Printable Decimal Expanded Form Worksheet | Grade 5 Math

This worksheet provides targeted practice for Grade 5 students on converting decimals between standard form and expanded form using fractions. Through a series of structured problems, learners will reinforce their understanding of place value and how it relates to decimal and fractional parts, building a solid foundation for more complex number operations.

At a Glance

• Grade: 5 · Subject: Math
• Standard: CCSS.MATH.CONTENT.5.NBT.A.3 — Read, write, and compare decimals to thousandths.
• Skill Focus: Converting decimals between standard and expanded form
• Format: 2 pages · 5 problems · Answer key included · PDF
• Best For: Independent practice, homework, or formative assessment
• Time: 10–15 minutes

What's Inside

This resource consists of a single-page worksheet with five distinct problems and a complete one-page answer key showing the step-by-step solutions. The tasks require students to convert numbers from expanded form (written with fractions) into standard decimal notation and vice versa, challenging them to apply place value concepts for tenths and hundredths.

Skill Progression

The worksheet follows a clear progression that supports student learning:

• Guided Practice: The first two problems ask students to compose a decimal from its expanded fractional parts, providing a direct application of place value.
• Supported Practice: The next problems reverse the task, asking students to decompose decimals into their expanded forms, reinforcing the connection between decimal places and fractional equivalents.
• Independent Practice: The final problem uses a number with whole and decimal parts (12.43), requiring students to integrate the skill independently. This gradual release ensures students build confidence.

Standards Alignment

This worksheet is aligned with Common Core standard CCSS.MATH.CONTENT.5.NBT.A.3, which requires students to "Read, write, and compare decimals to thousandths." It specifically targets sub-skill 'a': "Read and write decimals... using... expanded form." This exercise provides essential practice for mastering decimal representation. The standard code can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this as independent practice after a lesson on decimal place value. It is also an effective math center activity or homework assignment. For formative assessment, observe which students convert forms quickly and which struggle with place value after the decimal point. The worksheet should take 10 to 15 minutes to complete.

Who It's For

This resource is for 5th-grade students working on the Number & Operations in Base Ten domain. For students needing support, pair this with a place value anchor chart. It's a great precursor to lessons on comparing or performing arithmetic with decimals.

Mastering decimal representation is a key predictor of success in middle school mathematics. This worksheet offers practice on CCSS.MATH.CONTENT.5.NBT.A.3, where students write decimals in expanded form. This skill builds a conceptual understanding of the base-ten system. Research from Fisher & Frey (2014) highlights the importance of moving students from guided to independent practice, a structure used here. By engaging with these 5 problems, students develop a precise understanding of place value essential for future mathematical reasoning. The ability to convert between standard and expanded forms demonstrates a grasp of number composition, a foundational element for subsequent math learning.