Place Value Worksheets
Place value is the foundation of all arithmetic — understanding that a digit's position determines its value. From tens and ones in KG to millions and decimals in Grade 5, these worksheets cover every key concept with visual support and printable practice pages.
Visual Base-10 Block Worksheets
Our KG–Grade 2 worksheets include interactive base-10 block diagrams — flats (hundreds), rods (tens), and unit cubes (ones) — so students can count the blocks and record the number. Perfect for students who learn best with concrete-pictorial-abstract (CPA) sequencing.
Place value topics by grade
Charts & Tables (KG–Grade 2)
Tens & Ones Chart
Fill a place value chart with tens and ones for 2-digit numbers.
Base-10 Blocks
Count flats, rods, and unit cubes to find the number.
Hundreds, Tens & Ones
Extend the chart to 3-digit numbers in a H|T|O table.
Identify the Digit
What is the value of the underlined digit? Name the place.
Place Value Charts
Mixed charts up to 4- and 5-digit numbers.
Expanded Form & Standard Form (Grade 1–4)
Expanded Form — 2-Digit
Write 47 as 40 + 7. Introduces place-value decomposition.
Expanded Form — 3 & 4-Digit
Break numbers like 3,456 into 3000 + 400 + 50 + 6.
Expanded Form — Large Numbers
Expanded form for numbers up to one million.
Standard Form
Convert expanded form or word form back to standard form.
Word Form
Write numbers in words and words as numerals.
Comparing & Ordering Numbers (Grade 1–5)
Compare 2-Digit Numbers
Use <, >, = to compare pairs of 2-digit numbers.
Compare 3 & 4-Digit Numbers
Compare numbers up to 9,999 using place value reasoning.
Compare Large Numbers
Compare 5- and 6-digit numbers and numbers up to one million.
Order Small Numbers
Arrange sets of 2- and 3-digit numbers from smallest to largest.
Order Large Numbers
Order sets of 4–7 digit numbers in ascending or descending order.
Writing Numbers & Number Lines (KG–Grade 3)
Writing 0–20
Number recognition and formation for numbers 0 to 20.
Writing 2 & 3-Digit Numbers
Count base-10 blocks and write the matching number.
Before & After
Write the number that comes just before or just after.
Number Lines
Plot and identify numbers on open and scaled number lines.
Decimal Place Value (Grade 4–5)
Decimal Place Value
Tenths, hundredths, thousandths — identify the digit and its value.
Expanded Form — Decimals
Write 3.57 as 3 + 0.5 + 0.07. Standard and fraction notation.
Compare Decimals
Use <, >, = to compare decimals to hundredths.
Order Decimals
Arrange sets of decimals in ascending or descending order.
Applied & Mixed Review (Grade 2–5)
Place Value Puzzles
"I have 4 hundreds, 7 tens, and 2 ones. What number am I?" Mystery number clues.
Mixed Place Value Review
A mixed page combining charts, expanded form, comparing, and writing.
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Place value underpins all arithmetic
Every addition, subtraction, multiplication, and division algorithm requires a secure understanding of place value. Students who master these concepts early progress through arithmetic much faster.
Why place value is the most important early maths concept
Our number system is a base-10 positional system, meaning the value of every digit depends entirely on where it sits within a number. The digit 3 is worth 3 in the ones place, 30 in the tens place, 300 in the hundreds place, and 3,000 in the thousands place. Without a secure grasp of this idea, standard algorithms for addition, subtraction, multiplication, and division cannot be understood — only memorised.
The concrete–pictorial–abstract (CPA) approach
The most effective way to teach place value is through the CPA sequence:
- Concrete: physical base-10 blocks — unit cubes, ten-rods, hundred-flats, thousand-cubes
- Pictorial: drawn representations of blocks; place value charts filled in by hand
- Abstract: numerals, expanded form, symbolic comparison (<, >, =)
ZestMath's base-10 block worksheets sit at the pictorial stage — students see block diagrams and must identify the matching number before moving to purely abstract notation.
Grade-by-grade place value progression
- KG: Count to 20; understand tens and ones for numbers 11–19
- Grade 1: Tens and ones for all 2-digit numbers; compare 2-digit numbers
- Grade 2: Hundreds, tens, and ones; expanded form; count within 1,000
- Grade 3: Numbers to 10,000; round to nearest 10, 100, 1,000
- Grade 4: Numbers to 1,000,000; decimals to hundredths; compare decimals
- Grade 5: Decimals to thousandths; multiply and divide by powers of 10
Common place value misconceptions
The most frequent errors are: treating digits as face values regardless of position (writing 2,305 as "2000 + 3 + 0 + 5" instead of "2000 + 300 + 0 + 5"), reversing digits when writing numbers from words (writing 61 for "sixteen"), and misaligning decimal points when comparing decimals. The worksheets on this page target these specific misconceptions with structured practice.