Expanded notation (numbers to 100,000)

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, since students at this age benefit more from productive struggle than from being walked through each step, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These expanded notation worksheets work well as daily practice, homework, or a focused review activity.

These expanded notation worksheets for 4th grade give students the structured, hands-on practice they need to build confidence and fluency. Students work through a range of problem formats, from visual models and diagrams to written equations and word problems, so they encounter expanded notation from every angle. Each worksheet is designed to build on prior knowledge while introducing the level of challenge appropriate for 4th grade. Practicing expanded notation at this stage strengthens the mathematical foundations that support more advanced concepts in later grades.

Yes, both. We made it for 4th Grade place value, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with expanded notation. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

Expanded notation makes each digit's contribution to the total value explicit, helping students internalize that 7 in 47,253 means 7,000 - not just the numeral 7.

Expanded form writes each component as a number (40,000 + 7,000 + ...) while expanded notation may also use multiplication (4 × 10,000 + 7 × 1,000 + ...); these worksheets include both representations.

Multi-digit algorithms effectively decompose numbers by place value - students who understand expanded notation grasp why regrouping works rather than treating it as a memorized procedure.

24 printable worksheets, all free to preview. Downloads are included with a ClassWeekly free trial, and every page prints on standard 8.5 x 11 paper.

These are written for 4th Grade students, roughly ages 9-10. Many teachers also use them a grade up for review or a grade down as an extension, so use the preview to judge the fit for a particular child.

Yes. Each one shows the Common Core code it covers on its own page, so you can check the alignment yourself rather than taking our word for it.

Yes. Nothing here assumes a classroom of 25, so they work the same one-to-one at the kitchen table as they do in a 4th Grade classroom, a literacy centre, or a tutoring session.