# Place Value Worksheets

Math Worksheets / Place Value Worksheets

Learning about **place value** enables children to confidently deal with **larger numbers.** This is an important skill for children to develop and it will help them throughout their **math education**. Our worksheets cover a range of questions from word problems involving place value, to fun activities on **writing cheques**. We have a wealth of resources to help elementary and middle school children learn about place value, and a variety of questions for them to practice their skills.

## Printable Place Value Worksheets

All of our place value worksheets are in **PDF format**, meaning they can be **easily downloaded and printed.**

The resources available through Cazoom Maths introduce children to larger numbers in an entertaining and enjoyable way, and help boost their confidence with numbers. Our place value resources can be used throughout their primary and secondary education: we have worksheets to help children **convert words to digits**, activities which introduce the place value of decimals, and more place value questions to download.

### Explanation of Place Value

Place value helps a child distinguish between their $10 pocket money and the $100 toy they spotted in a shop.

Understanding **place value is a valuable skill** for children to learn, and it is one which they will need throughout their education. It is a system by which we can understand what a number means, enabling us to perform **addition, subtraction, multiplication and division**. Students who have only a basic grasp on place value often struggle to perform sums with multi digit numbers, which can knock their confidence in math. Place value is one of the most fundamental elements of the math curriculum; it is the foundation for learning about decimals, multiple digit multiplication, and standard form notation. Knowing how place value works reduces the likelihood of students making errors in math questions, especially when they are dealing with larger numbers.

### The Importance of Learning About Place Value

Learning about place value helps children understand how to **name numbers**.

Although cheques are less common now, on a cheque it is necessary to write out the full name for a number to ensure that the correct amount of money is paid, and it is knowledge of place value which will enable someone to do this. Our worksheets provide a way for children to practice using digits and words to represent numbers, and master this important skill which they will use for life.

### What is place value?

In math, all digit numbers have a place value. It can be defined as a value represented by a digit in a number on the basis of their position.

Example: Define the value of all digit numbers in 3,567.

- The 3 represents three thousand or 3,000.
- The 5 represents five hundred, or 500.
- The 6 represents six tens, or 60.
- The 7 represents seven ones.

It is easy to define digit place value once you understand the value of each position in a number. The easiest way to learn the digit place value is through a place value grid:

### What is expanded form?

In expanded form we break up the number according to their place value and extend it to show the value of each digit.

Example: The expanded form od 1,475 is: 1,000 + 400 + 70 + 5

Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones | Decimal Point | Ones | Tens |

1 | 4 | 5 | 0 | 0 | 3 | 5 | . | 5 | 0 |

### What is expanded form?

In expanded form we break up the number according to their place value and extend it to show the value of each digit.

Example: The expanded form od 1,475 is: 1,000 + 400 + 70 + 5