problem solving questions place value

Crore

Lakhs

Thousands

Ones

Ten-Crore

(TC)

10,00,00,000

Crore

(C)

1,00,00,000

Ten-Lakhs

(TL)

10,00,000

Lakhs

(L)

1,00,000

Ten Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

Millions

Thousands

Ones

Hundred-millions

(HM)

100,000,000

Ten-millions

(TM)

10,000,000

Millions

(M)

1,000,000

Hundred-Thousands

(HTTh)

100,000

Ten-Thousands

(TTh)

10,000

Thousands

(Th)

1000

Hundreds

(H)

100

Tens

(T)

10

Ones

(O)

1

2500

Hundreds

500

5069

Thousands

5000

7235

Ones

5

9050

Tens

50

29975

ten thousands

20,000

tens

70

8627

Tens

20

Ones

7

208764

Lakhs/Hundred-thousands

2,00,000 or

200,000

Hundreds

700

720000

Ten thousands

20,000

Lakhs/Hundred-thousands

7,00,000 or

700,000

8

?

4

?

8

0

4

6

2

8

4

5

7

8

9

1

2

5

9

7

2

1

3

7

0

9

1

2

0

9

8

6

In a number, of a digit is the value of the position of that digit within the given number. For example, the place value of the digit 5 in 19530 is 500.

The of any digit in the number is the value of the digit itself. For example, the face value of 5 in 19530 is 5.

The following place value chart is used represent decimal numbers:

Question 11: Write the following numbers in the place value charts:

(ii) 325.006

(iii) 0.976

Question 12: Fill in the blanks:

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = _____.

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = ________.

(iii) 0.008 + 1.07 + 0.5 = _______.

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = ______.

(i) 1 × 100 + 2 × 10 + 8 × 1 + 5 × 1/10 + 2 × 1/100 = 128.52

(ii) 2 × 1000 + 28 × 10 + 1 × 1/10 + 1 × 1/100 = 2280.11

(iii) 0.008 + 1.07 + 0.5 = 1.578

(iv) 300 + 4 + 45 + 0.0006 + 0.007 + 0.08 = 349.0876

Practice Questions:

1. Find the place value of 6 for the following numbers:

(iii) 497612

2. The digits in the tens and the thousands place of a number are 3 and 9, respectively. The digit in the ones and the ten thousands places are 3 and 4 more than the digit in tens place. If the digit in the hundreds place is three less than the digit in ten thousands place, find the number.

3. Fill in the blanks:

(i) 3000 + 700 + _____ + 8 = 3758.

(ii) 200 + 9050 + 4 = ______.

(iii) 2000 + 0.009 + 12.23 + 300 = _____.

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Place Value Worksheets

And base 10 blocks.

Our place value worksheets focus on deepening a student's understanding of our base 10 system. In our " base 10 blocks " worksheets, students manipulate blocks (units of 1) and rods (groups of 10) to build, deconstruct or add numbers. Later worksheets focus on building or de-constructing multi-digit numbers.

Choose your grade / topic:

Grade 1: Base 10 blocks worksheets

Grade 1: Place value worksheets

Grade 2: Place value worksheets

Grade 3: Place value worksheets

Grade 4: Place value worksheets

Grade 5: Place value worksheets

Topics include:

Grade 1 base 10 blocks worksheets

• Counting and making 10 with ten frames
• Regrouping unit blocks into blocks of 10 ("rods")
• Counting "tens" and "ones"
• Breaking a number (11-99) into rods ("tens") and  blocks ("ones")
• Adding 2 digit numbers with base 10 blocks

Grade 1 place value worksheets

• Identifying tens and ones from 2 digit numbers
• Combining tens and ones into 2 digit numbers
• Identifying a digit's place value (tens, ones)
• Building a 2 digit number with missing addends
• Write 2 digit numbers in expanded form
• Write 2 digit numbers in normal form

Grade 2 place value worksheets

• Building a 3-digit number from the parts
• Missing place values in 3-digit numbers
• Write 3-digit numbers in expanded form
• Write 3-digit numbers in normal form
• Hundreds, tens & ones - identify the underlined digit
• Comparing and ordering numbers up to 100 and 1,000

Grade 3 place value worksheets

• Building 3, 4 and 5-digit numbers from the parts
• Missing place values in 3 and 4-digit numbers
• Write 4-digit numbers in expanded form
• Write 4-digit numbers in expanded notation
• Write 4-digit numbers in standard form
• Identify the place value of the underlined digit
• Compare and order numbers up to 10,000 and 100,000

Grade 4 place value worksheets

• Building 4, 5 and 6-digit numbers from the parts
• Missing place values in 4, 5 and 6-digit numbers
• Write 5-digit numbers in expanded form
• Write 5 digit numbers in expanded notation
• Write 5-digit numbers in standard form

Grade 5 place value worksheets

• Building 5 and 6-digit numbers from the parts
• Missing place values in 5 and 6-digit numbers
• Build numbers from parts with decimals
• Decimal numbers in expanded form
• Decimal numbers in expanded notation

Related topics

Comparing numbers worksheets

Rounding worksheets

Sample Place Value Worksheet

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Place Value KS2

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

Number match

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Less is More

Which Scripts?

The deca tree, the thousands game.

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Place Value Word Problems

Place value in Mathematics describes the position of a digit in a number. Each digit has some value in the number, depending upon its position. When a number is represented in the general form, the position of each digit will be expanded. These positions start from a unit place or ones position. The order of place value of digits in a number from right to left is ones/units, tens, hundreds, thousands, ten thousand, a hundred thousand, and so on. A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one. Decimals are based on the preceding powers of 10. Thus, moving from left to right, the place value of digits gets divided by 10. Moving from right to left, the place value of digits gets multiplied by 10.

Harvey has 450 stamps. Mike has 600 stamps. Who has more stamps?

Practice Place Value Word Problems

Practice Problem 1

Practice Problem 2

Practice Problem 3

Place value – is the value of each digit in a number.

Place value chart – The place value chart is a table that is used to find the value of each digit in a number based on its position, as per the numeral system.

Pre-requisite Skills Identify Numbers up to 100 Estimation Order numbers Compare Numbers Place value models Ones tens and hundreds Place Value Models – Up to Thousands

Related Skills Compare Whole Numbers Rounding Whole Numbers to Nearest Thousand Value of Digit – Up to Hundred Thousands Write Numbers for Word Names – Up to Millions Write Word Names for Numbers – Up to Millions Value of Digit – Up to Millions Write Word Names for Numbers Compare Numbers Value of Digits (Decimal Numbers) Write Word Names for Decimal Numbers

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Place Value Worksheets Hub Page

Welcome to our Place Value Worksheets area.

Here you will find a wide range of place value activites and worksheets which will help your child gain a better understanding of how our number system and place value works.

You can also take a look at our printable place value charts or our place value sheets with decimals or BIG numbers over a million!

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• This page contains links to other Math webpages where you will find a range of activities and resources.
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Place Value Worksheets and Resources

On this page you will find link to our range of place value resources, including online practice, charts and worksheets.

Quicklinks to Place Value ...

• Online Place Value Practice
• Place Value Charts and Number Grids
• Place Value Tens and Ones

Place Value up to Hundreds

Place value up to thousands.

• Big Number Place Value
• Negative Number Place Value
• Decimal Place Value
• Randomly Generated Place Vaue Worksheets

Scientific Notation Support

• Absolute Value Worksheets

Place Value Games

• Online Place Value Quizzes

Definition of Place Value

So what exactly is place value?

Place value refers to the value of the digits in any given number. In the number 482 for example, the value of the digit '8' is 80 and the value of the digit '4' is 400.

At a more advanced level, in the number 36.57, the value of the digit '5' is 0.5 and the value of the digit '7' is 0.07.

In our number system, each time you move a place to the right, the value of the digit gets ten times bigger. Each time you move a place to the left, the value of the digit gets ten times smaller.

• Definition of Place Value Sheet
• PDF version

Place Value Learning

Children start their learning journey in Math when they start to count. When they are confindent counting small groups of objects and getting beyond 10, they then begin to develop their understanding of place value up to 100 and beyond.

When they have understood how place value with whole numbers works, they can start learning about place value with decimals.

Our selection of free math place value worksheets has been split into different areas below so that you can more easily find the right sheet for your child.

Online Place Value Practice Zone

In our Math Place Value Practice area, you can practice your place value skills, adding thousands, hundreds, tens and ones. You can even use this area for adding on decimals: tenths and hundredths.

You can select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Free Place Value Practice Zone 1 - Digit Values
• Math Place Value Practice Zone 2 - Combining

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Place Value Charts & Number Grids

Place value charts.

We have a selection of place value charts which are great for helping to develop understanding of place value.

The charts cover a range of numbers from billions to millionths.

They are a good supporting resource for children who are finding place value difficult.

We also have place value grids to help children convert to and from expanded form to support place value learning.

They are also a good way to get children to become familiar with how the number system works.

• Place Value Charts (whole numbers)
• Decimal Place Value Charts
• Place Value Grids

Number Grids

These printable grids will help your child learn to read and write numbers and learn the number sequence.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.

1st Grade Place Value Charts

• Free Number Chart 1-30
• Number Chart to 50
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Missing Number Chart 1-100
• Number Grid up to 200
• Number Grid up to 300

Here you will find our selection of place value games.

We have a range of different games for helping to teach place value from 2-digit games up to decimal place value games.

There are a range of games are suitable for all ages, from kindergarten and upwards.

• Games to teach Place Value

Place Value and Number Sense Tens and Ones

Here you will find our selection of 2 digit Place Value worksheets.

Using these Math Worksheets Place Value will help your child to:

• learn their place value to 100;
• understand the value of each digit in a 2 digit number;
• Round numbers up to 100 to the nearest 10
• learn to read and write numbers to 100.
• Place Value Worksheets for Kindergarten
• Place Value to 20 Worksheets
• Place Value Ones and Tens Models
• Place Value Tens and Ones (standard and expanded form)
• Basic Math Worksheets - Ordering numbers 2 Digits
• Rounding to the nearest 10 Worksheets
• Add and Subtract 10 Worksheets

Here you will find our selection of 3 digit Place Value worksheets.

• learn their place value with 3 digit numbers;
• understand the value of each digit in a 3 digit number;
• learn to read and write numbers up to 999.
• 2nd Grade Place Value Models up to hundreds
• Second Grade Place Value Worksheets 3 Digits
• Ordering numbers worksheets up to 999

Here you will find our selection of Place Value up to 4 Digits worksheets.

Using these sheets will help your child learn to:

• learn their place value with 4 digit numbers;
• use place value models to understand how to combine thousands, hundreds, tens and ones;
• understand the value of each digit in a 4 digit number;
• learn to use standard and expanded form with 4 digit numbers.
• Place Value Models 4 Digits
• Place Value 4 Digit Numbers Worksheets (conversion)
• Ordering Numbers up to Thousands Sheets

Place Value BIG Numbers

Welcome to our BIG Number Place Value area.

Here you will find sheets to help your child learn their place value to 10 million.

• Know how to read and write numbers to 10 million;
• Understand place value to 10 million.
• Solve place value problems.

All the 4th grade math worksheets in this section support elementary math benchmarks.

• 4th Grade Place Value up to 6 digits
• 5th Grade Place Value Worksheets to 10 million
• 5th Grade Ordering Large Numbers up to 100 million

Place Value Negative Numbers

• learn to order negative numbers;
• learn to position numbers from -10 to 10 on a number line.
• ordering and comparing rational numbers
• Ordering Negative Numbers -10 to 10
• Ordering and Comparing Rational Numbers

Place Value Decimals

Here you will find our selection of Place Value involving Decimals with up to 2 decimal places (2dp).

• learn their place value with decimals up to 2dp;
• understand the value of each digit in a decimal number;
• learn to read and write numbers with up to 2dp.
• Decimal Place Value Worksheets to 2dp
• Place Value to 3dp
• Ordering Decimals Worksheets

Rounding Numbers Worsheets

As well as our random number worksheet generator, we have a wide range of graded rounding worsheets.

These sheets are great for supporting less able students, or for giving an extra challenge to more able students.

Using the link below will take you to our Rounding numbers hub page where you will find links to all our rounding numbers worksheets.

• Rounding Numbers Hub page

Place Value Random Worksheet Generator

Here is our generator for generating your own place value worksheets.

Our generator will create the following worksheets:

• digit values
• comparing numbers
• converting between standard and expanded form

These sheets involve saying the value of the underlined digit.

• Digit Place Value Worksheets
• Standard Form to Expanded Form Worksheets
• Expanded Form to Standard Form Worksheets
• Rounding Off Numbers Worksheets
• Greater Than Less Than Worksheets

We have a selection of worksheets designed to help students learn about asbolute value.

Topics covered include:

• absolute value and opposite numbers
• comparing absolute values
• absolute value arithmetic
• solving absolute value equations

Our Convert to scientific notation calculator will take a number and convert it to scientific notation and e-notation.

It shows you all the working out along the way too.

• Convert to Scientific Notation Calculator
• Standard Notation to Scientific Notation Support page
• Scientific Notation to Standard Notation support page

Online Place Value Quiz Page

Here you will find our selection of place value quizzes.

We have a wide range of different quizzes which support the worksheets that we produce.

There are a range of place value and number sense quizzes suitable for all ages, from kindergarten and upwards.

• Online Place Value Quiz

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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 2 years ago (category: Articles )

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Problem solving with place value

I can use my knowledge of place value to solve problems

Lesson details

Key learning points.

• Measures are not always presented in the same format.
• Sometimes a measure must be converted into a desired format.
• Real-life context can be useful in determining the most useful unit of measurement.

Common misconception

You have to convert to the same unit to decide if a measure is the same as another.

For metric units it is possible to compare the digits. Any conversion within metric has the same digits in the same order.

Metric - Metric units are based around the standard units of metre, gram and litre.

Prefix - A prefix is a group of letters attached to the front of a root (word) to make a new word, for example tricycle.

Centi - Centi placed before a unit means (1/100)

Milli - Milli placed before a unit means (1/1000)

Kilo - Kilo placed before a unit means 1000 times.

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Starter quiz

6 questions.

Place-Value Concepts

This page contains resources to support teaching and learning of place-value concepts. Three videos draw on research-based frameworks to illuminate the rich and complex topic of place value and how children come to understand this topic. Additionally an interview protocol for diagnosing student understanding of place value is available along with video examples of students participating in that interview. Finally a list of additional resources is offered for those who wish to go further with study of this topic.

Educator Videos

The following three videos contain a discussion and synthesis of research-based frameworks that can be useful for making sense of student understanding of place-value concepts and an interview protocol in PDF format used to assess students understanding of place value during these interviews.

The Multifaceted Nature of Place Value: It’s About More Than Digit Values

11:56 / View on YouTube / Download Transcript

The Child’s Perspective on Place Value: Five Ways Children Conceptualize Two-Digit Numbers

12:08 / View on YouTube / Download Transcript

Provoking Place-Value Reasoning with Groups of Ten Word Problems: Excerpts from Ms. Brannon’s First Grade Class

14:41 / View on YouTube / Download Transcript

Place-Value Assessment Resources

Click the thumbnails to access resources to support assessment of students’ understanding of place-value in a base-ten number system. The assessment designed to be used in a one-on-one interview setting. Blackline masters are also available in the downloadable file. The downloadable diagram provides a conceptual model for the various components of place-value understanding that occur over a period of several years of school mathematics.

Student Videos

The following three videos show a kindergarten student, a first-grade student, and a second-grade student engaged in the place-value interview.

Kindergarten – Tim

19:51 / View on YouTube / Download Transcript

First Grade – Weston

30:00 / View on YouTube / Download Transcript

Second Grade – Valerie

23:47 / View on YouTube / Download Transcript

Resources for Further Study of Place Value

Click the following titles to access a short list of teacher resource books and journal articles that were reviewed in preparation of these resources.

Teacher Resource Books

• This book details research findings on the development of children’s mathematical thinking in relation to the four operations (addition subtraction multiplication and division) and base-ten number concepts.
• Chapter one of this book includes ideas for teaching and assessing place-value concepts. The book also contains a collection of activities focused on providing children with a variety of experiences generating strategies for organizing large quantities into tens and ones.
• This book includes a collection of ideas for teaching and assessing place-value concepts. Lessons are organized into three main types: Counting and grouping activities number chart activities and activities focused on exchanging ones and tens. The assessments chapter contains suggestions for tasks to use in an individual interview.
• Chapter eleven of this book includes discussion of children’s development of whole-number place-value concepts and ideas for instruction and assessment related to these concepts.
• This article illustrates how contextualized problems involving groups of ten can be used to advance early elementary students’ understanding of place-value concepts.
• This article introduces a set of strategic counting tasks’ to use for the purpose of assessing children’s place-value understanding. The authors discuss the advantages of the strategic counting tasks over other tasks commonly used to assess place-value understanding and detail findings of three research studies that used this set of tasks.
• Drawing on data from four research projects implementing a problem-solving approach to teaching and learning multidigit number concepts and operations this article presents a framework of conceptual structures that articulate different ways children think about multidigit numbers. The article also discusses categories of methods children devise to solve multidigit addition and subtraction problems. The research in this article forms the basis of the ideas presented in  The Child’s Perspective on Place Value: Five Ways Children Conceptualize Two-Digit Numbers (see above).
• This article draws on the work of multiple research projects to identify curricular elements essential for the development of place-value understanding. A framework is suggested for nurturing and assessing place-value understanding in the early elementary grades.
• This article describes findings of two studies utilizing digit-correspondence tasks to explore students’ understanding of the meaning of the digits in two-digit numbers. Implications for the classroom are also discussed.
• This article describes findings from a classroom study that explores the effects of classroom lessons involving digit-correspondence tasks on students’ understanding of the meaning of the digits in two- and three-digit numbers.

5 Place Value Activities for Deep Understanding

Place Value Lesson #1

Place Value Lesson #2

 When asking students to solve problems like this, encourage them to show their thinking by adding other “benchmark” numbers rather than simply guessing.  Better yet, have them share their thinking so others can learn from different strategies.  This is a great time to identify and clear up place value misconceptions.  Also, this is SO much more powerful than simply filling in the blank on a number line in a workbook!

• Start with numbers lines that do not begin at zero…
• Ask students to identify points outside two numbers on a number line…
• Try having students write their own problems for others to solve…
• Ask students to write about their thinking, not just talk about it…

Place Value Lesson #3

• The number must be a five digit number.
• The first digit must be a 1
• The second digit must be an 8.
• The ones place must be a 1, 3, 5, 7, or 9–until they realize that the tens place number is double the ones place (ruling out the 5, 7, and 9)

Place Value Lesson #4

Place value lesson #5.

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Problems Related to Place Value | Tips to Solve Place Value Questions | Place Value Word Problems

Are u seeking homework help to solve the problems on place values? If yes, then this guide is the perfect solution. Here, in the below modules, we have wrapped plenty of problems related to place values. But First and foremost, students should have proper knowledge on what is place value and tips that develop place value. Generally, place values are used to represent the group of digits in the correct position in the place value chart . Let’s have a glance at Problems Related to Place Value for quick & easy solving.

What is Place Value?

Place value can be defined as the value followed by a digit in a given number based on its position in the number. Every digit in a number has a place value. The place value of digits has a position itself such as ones, tens, hundreds, thousands, ten thousand, and so on. Every number has a place value and face value. Place value is nothing but the position of a number whereas the face value is the number itself.

If a number has the same digits twice or more but the place value of a digit is different from one another. For instance, if we have the number 25423, here, 2 is repeated twice but the place value of 2 is different i.e., one place value of number 2 is ten thousand (2×10,000) and another place value of a number 2 is tens (2×10).

Let’s represent the digits with place values using a place value chart. It helps the students to know the correct places of a number and each digit that stands for. The following place value table makes it clear to identify the digits quickly.

Place Value Table Using International System

Here is the table to remember & learn easily about the place value of a given number in the international place value system:

Also Check :

• International Place Value Chart
• Worksheet on International Numbering System
• Worksheet on Indian Numbering System

Place Value Table Using Indian System

Let’s see the same above number in the Indian Place Value system and aware of the difference while solving problems related to place values:

Tips to Solve Place Value Problems

• Take the place values and use blocks to represent them. It helps in reading and writing numbers easily.
• Count the place values by grouping them as 10’s, 100’s, and 1000’s, and so on.
• Practice the place value problems daily to build confidence and to grasp the place values of a number in seconds.
• Place value positions are increased 10 times than the previous place value of a digit.

Problems Related to Place Values

Write the digits in the place value of M, T, H-Th, H for the number 7634562.

Take the given number 7634562. Place the digits with place values using commas i.e., 7,634,562.

A number in place value of Tens (T) is 6.

A number in place value of Hundreds (H) is 5.

A number in place value of Hundred thousand (H-Th) is 6.

A number in place value of Million (M) is 7.

Example 2: 

Write the place values of highlighted digits of given numbers

(i) 2 9 54623

(ii) 1 2 4789

(iii) 32 5 47

(i) Take the given number 2,954,623

The place value of a stressed digit 9 is at a Hundred thousand position i.e., 9×100,000=900,000.

(ii) Take the given number 124,789

The place value of a stressed digit 2 is at Ten thousand position i.e., 2×10,000=20,000.

(iii) Take the given number 32,547

The place value of a stressed digit 5 is at Hundreds place i.e., 5×100=500.

Find the place values of the number 987654321.

The given number is 987654321.

Place the number in the correct position using place values by grouping them with the help of three periods.

Thus, the number is 987,654,321 after grouping the digits.

The place values of digits are

Number 1 is in one’s place 1×1=1, Number 2 is in the tens place 2×10=20, Number 6 is in the hundreds place 3×100=300, Number 4 is in thousands place 4×1000=4000, Number 5 is in ten thousand place 5×10,000=50,000, Number 6 is in hundred thousand place 6×100,000=600,000, Number 7 is in million place 7×1,000,000=7,000,000, Number 8 is in ten million place 8×10,000,000=80,000,000, and Number 9 is in hundred million place 9×100,000,000=900,000,000.

For clear understanding, we have given the representation of the number in an image form as below.

What number has 5 tens and 3 more ones than the tens?

First, we know that we have 5 tens and also have 3 more ones than the tens.

Next, our Tens are 5. We add 3 to 5 for ones i.e., 3+5=8.

Now, there are 8 ones.

Thus, the answer is 58 .

What number has 7 tens and 3 fewer ones than the tens?

We have 7 tens and 3 fewer ones than the tens.

Our tens are 7 and subtract 3 ones from 7 ones i.e., 7-3=4.

Now, there are 4 ones.

Therefore, the answer is  74 .

What number has 7 ten thousand, 1 fewer thousand than ten thousand, 3 more hundreds than thousands, the same number of tens as hundreds, and 2 fewer ones than thousands?

First, the number in ten thousand place value is 7.

There are 7 ten thousand and 1 fewer thousand than ten thousand i.e., 7-1=6 (6 is in thousands place).

3 more hundreds than thousands i.e., 3+6=9 (9 is in hundreds place).

Then the same number of tens as hundreds i.e., 9 is in hundreds place then tens place value is 9.

2 fewer ones than thousands i.e., 6-2=4 (4 is in one’s place).

Thus, the number with the place values is 76,998 .

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Year 3 Maths - Reasoning Questions 'Place Value'

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

25 September 2024

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Looking to enhance your ‘Place Value’ maths lessons? These reasoning questions require your pupils to think deeply about number, explain their thinking and reason mathematically by applying their place value knowledge.

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Place Value Problems (Year 6)

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Children can work through a variety of tasks about place value with this worksheet. Comparing numbers up to a value of 10 000 000, they will write the correct symbol between pairs of numbers and use written clues to work out which large numbers are being described.

Answers are provided.

An equivalent foundation level worksheet is also available.

• Key Stage: Key Stage 2
• Subject: Maths
• Topic: Place Value
• Topic Group: Number and Place Value
• Year(s): Year 6
• Media Type: PDF
• Resource Type: Worksheet
• Last Updated: 02/11/2021
• Resource Code: M2WAT416
• Curriculum Point(s): Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit.

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Problem Solving: Place Value

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