Place Value Activities: Hands-On Games for Grades 1–5

Start With Tens and Ones: Base-Ten Blocks

Before students write digits in a chart, they need to see that ten ones really make one ten. Base-ten blocks make that visible: a rod is exactly as long as ten unit cubes, and a flat is exactly ten rods wide. Let students line up ten cubes next to a rod and check for themselves.

• Count a pile, then bundle it. Students count a handful of cubes by ones, then trade every ten cubes for a rod and count again by tens and ones.
• Build the same number differently. 34 can be 3 tens and 4 ones or 2 tens and 14 ones. Both are 34, and that idea is exactly what regrouping depends on.

Using a Place Value Chart

A place value chart is the bridge between blocks and digits. Each column holds one digit, and every column is worth ten times the column to its right. Start small and add columns as students are ready: ones to hundreds in grades 1–2, thousands up to millions in grades 3–4 (point out the ones, thousands and millions periods), and tenths to thousandths in grades 4–5.

Standard, Expanded and Word Form

Writing one number three ways shows what the digits mean. Standard form is 4,352. Expanded form adds the value of each digit: 4,000 + 300 + 50 + 2. Word form is how we say it: four thousand, three hundred fifty-two. Older students can also write expanded form with multiplication: 4 × 1,000 + 3 × 100 + 5 × 10 + 2 × 1.

1. Show one form, hide the others. Display the standard form, have students write the other two on whiteboards, then reveal them to check.
2. Work backward. Give the expanded form out of order, like 50 + 4,000 + 2 + 300, and ask for the standard form.
3. Watch for zeros. Expanded form skips them: 3,054 is 3,000 + 50 + 4. Ask why there is no hundreds term.

On the Place Value Chart, the standard, expanded and word forms each have their own Hide button. The Expanded form setting switches between Values (300 + 50 + 2) and Multiply (3 × 100 + 5 × 10).

Regrouping: Trading 10 Ones for 1 Ten

Regrouping is place value in action. In 27 + 15, the 7 ones and 5 ones make 12 ones, too many for one column, so 10 of them become 1 ten and 2 ones are left. Subtraction works the other way: in 42 − 17 there are only 2 ones, so a ten is broken into 10 ones before taking away 7. Students who have made these trades with blocks understand why column addition and subtraction work instead of just memorizing steps.

In Base-Ten Blocks mode, the tens and ones columns can hold more than nine blocks, and a column’s count turns red as a hint that it’s time to regroup. Once a column has ten or more, a Make a ten (or Make a hundred) button appears to bundle them. Tap a ten or a hundred on the mat to break it apart into ten smaller blocks.

Five Quick Place Value Games

Short games give students the repeated practice place value needs. Each one takes five to ten minutes and works with the whole class or partners. For more ideas, see review games students love.

Build the Number

Call out a number and students build it with blocks or quick sketches: squares for hundreds, lines for tens and dots for ones. Partners check each other. For a challenge, ask for a second way to build the same number.

Place Value Roll

Roll two dice: the first is the tens digit and the second is the ones. Students build the number, then say it in expanded form. Add a third die for hundreds. Standard dice only show 1 to 6, so for numbers with 0, 7, 8 or 9, draw digits with a random number generator instead.

Biggest Number Wins

Draw four digits. Students arrange them to make the largest possible number, then the smallest, and explain why the biggest digit goes on the left. For a harder version, reveal the digits one at a time; students must write each one in a box before seeing the next.

Mystery Number Riddles

Give clues like “I have 3 hundreds, 4 tens and 12 ones. What number am I?” (352). A clue with more than nine in one place makes students regroup in their heads. Once they know the format, students can write riddles for each other.

What’s the Value of the Digit?

Show a number, point to one digit and have students write its value, not just its place: in 6,482, the 4 is worth 400. On the Place Value Chart, Hide a digit covers one column with a ?; students name the missing digit, then you tap the ? to reveal it.

Introducing Decimals

Decimals continue the same pattern to the right: each column is worth one tenth of the column to its left. Students who know that ten ones make a ten can learn that ten tenths make a one. Start with money or a meter stick, then move to the chart.

• Name the places. There is no “oneths” place; tenths come right after the decimal point.
• Read the decimal point as “and.” 45.27 is forty-five and twenty-seven hundredths.
• Compare 0.5 and 0.50. On the Decimals: tenths & hundredths chart, type each one. The word form changes from five tenths to fifty hundredths, but the value is the same. Ask students why.
• Watch for a common mix-up. Students may think 0.25 is bigger than 0.3 because 25 is bigger than 3. Both on the chart, 3 tenths clearly beats 2 tenths.

Decimals and fractions support each other: 0.5 and 5/10 name the same amount. Our guide to teaching equivalent fractions has visual models that pair well with tenths, and the number line shows where a decimal falls between two whole numbers.

Printable Place Value Practice

The Place Value Chart prints two PDFs, in US Letter or A4, for whichever chart you picked:

• Download Blank Chart PDF gives empty rows with Name and Date lines. Use it for dictation: you say a number and students write one digit in each box.
• Download Practice Sheet PDF lists 1 to 20 random numbers, written in standard, word or expanded form (or Mixed), for students to write in the chart, plus an answer key.

For column addition, print graph paper as a square grid with 1/2 in or 1 cm squares so each digit gets its own box. On the hundreds chart, pick the 10s pattern, set Start at to 3 and press Count along to show that adding ten moves down one row.

Differentiating Place Value by Grade

Every activity above can be adjusted by changing the size of the numbers and the amount of support:

• Grade 1: Tens and ones up to 120. Bundle cubes, count by tens on the hundreds chart and build two-digit numbers.
• Grade 2: Hundreds, comparing three-digit numbers and expanded form. Regroup with blocks before writing it down.
• Grade 3: Rounding, and adding and subtracting within 1,000 with an explanation of each trade.
• Grade 4: Numbers to millions in all three forms, and why each place is ten times the place to its right.
• Grade 5: Decimals to thousandths, comparing and rounding decimals, and expanded form with multiplication.

Frequently asked questions