Small practice
brighter futures.
Checking sign-in status
Menu

Place value practice

Expanded notation worksheets for decimals

Expand decimals into digit-times-place products and reverse the process. Select 2–4 whole-number digits, 1–3 decimal places, and whether zero digits may appear.

Ready-made English PDF · fixed settings

Worksheet · LetterWorksheet · A4
Customize worksheet ↓
With answer key

Customization below makes a separate PDF.

First page of the expanded notation worksheets for decimals printable worksheetOpen full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Complete both parts: write digit-times-place products, then combine products into numerals.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
Customize this worksheet

Paper sizes and printing help · More place value activities

Connect the number and its place values

Preview every page, then download the same questions with an optional separate answer key. Long expressions wrap and continue onto additional pages while keeping the text readable.

Learning objective

What this activity builds

Use multiplication by fractional place units to explain and reconstruct a decimal value.

Worked example

Express 24.50 as a sum of place-value products.

(2 × 10) + (4 × 1) + (5 × 0.1) + (0 × 0.01)

The fractional units are one tenth and one hundredth. The zero product records the hundredths place; the full numeral keeps both selected decimal positions.

Teaching notes

Make the practice count

  • There are two parts: numeral to products, then products to numeral. Half the selected question count belongs to each part.
  • Use the zero-free option when first connecting fractional digits to units, then allow zeros to practice placeholders.
  • The largest setting has four whole digits and three decimal digits. Its expressions may wrap or continue to another page to remain readable.
  • Do not drop the leading zero from small place units such as 0.001 when first teaching the notation.
  • Each generated question is unique within the sheet. The answer key repeats the prompts with completed responses; page breaks match the student version.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Worksheet settings

Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out. Notes use the selected language’s supported characters; English accepts basic Latin text.

Configured PDF · Expanded notation: decimals · US Letter

Preview ready. Download includes these exact pages.

1 student page
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScore/ 20TeacherDateExpanded notation: decimalsComplete both parts: expand the numbers, then combine the place values.Write the number as a sum of digit × place-value products.1.43.652.68.253.40.344.12.665.91.246.46.037.16.778.10.559.39.2310.96.20Combine the place values and write the number.11.(5 × 10) + (6 × 1) + (8 × 0.1) + (2 × 0.01)12.(1 × 10) + (4 × 1) + (7 × 0.1) + (7 × 0.01)13.(4 × 10) + (2 × 1) + (7 × 0.1) + (2 × 0.01)14.(7 × 10) + (8 × 1) + (9 × 0.1) + (2 × 0.01)15.(2 × 10) + (5 × 1) + (8 × 0.1) + (8 × 0.01)16.(6 × 10) + (4 × 1) + (8 × 0.1) + (9 × 0.01)17.(5 × 10) + (0 × 1) + (9 × 0.1) + (5 × 0.01)18.(3 × 10) + (6 × 1) + (3 × 0.1) + (4 × 0.01)19.(5 × 10) + (3 × 1) + (4 × 0.1) + (0 × 0.01)20.(3 × 10) + (2 × 1) + (2 × 0.1) + (0 × 0.01)math-sheet.comPage 1 of 1

A useful next step

Related activities

Printable expanded notation worksheets for whole numbers worksheet preview

Place value

Expanded notation worksheets for whole numbers

Practice both directions of digit-times-place notation. Expand whole numbers into products, then turn products back into numerals, using 2–12 digits.

Preview and download
Printable expanded form worksheets for decimals worksheet preview

Place value

Expanded form worksheets for decimals

Decompose decimals into whole and fractional place values. Choose two or three whole-number digits and tenths, hundredths or thousandths.

Preview and download
Printable standard form worksheets for decimals worksheet preview

Place value

Standard form worksheets for decimals

Rebuild decimals from place-value sums. Practice tenths through thousandths with two or three whole-number digits and optional zero digits.

Preview and download