Place Value Questions

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Place value questions with solutions are provided here for students to practice and enhance their skills. The place value of a digit in a number represents the position or place of that digit. For example, the place value of 2 in 726 is the tens place. Knowledge of place values will help kids to write numbers in words in both Indian and international systems.

Place value charts in Indian and International systems of numerals :

Learn more about Place Values .

Place Value Questions with Solution

Identifying the place value of a digit within a given number are taught to students of grades 1 to 5. These questions on place values will help them affirm their concept regarding place values and the numeral system.

Question 1: Find the place value of 5 for the following numbers:

Question 2: Find the place value of 2 and 7 for the following numbers:

(iii) 28467

Questions 3: Fill in the blanks:

(i) 20600 + ____ + 30 + 5 = 28635.

(ii) _____ + ____ + 86 = 4586.

(iii) 4000 + 3 + 400 + ____ = 4443.

(iv) 34589 = _____ + _____ + ____ + ______ +_____.

(i) 20600 + 8000 + 30 + 5 = 28635.

(ii) 4000 + 500 + 86 = 4586.

(iii) 4000 + 3 + 400 + 40 = 4443.

(iv) 34589 = 30,000 + 4000 + 500 + 80 + 9 .

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Question 4: Identify the number which has 4 in tens place and 8 in thousands place. The digit in ones is half the sum of the digits in tens and thousands, and the digit in hundreds place is six less than the digit in ones place. Find the number.

Given, the number has 4 in the tens place and 8 in thousands place.

Digit in ones place = (8 + 4) ÷ 2 = 12/2 = 6

Digit in hundreds place = less than the digit in ones place = 6 – 6 = 0

Thus, the number is –

Question 5: Write following numbers in the place value chart in both Indian and International system:

(ii) 912597

(iii) 213709

(iv) 120986

Question 6: Find the sum and product of the place value and face value of 6 in the number 86245.

Place value of 6 = 6000

Face value of 6 = 6

6000 + 6 = 6006

6000 × 6 = 36000

Question 7: State ‘true’ or ‘false’ for the following statements:

(i) The place value and face value of any digit in ones place are the same.

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

(iii) 300 + 60 + 5 = 356.

(iv) The face value of any digit is either less than or equal to the place value of the digit.

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000.

(i) The place value and face value of any digit in ones place are the same. (True)

(ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030. (False)

(iii) 300 + 60 + 5 = 356. (False)

(iv) The face value of any digit is either less than or equal to the place value of the digit. (True)

(v) The product of the place value of 4 in 4956 and the face value of 7 in 171 is 280000. (False)

Question 8: Write the following numbers in words according to the Indian system:

(ii) 129644

(iii) 25456

(i) 94562 – Ninety-four thousand five hundred sixty-two.

(ii) 129644 – One lakh twenty-nine thousand six hundred forty-four.

(iii) 2545600 – Twenty-five lakhs forty-five thousand six hundred.

(v) 30764 – Thirty thousand seven hundred sixty-four.

Question 9: Write the following numbers in words according to the International system:

(ii) 5720964

(iii) 40972

(iv) 497114

(i) 34921 – Thirty-four thousand nine hundred twenty-one

(ii) 5720964 – Five million seven hundred twenty thousand nine hundred sixty-four

(iii) 40972 – Forty thousand nine hundred seventy-two

(iv) 497114 – Four hundred ninety-seven thousand one hundred fourteen

Question 10: Compare the following using ‘>’, ‘<’ or ‘=’:

(i) Place value of 3 in 3245 ____ Place value of 6 in 265

(ii) Places value of 5 in 456 ____ Place value of 2 in 234

(iii) Place value of 7 in 7980 ____ Place value of 5 in 5790

(iv) Place value of 4 in 234 ____ Face value of 9 in 494

(i) Place value of 3 in 3245 > Place value of 6 in 265

(ii) Places value of 5 in 456 < Place value of 2 in 234

(iii) Place value of 7 in 7980 > Place value of 5 in 5790

(iv) Place value of 4 in 234 = Face value of 4 in 495

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 – 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. 

Add 3-Digit and 1-Digit Number Using Place Value Game

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.  

Place Value Chart

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

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

Add 1 Digit and 3 Digit Numbers Using Place Value

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.

Place Value Blocks

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

Place Value 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. 

Decimal Place Value Chart

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.

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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.

Place Value Word Problems

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.

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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.

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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 )

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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.
  • If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

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

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

Place Value Games

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.

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  • 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.

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Unit 2: Module 2: Place value and problem solving with units of measure

About this unit.

"In this module, students explore measurement using kilograms, grams, liters, milliliters, and intervals of time in minutes." Eureka Math/EngageNY (c) 2015 GreatMinds.org

Topic A: Time measurement and problem solving

  • Telling time (labeled clock) (Opens a modal)
  • Telling time (unlabeled clock) (Opens a modal)
  • Telling time to the nearest minute (labeled clock) (Opens a modal)
  • Telling time to the nearest minute (unlabeled clock) (Opens a modal)
  • Telling time review (Opens a modal)
  • Time differences example (Opens a modal)
  • Telling time with number line (Opens a modal)
  • Time word problem: puzzle (Opens a modal)
  • Time word problem: travel time (Opens a modal)
  • Telling time on a clock Get 5 of 7 questions to level up!
  • Telling time on a number line Get 5 of 7 questions to level up!
  • Tell time to the nearest minute Get 5 of 7 questions to level up!
  • Time differences (within 60 minutes) Get 3 of 4 questions to level up!
  • Tell time on the number line Get 5 of 7 questions to level up!
  • Time word problems with number line Get 5 of 7 questions to level up!
  • Telling time word problems (within the hour) Get 5 of 7 questions to level up!

Topic B: Measuring weight and liquid volume in metric units

  • Understanding mass (grams and kilograms) (Opens a modal)
  • Word problems with mass (Opens a modal)
  • Understanding volume (liters) (Opens a modal)
  • Word problems with volume (Opens a modal)
  • Estimate mass (grams and kilograms) Get 3 of 4 questions to level up!
  • Word problems with mass Get 5 of 7 questions to level up!
  • Estimate volume (milliliters and liters) Get 3 of 4 questions to level up!
  • Word problems with volume Get 5 of 7 questions to level up!

Topic C: Rounding to the nearest ten and hundred

  • Rounding to the nearest 10 on the number line (Opens a modal)
  • Rounding to the nearest 100 on the number line (Opens a modal)
  • Rounding to nearest 10 and 100 (Opens a modal)
  • Round to nearest 10 or 100 Get 3 of 4 questions to level up!
  • Round to nearest 10 or 100 on the number line Get 5 of 7 questions to level up!
  • Round to nearest 10 or 100 challenge Get 3 of 4 questions to level up!

Topic D: Two- and three-digit measurement addition using the standard algorithm

  • Intro to place value (Opens a modal)
  • Using place value to add 3-digit numbers: part 1 (Opens a modal)
  • Using place value to add 3-digit numbers: part 2 (Opens a modal)
  • Estimating when adding multi-digit numbers (Opens a modal)
  • Adding 3-digit numbers (Opens a modal)
  • Breaking apart 3-digit addition problems (Opens a modal)
  • Addition using groups of 10 and 100 (Opens a modal)
  • Three digit addition word problems (Opens a modal)
  • Estimate to add multi-digit whole numbers Get 3 of 4 questions to level up!
  • Break apart 3-digit addition problems Get 3 of 4 questions to level up!
  • Add using groups of 10 and 100 Get 3 of 4 questions to level up!
  • Add on a number line Get 3 of 4 questions to level up!
  • Add within 1000 Get 3 of 4 questions to level up!
  • Select strategies for adding within 1000 Get 3 of 4 questions to level up!

Topic E: Two- and three-digit measurement subtraction using the standard algorithm

  • Estimating when subtracting large numbers (Opens a modal)
  • Methods for subtracting 3-digit numbers (Opens a modal)
  • Subtraction by breaking apart (Opens a modal)
  • Subtracting 3-digit numbers (regrouping) (Opens a modal)
  • Worked example: Subtracting 3-digit numbers (regrouping) (Opens a modal)
  • Worked example: Subtracting 3-digit numbers (regrouping twice) (Opens a modal)
  • Worked example: Subtracting 3-digit numbers (regrouping from 0) (Opens a modal)
  • Adding and subtracting on number line (Opens a modal)
  • Missing number for 3-digit subtraction within 1000 (Opens a modal)
  • Missing number for 3-digit addition within 1000 (Opens a modal)
  • Three digit subtraction word problems (Opens a modal)
  • Estimate to subtract multi-digit whole numbers Get 3 of 4 questions to level up!
  • Break apart 3-digit subtraction problems Get 3 of 4 questions to level up!
  • Subtract on a number line Get 3 of 4 questions to level up!
  • Select strategies for subtracting within 1000 Get 3 of 4 questions to level up!
  • Subtract within 1000 Get 3 of 4 questions to level up!
  • Find the missing number (add and subtract within 1000) Get 3 of 4 questions to level up!
  • Add and subtract within 1000 word problems Get 3 of 4 questions to level up!

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Place Value Workbook for Grade 1

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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

place value to 100 problem solving

Sample Place Value Worksheet

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Place Value, Integers, Ordering and Rounding - Short Problems

place value to 100 problem solving

Reverse Ages

When is the next time that Brian's age will be the reverse of his father's age?

Central Sum

Can you find numbers between 100 and 999 that have a middle digit equal to the sum of the other two digits?

Different Magic Square

Can you solve this magic square?

Negative Dice

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Rough Rectangle

What is the smallest possible area that this rectangle could have?

Debt Recovery

Tony and Tina can't work out which of them owes what to the other. Can you?

How well can you count back from sixty thousand?

Loose Change

In how many ways can you give change for a ten pence piece?

Mathematical Ages

Arrange these three famous mathematicians in order with the shortest-lived first.

Quiz Questions

Jack does a 20-question quiz. How many questions didn't he attempt?

Mini Kakuro

The sum of each column and row in this grid give the totals as shown. What number goes in the starred square?

Highs and Lows

What were the maximum and minimum temperatures recorded in my max/min thermometer?

Even Squares

Can you find squares within a number grid whose entries add up to an even total?

Tick's watch is slow and Tock's watch is fast. How long is it before their watches differ by an hour?

Double with 1 to 9

Can you find a number and its double using the digits $1$ to $9$ only once each?

Paying the Bill

Gill and I went out to lunch. We agreed to split the total cost equally. How much did I owe Gill?

Digital Book

If it takes 852 digits to number all the pages of a book, what is the number of the last page?

Sara makes a list of the whole numbers that do not contain any 9s. What is the 300th number on her list?

Digit Sum Puzzle

Let N be the smallest positive integer whose digits add up to 2015. What is the sum of the digits of N+1?

Equal Length Powers

How many positive integers $n$ exist for which $n^2$ has the same number of digits as $n^3$?

Alberta's Age

Alberta won't reveal her age. Can you work it out from these clues?

Repeat Product

Can you work out the value of P+Q+R in the multiplication shown?

David listed ten consecutive numbers and removed one of them. Which number did he remove?

Pros and Cons

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?

How Many Digits?

How many digits are there in this product?

How Many Gorillas?

If the numbers in this news article have been estimated, then what is the largest number of gorillas that there could have been 10 years ago?

Number Crunch

Create 24 numbers from four digits. Why is 101 always a factor of their sum?

Digital Counter

When the numbers from 1 to 1000 are written on a blackboard, which digit appears the most number of times?

What is the sum of all the digits in all the integers from one to one million?

IMAGES

  1. Place Value to 100

    place value to 100 problem solving

  2. The Classroom Secrets Shop

    place value to 100 problem solving

  3. Math Place Value Worksheets to 100

    place value to 100 problem solving

  4. 👉 Number and Place Value within 100 Problem-Solving Pack

    place value to 100 problem solving

  5. Problem Solving with Place Value

    place value to 100 problem solving

  6. Fall

    place value to 100 problem solving

VIDEO

  1. PLACE VALUE OF A NUMBER

  2. Math Quiz: Place Value

  3. Place Value || Counting Tens & Ones up to 30 || Easy video for kids

  4. Place Value:10/100/1000/10 000/100 000 More or Less Video

  5. Place Value Operations Answers

  6. What is PLACE VALUE?

COMMENTS

  1. Problem Solving with Place Value

    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 ...

  2. Free Place Value Worksheets—Printable with Answers

    If you need a quick review of place value, you can jump to the bottom of this page to access our short place value review guide, where we quickly recap some key vocabulary terms and information about place value and how you can use a place value chart to help you to correctly identify a number's place value position (free PDF chart included).. All of the free place value worksheets below are ...

  3. Place Value Questions

    Solution: Place value of 6 = 6000. Face value of 6 = 6. Then, 6000 + 6 = 6006. 6000 × 6 = 36000. Question 7: State 'true' or 'false' for the following statements: (i) The place value and face value of any digit in ones place are the same. (ii) Sum of the place values of 3 in the numbers 3986 and 9723 is 3030.

  4. Number and Place Value within 100 Problem-Solving Pack

    Use this amazing, comprehensive pack to help your children develop a deeper understanding of place value when using numbers within 100. It includes an engaging presentation with a range of problems designed to challenge children, covering the expectations of the national curriculum. Also included, are print outs of key slides for children to use to help develop their reasoning skills ...

  5. Finding place value (video)

    4 years ago. Negative numbers use the same place values as positive numbers. The numbers are just on the other side of 0 on a number line. The values are just negative. If you are familiar with expanded form: 27 = 20+7. -27 = -20+ (-7) In both cases we have tens place and ones place. Hope this helps.

  6. Intro to place value: FAQ (article)

    Between 90 and -90, 90 is a much bigger number than -90. To explain more, 90 is just subtracted by 180 to make 90 to -90. For an equation, it's just like 90 - 180 = -90. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more.

  7. Place value

    Unit test. Level up on all the skills in this unit and collect up to 1,600 Mastery points! Start Unit test. 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 ...

  8. Place Value

    Round any number to the nearest 10, 100 or 1000; Solve number and practical problems involving the above and increasingly large positive numbers. Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include zero and place value.

  9. Place Value KS2

    Age 7 to 11. Challenge Level. Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

  10. What is Place Value? Definition, Examples, Facts

    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 ...

  11. Place Value Practice Questions

    The Corbettmaths Practice Questions on Place Value. Previous: Lowest Common Multiples (LCM) and Highest Common Factors (HCF) Practice Questions

  12. Place Value Word Problems

    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.

  13. NRICH topics: Place value and the number system Place value

    Resources tagged with: Place value Types All types Problems Articles Games Age range All ages 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level There are 133 NRICH Mathematical resources connected to Place value , you may find related items under Place value and the number system .

  14. Place Value Worksheets

    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.

  15. Place Value KS1

    Age 5 to 7. Challenge Level. 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.

  16. Module 2: Place value and problem solving with units of measure

    Using place value to add 3-digit numbers: part 1. Using place value to add 3-digit numbers: part 2. Estimating when adding multi-digit numbers. Adding 3-digit numbers. Breaking apart 3-digit addition problems. Addition using groups of 10 and 100. Three digit addition word problems.

  17. Place Value Worksheets for Practice

    These place value worksheets will create a test with twenty word problems for place values concepts. These place value worksheets are appropriate for Kindergarten, 1st Grade, and 2nd Grade. Rearrange Digits for the Largest and Smallest Numbers Worksheets

  18. 100+ KS1 Place Value Problem-Solving Activities

    Challenge Cards. Use these fun KS1 place value and problem-solving activities in the classroom or at home to aid children in their understanding of key mathematical concepts. Children will have the choice of solving word problems, completing investigations, playing maths mystery games and much more.

  19. Lesson: Problem solving with place value

    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. An additional activity to compliment this lesson would be to get pupils to ...

  20. Place Value Worksheets

    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 ...

  21. PDF Number: Number and Place Value with Reasoning

    Understanding Place Value) tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks (copied from Measurement) read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value. read Roman numerals to

  22. Place Value, Integers, Ordering and Rounding

    Place Value, Integers, Ordering and Rounding - Short Problems. This is part of our collection of Short Problems. You may also be interested in our longer problems on Place Value, Integers, Ordering and Rounding. Printable worksheets containing selections of these problems are available here.