Place Value Pieces

Place Value Pieces helps students break decimal numbers apart so they can see the value of every digit. Students rewrite each decimal in expanded form, showing the contribution of the tens, ones, tenths, hundredths, and thousandths places. The worksheet strengthens decimal place value, expanded notation, standard form, digit value, number decomposition, and decimal understanding. It is especially useful for students in grades 4-6 who need to understand that each digit has a different value depending on where it appears.

Learning Goals

• Identify place values: Students recognize tens, ones, tenths, hundredths, and thousandths.
• Break numbers apart: Learners rewrite a decimal as the sum of its place-value parts.
• Understand digit value: Students see that the same digit can represent very different amounts depending on its position.
• Connect forms: Children move comfortably between standard form and expanded form.

How This Helps

• Builds strong decimal foundations: Students learn what each digit actually means instead of treating the decimal as one long number.
• Supports parent guidance: Adults can ask, “What is this digit worth in this position?”
• Prepares students for operations: Strong place-value understanding helps with decimal addition, subtraction, multiplication, and division.
• Works across settings: Use it for classroom lessons, homework, tutoring, intervention, or homeschool instruction.
• No-prep format: The worksheet is ready to print and use immediately.

Expanded form makes decimal place value much easier to understand. For example, 4.27 is not just “four point two seven.” It represents 4 ones, 2 tenths, and 7 hundredths. Writing the number as 4 + 0.2 + 0.07 helps children see exactly what each digit contributes. As learners complete the page, they strengthen place-value fluency, decimal notation, number decomposition, mathematical vocabulary, and confidence. In classroom and homeschool settings, this worksheet provides a strong foundation for nearly every later decimal skill.