Expanded Notation for 5 and 6 Digit Numbers

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.

Write 8 numbers like 645,142 and 22,948 in expanded notation, skipping every digit that is 0. Expanded notation writes each digit times its place value and skips any 0: 304,015 = (3 x 100,000) + (4 x 1,000) + (1 x 10) + (5 x 1). The directions on the page read: Write each number in expanded notation on its two lines. Use x for times, and skip every digit that is 0. An answer key is included.

Yes, both. We made it for 4th Grade place value & rounding, 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 form adds the digit values, so 22,948 = 20,000 + 2,000 + 900 + 40 + 8. Expanded notation multiplies each digit by its place value, so 22,948 = (2 x 10,000) + (2 x 1,000) + (9 x 100) + (4 x 10) + (8 x 1).

Skip it, because a 0 is worth nothing in its place. 468,044 has no hundreds part: (4 x 100,000) + (6 x 10,000) + (8 x 1,000) + (4 x 10) + (4 x 1).

Yes. Both expanded notation sheets have an answer key.