Convert between Expanded, Standard and Word Format of Decimals

Understanding the base-ten number system and the concept of place value is strengthened by practicing conversions between different number formats, such as standard, expanded, and word forms. This process highlights the importance of each digit's position within a decimal number.

The expanded form of decimals shows the sum of the values of each digit in the number. Writing decimals in an expanded form means writing each number according to its place value. Using fractions in the expanded form of decimals shows the value each digit represents and connects decimals and fractions. By breaking down the numbers in this way, it helps students to visualize and understand how digits combine to form larger numbers.

To support this learning, this  structured series of sets of worksheets consists of carefully sequenced practice materials that teachers can select based on student readiness. Each component builds upon previous knowledge:

Foundation Skills:
- Begin with expressing decimals in expanded fractional form as standard numbers
- Progress to converting expanded decimal form into standard notation
- Practice both skills with integrated exercises

Intermediate Concepts:
- Work backward from standard numbers to expanded fractional form
- Transform standard notation into expanded decimal representations
- Apply these skills with practical, real-world examples

Advanced Applications:
- Work with more complex multipliers to prepare for word problems
- Read and write numbers expressed in words (available in two difficulty levels)

Two regional variations exist for expressing numbers in words:

1. American style: "one hundred fifty-two"
2. British/Australian style: "one hundred and fifty-two"

How many Worksheets in each Set ?
Almost unlimited. At the click of a button all numbers are randomised, so the questions change every time.  This will allow you to create as many new worksheets you will need for practice throughout the year (classwork, homework, revision, fillers etc) or even give small groups of students in your class different sets of questions either at the same level or differentiated. There will certainly be enough to ensure fluency in this topic. 

As these worksheets need little explanation, they are ideal if you need to leave work for a replacement teacher.

Answers can be found on the second page of every worksheet, automatically generated when you create a new worksheet.

Note
These resources are PDF documents and work with the official  Adobe Acrobat Reader on Windows or Mac computers with the randomising buttons also working via a touchscreen (PC or Mac) or on an Interactive Whiteboard.