to write and calculate with numbers in standard form.

The videos below show how I use the place value table to teach these topics conceptually.

Writing numbers as words

Multiplying by 10, 100 and 1000

Converting between fractions, decimals and percentages

I designed this problem-solving lesson to deepen students’ understanding of place value to connect it to other aspects of mathematics, including listing permutations, odd and even numbers and money. By linking to these topics, the questions are challenging yet remain accessible to students in key stage 3 and those studying the foundation GCSE course.

The lesson consists of six problem-solving questions, all centred around place value. Here is a sample of three of the questions.

Here is a sample of three of the questions.

Linking place value to arithmetic

In this question, students link their understanding of place value to writing numbers in figures from words. Next, they use column subtraction to find the difference between two numbers.

Linking place value to permutations

In this question, students arrange the four single-digit cards to make the numbers between 230 and 430.

Students link their understanding of place value to listing permutations.

Linking place value to odd and even numbers

To work out the smallest, even number, students need to find two three-digit numbers with the least difference.

To calculate the biggest, odd number, they need to find two numbers with the greatest difference.

Both questions can be completed through a method of trial and improvement. More able students would use:

• odd + odd = even
• odd + even =odd
• even + odd = odd
• even + even = even.

Teach this lesson

Share this article….

[Sassy_Social_Share]

About Mr Mathematics

My name is Jonathan Robinson and I am passionate about teaching mathematics. I am currently Head of Maths in the South East of England and have been teaching for over 15 years. I am proud to have helped teachers all over the world to continue to engage and inspire their students with my lessons.

If you liked this you may like …

Importance of place value in mathematics.

How to teach place value conceptually.

Mr Mathematics Blog

Planes of symmetry in 3d shapes.

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.

• + ACCUPLACER Mathematics
• + ACT Mathematics
• + AFOQT Mathematics
• + ALEKS Tests
• + ASVAB Mathematics
• + ATI TEAS Math Tests
• + Common Core Math
• + DAT Math Tests
• + FSA Tests
• + FTCE Math
• + GED Mathematics
• + Georgia Milestones Assessment
• + GRE Quantitative Reasoning
• + HiSET Math Exam
• + HSPT Math
• + ISEE Mathematics
• + PARCC Tests
• + Praxis Math
• + PSAT Math Tests
• + PSSA Tests
• + SAT Math Tests
• + SBAC Tests
• + SIFT Math
• + SSAT Math Tests
• + STAAR Tests
• + TABE Tests
• + TASC Math
• + TSI Mathematics
• + ACT Math Worksheets
• + Accuplacer Math Worksheets
• + AFOQT Math Worksheets
• + ALEKS Math Worksheets
• + ASVAB Math Worksheets
• + ATI TEAS 6 Math Worksheets
• + FTCE General Math Worksheets
• + GED Math Worksheets
• + 3rd Grade Mathematics Worksheets
• + 4th Grade Mathematics Worksheets
• + 5th Grade Mathematics Worksheets
• + 6th Grade Math Worksheets
• + 7th Grade Mathematics Worksheets
• + 8th Grade Mathematics Worksheets
• + 9th Grade Math Worksheets
• + HiSET Math Worksheets
• + HSPT Math Worksheets
• + ISEE Middle-Level Math Worksheets
• + PERT Math Worksheets
• + Praxis Math Worksheets
• + PSAT Math Worksheets
• + SAT Math Worksheets
• + SIFT Math Worksheets
• + SSAT Middle Level Math Worksheets
• + 7th Grade STAAR Math Worksheets
• + 8th Grade STAAR Math Worksheets
• + THEA Math Worksheets
• + TABE Math Worksheets
• + TASC Math Worksheets
• + TSI Math Worksheets
• + AFOQT Math Course
• + ALEKS Math Course
• + ASVAB Math Course
• + ATI TEAS 6 Math Course
• + CHSPE Math Course
• + FTCE General Knowledge Course
• + GED Math Course
• + HiSET Math Course
• + HSPT Math Course
• + ISEE Upper Level Math Course
• + SHSAT Math Course
• + SSAT Upper-Level Math Course
• + PERT Math Course
• + Praxis Core Math Course
• + SIFT Math Course
• + 8th Grade STAAR Math Course
• + TABE Math Course
• + TASC Math Course
• + TSI Math Course
• + Number Properties Puzzles
• + Algebra Puzzles
• + Geometry Puzzles
• + Intelligent Math Puzzles
• + Ratio, Proportion & Percentages Puzzles
• + Other Math Puzzles

Place Value Word Problems

Read the Whole Word Problem: Firstly, read the entire word problem so you can understand it somewhat better. Then, ask yourself questions each time you’re confronted by a word problem. After that, check the work whenever you’re done.

A step-by-step guide to solving place value word problems

Here’s a step-by-step guide to solving place value word problems:

• Read the problem carefully and identify the given information: In a place value word problem, you are usually given a number or a set of numbers, along with some specific information about the digits or their positions. Read the problem carefully identify the given information, and make sure you understand what the problem is asking you to find.
• Identify the place value of the digits: The place value of a digit determines the value of the digit based on its position in the number. Identify the place value of the digits that are given or asked for in the problem. For example, if the problem involves finding the value of the hundreds place or the thousands place, make sure you know what these places are and how to calculate their values.
• Write the number in expanded form: Expanded form is a way of writing a number as the sum of its digits multiplied by its place values. Write the number in expanded form to help you visualize the value of each digit in the number.
• Perform the necessary operations: Once you have identified the given information and the place values of the digits, perform the necessary operations to solve the problem. This may involve adding, subtracting, multiplying, or dividing the digits to find the answer.
• Check your answer: After you have completed the problem, double-check your work to make sure your answer makes sense and is consistent with the problem. You can also verify your answer by using estimation or by working the problem backward.

The Absolute Best Book for 4th Grade Students

Mastering Grade 4 Math The Ultimate Step by Step Guide to Acing 4th Grade Math

By following these steps, you should be able to solve place value word problems with greater ease and accuracy.

The problem asks for a number that has 6 thousands, a number of hundreds that is 2 less than the number of thousands, a number of tens that is 1 more than the number of hundreds, and a number of ones that is 3 more than the number of thousands. What is this number?

Solution: You want to find the number 6 … … …

 2 fewer than a thousand is 4. 1 more tens than hundreds is 5. 3 more ones than thousands is 9.

So, it’s 6459.

The Best Math Books for Elementary Students

Mastering Grade 6 Math The Ultimate Step by Step Guide to Acing 6th Grade Math

Mastering grade 5 math the ultimate step by step guide to acing 5th grade math, mastering grade 3 math the ultimate step by step guide to acing 3rd grade math, mastering grade 5 math word problems the ultimate guide to tackling 5th grade math word problems, mastering grade 2 math word problems the ultimate guide to tackling 2nd grade math word problems, mastering grade 4 math word problems the ultimate guide to tackling 4th grade math word problems.

by: Effortless Math Team about 1 year ago (category: Articles )

Effortless Math Team

Related to this article, more math articles.

• 10 Most Common 3rd Grade MCAS Math Questions
• 7th Grade Scantron Math Worksheets: FREE & Printable
• The Virtual Classroom Advantage: How Online Math Tutors Enhance Elementary Math Education
• What is the Relationship Between Arcs and Chords?
• How to Estimate Negative and Positive Square Roots
• What Kind of Math Is on the CHSPE Test?
• What skills Do I need for the GED Math Test?
• Improving Your Math in College: What You Should Do
• How to Apply Limit Properties
• 6th Grade MCAS Math FREE Sample Practice Questions

What people say about "Place Value Word Problems - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.

Leave a Reply Cancel reply

You must be logged in to post a comment.

Mastering Grade 8 Math The Ultimate Step by Step Guide to Acing 8th Grade Math

• ATI TEAS 6 Math
• ISEE Upper Level Math
• SSAT Upper-Level Math
• Praxis Core Math
• 8th Grade STAAR Math

Limited time only!

Save Over 51 %

It was $29.99 now it is $14.99

Login and use all of our services.

Effortless Math services are waiting for you. login faster!

Register Fast!

Password will be generated automatically and sent to your email.

After registration you can change your password if you want.

• Math Worksheets
• Math Courses
• Math Topics
• Math Puzzles
• Math eBooks
• GED Math Books
• HiSET Math Books
• ACT Math Books
• ISEE Math Books
• ACCUPLACER Books
• Premium Membership
• Youtube Videos
• Google Play
• Apple Store

Effortless Math provides unofficial test prep products for a variety of tests and exams. All trademarks are property of their respective trademark owners.

• Bulk Orders
• Refund Policy

• 1st Grade Math
• 2nd Grade Math
• 3rd Grade Math
• 4th Grade Math
• 5th Grade Math
• 6th Grade Math
• 7th Grade Math
• 8th Grade Math
• Knowledge Base
• Math for kids

Place Value – Definition with Examples

Created: January 3, 2024

Last updated: January 10, 2024

Place Value is an essential and fundamental concept in mathematics that enables us to comprehend and work effectively with numbers. At Brighterly , we understand the importance of mastering place value for building a strong foundation in mathematics, as it plays a critical role in arithmetic operations, problem-solving, and overall number sense. In this comprehensive article, we will delve deep into place value, unraveling its various aspects and significance.

What is Place Value?

Place value is the system of attributing a value to a digit in a number depending on its position. It is a crucial concept that facilitates our ability to read, write, and comprehend numbers, making calculations more straightforward and efficient. Place value ensures that each digit in a number contributes differently based on its position. For instance, consider the number 7,548. The place value of 7 is 7,000, as it is in the thousands place; the place value of 5 is 500, as it is in the hundreds place; the place value of 4 is 40, as it is in the tens place; and finally, the place value of 8 is 8, as it is in the ones place.

Understanding place value is the cornerstone of the base-10 numeral system, which is the most commonly used number system worldwide. By learning place value, children develop a strong foundation in mathematics, enabling them to tackle more complex topics with ease. At Brighterly, we focus on teaching place value concepts in a fun and engaging manner, ensuring that children develop a clear understanding and appreciation of the importance of place value in their mathematical journey.

Place Value Worksheet PDF

Place Value Worksheet

Place Value Worksheets Free PDF

Place Value Worksheets Free

Don’t forget to use math worksheets for kids available on the Brighterly to further enhance your skills!

Place Value Chart

A place value chart is a visual representation of the positions of digits in a number. It helps us understand the value of each digit and makes it easy to compare and manipulate numbers. A typical place value chart consists of columns for units, tens, hundreds, thousands, and so on.

Place Value Meaning

The meaning of place value is the value assigned to each digit based on its position within a number. As we move from right to left, each position represents a power of 10. For example, in the number 7,651, the place value of 7 is 7,000 (7 * 10^3), the place value of 6 is 600 (6 * 10^2), the place value of 5 is 50 (5 * 10^1), and the place value of 1 is 1 (1 * 10^0). This system is essential for understanding how numbers work and for performing calculations.

Comparison Between Indian and International System

The Indian and International systems of place value differ in the way they group digits. In the Indian system, digits are grouped in pairs after the hundredth place, whereas in the International system, digits are grouped in threes. For example, the number 5,678,901 is written as 56,78,901 in the Indian system and as 5,678,901 in the International system. This difference affects the naming of larger numbers and the way they are read aloud. You can learn more about the Indian and International systems of place value by visiting this link.

Place Value for Decimals

Place value for decimals works similarly to whole numbers but extends to the right of the decimal point. Each position to the right of the decimal point represents a negative power of 10. For example, in the number 0.123, the place value of 1 is 1/10 (1 * 10^(-1)), the place value of 2 is 2/100 (2 * 10^(-2)), and the place value of 3 is 3/1000 (3 * 10^(-3)). Understanding place value for decimals is crucial for working with fractions, measurements, and other real-world quantities.

Place Value in Numbers

Place value in numbers is the cornerstone of the base-10 numeral system, which is the most commonly used number system worldwide. Understanding place value in numbers allows us to represent and manipulate numbers efficiently. For example, when we add or subtract numbers, we align them according to their place values and perform operations on corresponding digits.

Face Value in Maths

Face value is the value of a digit itself, irrespective of its position in a number. In other words, the face value of a digit is the same no matter where it appears in a number. For example, the face value of 5 in the numbers 5, 25, 354, and 5,807 is always 5.

Difference Between Place Value and Face Value

The main difference between place value and face value is that place value depends on the position of a digit within a number, while face value is the value of a digit itself, independent of its position. Place value helps us understand the overall value of a number and perform arithmetic operations, while face value is a more basic concept that shows the value of individual digits.

Solved Examples on Place Value

To better understand place value, let’s look at some solved examples:

Find the place value of 7 in the number 4,783.

In this number, 7 is in the hundreds place. So, the place value of 7 is 7 * 10^2 = 700.

Determine the place value of 2 in the number 0.023.

In this number, 2 is in the hundredths place. So, the place value of 2 is 2 * 10^(-2) = 2/100 = 0.02.

Free Printable Place Value Worksheets

Place Value Worksheets With Answers

Practice Problems on Place Value

Try solving these practice problems to test your understanding of place value:

• Find the place value of 3 in the number 3,762.
• Determine the place value of 4 in the number 0.049.
• Calculate the place value of 6 in the number 16,205.

Place value is an indispensable concept in mathematics that forms the foundation for understanding and working with numbers effectively. By mastering the intricacies of place value, students can perform arithmetic operations more efficiently, read and write numbers accurately, and develop a robust sense of number sense. At Brighterly, we emphasize the importance of place value in our curriculum, ensuring that children build a strong mathematical foundation from the very beginning.

Through our innovative teaching methods, interactive activities, and engaging content, Brighterly strives to make learning place value an enjoyable and memorable experience for our young learners. We believe that by fostering a deeper understanding of place value, we are empowering students to conquer more complex mathematical concepts with ease and confidence.

As students progress through their mathematical journey, the significance of place value becomes increasingly apparent. From basic arithmetic operations to advanced problem-solving, place value remains a vital tool that bolsters mathematical comprehension and critical thinking. It is our mission at Brighterly to equip children with the knowledge and skills necessary to navigate the fascinating world of mathematics, starting with the mastery of place value.

Frequently Asked Questions on Place Value

What is the place value of 0 in a number.

The place value of 0 in a number is always 0, no matter its position. Zero serves as a placeholder, indicating that there are no units, tens, hundreds, etc., in that position.

Why is place value important?

Place value is important because it allows us to represent and manipulate numbers efficiently. It also forms the basis for arithmetic operations, problem-solving, and overall number sense.

How is place value used in everyday life?

Place value is used in everyday life when we read and write numbers, count, measure, and perform calculations. It helps us understand the value of digits in different positions and makes it easier to perform operations like addition, subtraction, multiplication, and division.

How can I teach place value to children?

Teaching place value to children can be done through various methods, such as using base-10 blocks, place value charts, manipulatives, and real-life examples. Engaging activities and games can also help children develop a strong understanding of place value concepts.

What is the difference between place value and expanded form?

Place value refers to the value of a digit based on its position in a number, while expanded form is a way of writing a number by breaking it down into its individual place values. For example, in the number 543, the place value of 5 is 500, the place value of 4 is 40, and the place value of 3 is 3. The expanded form of this number is 500 + 40 + 3.

• Place Value Concepts – National Council of Teachers of Mathematics
• Place Value – BBC Bitesize
• Understanding Place Value – National Center on Improving Mathematics Instruction

I am a seasoned math tutor with over seven years of experience in the field. Holding a Master’s Degree in Education, I take great joy in nurturing young math enthusiasts, regardless of their age, grade, and skill level. Beyond teaching, I am passionate about spending time with my family, reading, and watching movies. My background also includes knowledge in child psychology, which aids in delivering personalized and effective teaching strategies.

Struggling with Numbers?

• Is your child having trouble understanding the concept of numbers?
• An online tutor could provide the necessary guidance.

Kid’s grade

Does your child need extra assistance with mastering numbers fundamentals? Start learning with an online tutor.

After-School Math Program

Related math, quadrilateral – definition, properties, types, faqs, examples.

Quadrilaterals are fascinating. From a simple rectangle to a complex kite, these geometric shapes have different properties and characteristics that make them fun and exciting to study. Read on to learn about the world of quadrilateral shapes, their properties, classification, and applications in real-world problems. Whether you’re a math teacher or a parent who wants […]

Intersection of Two Lines – Definition With Examples

Welcome to another exciting exploration into the world of geometry with Brighterly! Today, we delve into the concept of the intersection of two lines. Picture a bustling city with roads crisscrossing every which way. At every crossroad, a story unfolds. Now, let’s transpose this bustling city onto a piece of paper. In geometry, the ‘roads’ […]

46000 in Words

We write 46000 in words as “forty-six thousand”. This number is forty-six sets of one thousand each. If a town has forty-six thousand residents, it means it has forty-six groups of one thousand residents each. Thousands Hundreds Tens Ones 46 0 0 0 How to Write 46000 in Words? Writing 46000 in words is straightforward. […]

We use cookies to help give you the best service possible. If you continue to use the website we will understand that you consent to the Terms and Conditions. These cookies are safe and secure. We will not share your history logs with third parties. Learn More

Place Value Practice Questions

Click here for questions, click here for answers.

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

MathCircles.org

Place value problems.

Classifications

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Unit 2: Place value

About this unit.

You know that the number 123 isn't the same as the number 321, but do you really know why? In this unit on place value, we're going to explore what each digit means, how to break down numbers into their different place values, and how to compare numbers to see which is bigger or smaller.

Intro to place value

• Intro to place value: FAQ (Opens a modal)
• Intro to place value (Opens a modal)
• Use place value blocks to show numbers within 1,000 (Opens a modal)
• Place value tables within 1,000 (Opens a modal)
• Identifying value in digits (Opens a modal)
• Creating the largest number (Opens a modal)
• Place value blocks within 1,000 Get 3 of 4 questions to level up!
• Place value tables within 1,000 Get 3 of 4 questions to level up!
• Identify the value of a digit (ones, tens, hundreds) Get 3 of 4 questions to level up!
• Create the largest number Get 3 of 4 questions to level up!

Numbers in standard, word, and expanded form

• Expanded form of numbers (Opens a modal)
• Number and word form of a number (Opens a modal)
• Word form and expanded form (Opens a modal)
• Write numbers in number and expanded form Get 3 of 4 questions to level up!
• Write numbers in number and word form Get 3 of 4 questions to level up!
• Write numbers in word and expanded form Get 3 of 4 questions to level up!
• Write numbers in different forms Get 3 of 4 questions to level up!

Regroup whole numbers

• Regrouping whole numbers: 675 (Opens a modal)
• Regroup whole numbers Get 3 of 4 questions to level up!
• Hundreds, tens, and ones Get 3 of 4 questions to level up!

Comparing 2 and 3 digit numbers

• Greater than and less than symbols (Opens a modal)
• Comparing whole numbers (Opens a modal)
• Compare 2-digit numbers Get 5 of 7 questions to level up!
• Compare 3-digit numbers Get 5 of 7 questions to level up!

Even and odd numbers

• Understanding even and odd numbers visually (Opens a modal)
• Understand even and odd numbers visually Get 3 of 4 questions to level up!

Counting patterns within 1,000

• Skip-counting by 5s (Opens a modal)
• Counting by 10s (Opens a modal)
• Skip-counting by 100s (Opens a modal)
• Skip-count by 5s Get 5 of 7 questions to level up!
• Skip-count by 10s Get 5 of 7 questions to level up!
• Skip-counting by 100s Get 5 of 7 questions to level up!

Place Value – Definition with Examples

What is place value, place value chart, what is the difference between place value and face value, solved examples on place value, practice problems on place value, frequently asked questions on place value.

In math, every digit in a number has a place value. Place value can be defined as the value represented by a digit in a number on the basis of its position in the number .

For example, the place value of 7 in 3,743 is 7 hundred or 700. However, the place value of 7 in 7,432 is 7 thousand or 7,000. Here, we can see that even though the digits are the same in both numbers, their place value changes with the change in its position. 

Place Value Chart is a very useful table format that helps us in finding the place value of each digit based on its position in a number. 

The place value of a digit increases by ten times as we move left on the place value chart and decreases by ten times as we move right.  

Here’s an example of how drawing the place value chart can help in finding the place value of a number. 

In the number 13,548

1 is in the ten thousands place and has a place value of 10,000.

3 is in the thousands place and has a place value of 3,000.

5 is in the hundreds and has a place value of 500.

4 is in the tens place and has a place value of 40.

8 is in the ones place and has a place value of 8.

Understanding the place value of digits in numbers helps comparing numbers. It also helps in writing numbers in their expanded form. For instance, the expanded form of the number above, 13,548 is 10,000 + 3,000 + 500 + 40 + 8. 

Related Worksheets

Place Value Using Base Ten Blocks

The place value of digits in numbers can also be represented using base-ten blocks and can help us write numbers in their expanded form.

Before, using the base ten blocks to find the place value of each digit in a number, let us first understand what these blocks represent.

Here’s how the number 13,548 can be represented using base-ten blocks.

Decimal Place Value

Decimal numbers are fractions or mixed numbers with denominators of powers of ten . In a decimal number , the digits to the left of the decimal point represent a whole number . The digits to the right of the decimal represent the parts. As we move towards right after the decimal point, the place value of the digits becomes 10 times smaller.

The first digit on the right of the decimal point means tenths i.e. 110. The next place becomes ten times smaller and is called the hunderdths i.e. 1100 and so on. 

In 27.356, 27 is the whole number part, 2 is in tens place and its place value is 20,7 is in ones place, and its place value is 7. 

There are three digits to the right of the decimal point ,               

3 is in the tenths place, and its place value is 0.3 or 3 10

5 is in the hundredths place, and its place value is 0.05 or 5100

6 is in the thousandths place, and its place value is 0.006 or 61000

Place value and face value are not the same. The face value of a digit is the value of the digit, whereas the place value of a digit is its place in the number. In simple words, the face value tells the actual value of the digit, whereas the place value tells the value of the digit based on its position. 

Hence, the face value of the digit never changes irrespective of it’s position in the number. Whereas, the place value of the digit changes with the change in the position. 

For instance, the face value of 2 in both the numbers 283 and 823 is 2. Whereas, the place value of 2 is 200 in 283 and 20 in 823. 

•   What is the place value of 4 in the number 84,527?

The place value of 4 in 84,527 is 4000 (four thousand).

•   Write 412,397 in words using the place value system.

Four hundred twelve thousand three hundred and ninety-seven.

• Write the numbers in figures and in expanded form :
• Ten thousand two hundred and thirty-six
• Seven thousand four hundred and eighty-five
• Ten thousand two hundred and thirty-six = 10,236

= 10,000 + 200 + 30 + 6

• Seven thousand four hundred and eighty-five = 7,485

= 7,000 + 400 + 80 + 5

Place Value

Attend this Quiz & Test your knowledge.

Which digit is at the ten thousands place in the number 783,425?

Select the correct answer in standard form. $40,000 + 4,000 + 200 + 10 + 1$, what will be the place value of 8 in the number 13.86.

Why is understanding place value important?

Place value has its application in many mathematical concepts. It builds the foundation for regrouping , multiplication , etc.

What manipulatives are used to teach place value?

Manipulatives such as base-10 blocks, snap cubes, unifix cubes, beans, etc., are used to develop place value understanding.

Does the place value of a digit increase as it moves from left to right?

No. The place value of a digit decreases by 10 times as it moves from left to right.

What is the difference between the face value and the place value of a digit?

The face value of a digit is the magnitude that it possesses naturally. It is independent of the digit’s position in the number. The place value of a digit depends on its position in the number. For example, the 5 in the number 253 has a face value of 5 and a place value is 50.

RELATED POSTS

• Sixteen – Definition with Examples
• Surface Area of Pyramid: Definition, Formula, Examples
• Inverse Operations – Definition, Examples, Facts, FAQs
• Area of Trapezium – Definition, Formulas, Derivation, Facts, FAQs
• Constant Polynomial: Definition, Degree, Graph, Examples, FAQs

Math & ELA | PreK To Grade 5

Kids see fun., you see real learning outcomes..

Make study-time fun with 14,000+ games & activities, 450+ lesson plans, and more—free forever.

Parents, Try for Free Teachers, Use for Free

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Copyright   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Place Value Riddles 1st Grade to 5th Grade

Welcome to our Place Value Riddles page.

Here you will find our range of riddles with place value clues for elementary kids.

These fun riddles will help your child to develop their place value and number skills, whilst developing their problem solving and reasoning skills at the same time.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

Math Riddles

Using riddles is a great way to learn Math facts and develop place value and thinking skills in a fun and interesting way. Most children are much more engaged and motivated solving riddles than working out pages of traditional math facts. Using these math riddles below will help your child to develop their understanding of place value as well as their problem solving and reasoning skills. There are different versions of each riddle from 1st to 5th grade, so it is easy to find an easier or harder version of the same riddle. Each riddle comes complete with answers.

We hope you enjoy our free printable riddles.

Place Value Riddles

Here you will find a range of math riddles to develop your child's place value skills and number facts in a fun way.

Each riddle involves reading the clues and eliminating the incorrect answers, leaving just one answer left which satisfies all the clues.

Each riddle sheet comes complete with an answer sheet.

Using these sheets will help your child to:

• learn and develop their place value skills;
• develop their understanding of mathematical language;
• develop problem solving skills and reasoning.

1st Grade Place Value Riddles

• 1st Grade Place Value Riddle 1A
• PDF version
• 1st Grade Place Value Riddle 1B
• 1st Grade Place Value Riddle 1C

2nd Grade Place Value Riddles

• 2nd Grade Place Value Riddle 2A
• 2nd Grade Place Value Riddle 2B
• 2nd Grade Place Value Riddle 2C

3rd Grade Place Value Riddles

• 3rd Grade Place Value Riddle 3A
• 3rd Grade Place Value Riddle 3B
• 3rd Grade Place Value Riddle 3C

4th Grade Place Value Riddles

• 4th Grade Place Value Riddle 4A
• 4th Grade Place Value Riddle 4B
• 4th Grade Place Value Riddle 4C
• 4th Grade Place Value Riddle 4D

5th Grade Place Value Riddles

• 5th Grade Place Value Riddle 5A
• 5th Grade Place Value Riddle 5B

Decimal Place Value Riddles

As well as having place value riddles for whole numbers, we also have some riddles for decimals.

These riddles are suitable for 4th and 5th grade and are a great way to practice using and applying knowledge of place value with decimals.

4th Grade Decimal Place Value Riddles

• Decimal Place Value Riddle 4A
• Decimal Place Value Riddle 4B
• Decimal Place Value Riddle 5A
• Decimal Place Value Riddle 5B

Using the Riddle Sheets as a Game

You can also use the riddle pages as part of a game where you choose one of the 6 or 8 possibilities, and your partner asks you place value questions to see if they can guess the one that you have chosen.

The person who answers their opponent's riddle in the fewest questions is the winner.

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Geometry Riddles

Here you will find our free printable geometry riddles from 1st to 5th grade.

These riddles are similar to the math riddles on this page, but are all about 2d shapes instead of numbers.

Using these riddles will help your child to:

• develop their geometry skills;
• develop their understanding of geometric language;
• apply their geometric knowledge to solve problems.
• Geometry Worksheets (Riddles)

Printable Math Puzzles

Here you will find a range of free printable math puzzles. Puzzles are a great way to have some fun with math whilst learning and developing skills at the same time.

This page is our hub page with links to our entire selection of math puzzles from 1st grade and upwards.

• Printable Math Puzzles Hub Page

Magic Square Puzzles to solve

We have a range of magic square puzzles for kids to solve, suitable from 1st grade and upwards.

Most of the sheets involve finding the missing numbers to create a magic square.

Our magic square sheets include:

• Addition and subtraction of integers;
• Addition and subtraction of fractions;
• Using negative numbers;
• Using decimals.
• Magic Square Worksheets

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

Return to Fun Math Worksheets

Return to Place Value Worksheets

Return from Place Value Riddles to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Special April offer - 7 days free unlimited access to all premium content Try Premium

• Fifth Grade

Place Value Problems

Fifth grade place value problems.

Filter by Grade:

Filter by subject:.

Or search by topic

Number and algebra

• The Number System and Place Value
• Calculations and Numerical Methods
• Fractions, Decimals, Percentages, Ratio and Proportion
• Properties of Numbers
• Patterns, Sequences and Structure
• Algebraic expressions, equations and formulae
• Coordinates, Functions and Graphs

Geometry and measure

• Angles, Polygons, and Geometrical Proof
• 3D Geometry, Shape and Space
• Measuring and calculating with units
• Transformations and constructions
• Pythagoras and Trigonometry
• Vectors and Matrices

Probability and statistics

• Handling, Processing and Representing Data
• Probability

Working mathematically

• Thinking mathematically
• Mathematical mindsets
• Cross-curricular contexts
• Physical and digital manipulatives

For younger learners

• Early Years Foundation Stage

Advanced mathematics

• Decision Mathematics and Combinatorics
• Advanced Probability and Statistics

Place Value KS1

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

Snail One Hundred

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Round the Two Dice

This activity focuses on rounding to the nearest 10.

Two-digit Targets

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Light the Lights

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Digit Addition Live

Try out this number trick. What happens with different starting numbers? What do you notice?

Largest Even

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?