Math 1st and 2nd grade

How to Teach Place Value (Tens, Ones, and Beyond)

Quick answer

To teach place value, start with hands-on grouping: show your child that numbers are built from groups of tens and leftover ones. Use base-ten blocks, pennies and dimes, or bundled straws so they can see and touch the structure. Practice reading numbers aloud as “3 tens and 5 ones” instead of just “35.” Most kids learn tens and ones in 1st grade and add hundreds in 2nd grade.

Place value is the single most important concept in elementary math, and it’s also one of the trickiest to teach because it’s invisible. A child can count to 100 without understanding that 47 means 4 groups of ten and 7 singles. Below is how to teach place value step by step, the tools that make it concrete, and the signs that it’s really sticking.

What is place value?

Place value is the idea that a digit’s position tells you its value. In the number 52, the 5 means 50 (5 tens) and the 2 means 2 (2 ones). The digit itself doesn’t change, but where it sits does.

This concept is what lets us write big numbers with just ten digits. It’s also the foundation for every multi-digit operation: when kids add 28 + 16, they’re adding tens to tens and ones to ones because of place value.

In the Common Core, place value appears early:

  • Kindergarten (K.NBT.A.1): compose and decompose numbers 11 to 19 into ten ones and some more ones.
  • 1st grade (1.NBT.B.2): understand that two-digit numbers are made of tens and ones.
  • 2nd grade (2.NBT.A.1): understand that three-digit numbers are made of hundreds, tens, and ones.

Start with tens and ones (1st grade)

Begin with two-digit numbers and the idea that every number bigger than 9 is made of groups of ten and leftover ones.

Step 1: Make tens concrete

Use something your child can count and bundle:

  • Base-ten blocks: the gold standard. A unit cube is 1, a rod is 10.
  • Pennies and dimes: 10 pennies become 1 dime.
  • Straws or craft sticks: bundle 10 singles with a rubber band.

Pick a number like 23. Have your child count out 23 objects, then group them into tens. They’ll end up with 2 groups of ten and 3 singles. That’s what 23 is.

Step 2: Connect the groups to the digits

Write the number 23 and point to each digit:

  • The 2 sits in the tens place, so it means 2 tens (20).
  • The 3 sits in the ones place, so it means 3 ones (3).

Have your child build the number with blocks, then write it. Then reverse: you write a number and they build it. Back and forth is how it sticks.

Step 3: Practice reading and writing two-digit numbers

Give your child a pile of blocks and call out a number: “Make 47.” They should grab 4 tens and 7 ones. Then flip it: show them 4 tens and 7 ones and ask what number it is.

Once that feels easy, try it without blocks. Write 56 and ask, “How many tens? How many ones?” If they can answer without counting, place value is starting to click.

Add hundreds (2nd grade)

Once tens and ones are solid, the jump to hundreds is just one more column.

Take the number 342:

  • The 3 is in the hundreds place, so it means 3 hundreds (300).
  • The 4 is in the tens place, so it means 4 tens (40).
  • The 2 is in the ones place, so it means 2 ones (2).

Use base-ten blocks again: a flat square is 100, a rod is 10, a unit cube is 1. Have your child build 342 with 3 flats, 4 rods, and 2 cubes. Then write it and read it aloud: “3 hundreds, 4 tens, 2 ones.”

The 3 mistakes kids make most (and how to fix them)

Fun ways to practice place value at home

Place value sticks when kids use it in different ways, not just worksheets. A few ideas:

  • Number hunt: call out a number and have your child find it on a hundred chart, then tell you how many tens and ones.
  • Build and guess: one person builds a number with blocks (or draws it), the other guesses what it is.
  • Compare two numbers: write 46 and 52 and ask which is bigger and why. A child who understands place value will say ‘5 tens is more than 4 tens.’
  • Money math: use dimes and pennies to make amounts like 73 cents. This is place value with a real-world reason.
  • Roll and write: roll two dice, decide which digit goes in the tens place and which in the ones, then build the number.

Keep sessions short (5 to 10 minutes) and concrete. If your child is frustrated, go back to blocks and grouping for a few more days before trying worksheets.

How to know your child understands place value

Your child has a solid grasp of place value when they can:

  • Build a two-digit or three-digit number with blocks and explain what each digit means.
  • Write a number correctly when you tell them ‘4 tens and 7 ones.’
  • Compare two numbers and explain which is bigger using place value language (‘6 tens is more than 5 tens’).
  • Recognize that the zero in a number like 206 is a placeholder.
  • Line up numbers correctly when adding or subtracting because they know which columns match.

When those feel automatic, your child is ready for regrouping in addition and subtraction, which both rely on place value.

Free Place Value Practice Worksheet

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The easiest way to give your child practice

Teaching place value at home takes patience because the concept is abstract and kids need to see it built over and over before it clicks. That’s where Octolearn helps: describe the skill in plain language (‘place value with tens and ones’), and it generates a grade-matched practice set with read-aloud support, a hint and a second try on every question, and stars that keep kids motivated. It’s free to try and takes the guesswork out of what to practice next.

Frequently asked questions

What is place value and why is it important?
Place value is the idea that a digit's position in a number tells you its value. The 3 in 35 means 3 tens (30), not just 3. This concept is the foundation for all multi-digit math: addition, subtraction, multiplication, and division. Without place value, kids can't understand why we line numbers up in columns or what carrying and borrowing actually mean.
What grade do kids learn place value?
Place value begins in kindergarten with counting to 100 and recognizing that teen numbers are made of a ten and some ones. In 1st grade (Common Core standard 1.NBT.B.2), children understand that two-digit numbers have tens and ones. In 2nd grade (standard 2.NBT.A.1), they extend this to hundreds, tens, and ones and can read, write, and compare three-digit numbers.
How do I explain tens and ones to my child?
Use objects they can count and group. Ten pennies become one dime, ten single blocks become one ten-stick. Show them that 34 is not just 34 separate things but 3 groups of ten and 4 singles. Have them physically make the number with blocks or bundled straws so they see the structure, not just the digits.
What are the best tools to teach place value at home?
Base-ten blocks are the gold standard because kids can hold the tens and ones. If you don't have blocks, use pennies and dimes, single straws and bundles of ten, or draw quick sketches of sticks and bundles. A hundred chart also helps kids see patterns (the tens column repeats, every row is one more ten). Keep it hands-on and concrete before moving to worksheets.
How can I tell if my child understands place value?
Ask them to build a number like 42 with blocks or coins and explain what each digit means. If they can say '4 tens and 2 ones' and show you the groups, they've got it. Also watch how they add: a child who understands place value will line numbers up correctly and know why we regroup. If they're still counting by ones for everything, place value hasn't clicked yet.