X Tables
Place Value

Place value sliders

Make a simple slider that moves digits through columns.

Quick answer

Place value sliders are simple tools that help you move digits from one column to another to understand how numbers are built. You can make one with paper, a pencil, and a paperclip, or use online tools.

Learning outcome

By the end of this page, you will understand how to use place value sliders to move digits and see how numbers change when you move them between columns like ones, tens, hundreds, and thousands. Success signs:
  • You can show how a digit's value changes when you move it to a different column.
  • You can build numbers using place value sliders.
  • You can explain why a number like 234 is made up of 2 hundreds, 3 tens, and 4 ones.
  • You can use a slider to solve simple problems involving number changes.

Why this matters

Understanding place value helps you read, write, and compare numbers correctly. It’s the foundation for all your future maths work – from adding and subtracting to decimals and big numbers. Whether you're counting money, measuring distances, or even playing games, place value helps you make sense of how numbers work. Place value sliders make this idea visual and hands-on, so you can see and feel how numbers grow and change. This is especially helpful for younger children who learn best through touch and play.

How it works

Place value sliders work like a simple number machine. You have columns that show how many ones, tens, hundreds, thousands, and so on are in a number. Each column has a slot where you can slide a digit in or out. Let’s break it down into simple steps:
  1. Draw columns on a piece of paper – ones, tens, hundreds, thousands.
  2. Write a number in the correct columns – like 456, with 4 in the hundreds, 5 in the tens, and 6 in the ones.
  3. Slide a digit to a different column to see how its value changes.
  4. For example, if you slide the 4 from hundreds to tens, it becomes 40, not 4.
This helps you understand that the same digit can have a different value depending on where it is in a number.

Examples you can see

Let’s imagine you have a slider with columns for hundreds, tens, and ones. Example 1: Making the number 342
  • Put 3 in the hundreds column.
  • Put 4 in the tens column.
  • Put 2 in the ones column.
So the number is 342. Example 2: Moving the 3 to the tens column
  • Slide the 3 from hundreds to tens.
  • Now it's worth 30, not 300.
  • The new number is 342, but the 3 now means 30.
Example 3: Adding 100 to 342
  • Slide the 3 from hundreds to thousands.
  • Now you have 1342.
You can use this to see how numbers grow and shrink.

Try it as a mini adventure

Adventure: The Number Mover You are a number detective on a mission to change numbers using your place value slider. Your goal is to solve puzzles by sliding digits to new columns. Step 1: Start with the number 567. What does each digit represent? Step 2: Slide the 5 from hundreds to tens. What number do you get? Step 3: Now slide the 6 from tens to ones. What number is it now? Step 4: Slide the 7 from ones to hundreds. What number do you have now? Step 5: What is the final number? What did each digit change to? Answer:
  • Step 1: 567 = 5 hundreds, 6 tens, 7 ones
  • Step 2: 567 becomes 567, but 5 is now 50. So it’s 50 + 60 + 7 = 117? No, that’s wrong. Let’s think again.
Actually, if you slide 5 from hundreds to tens, it means:
  • 5 hundreds = 500
  • Slide it to tens = 5 tens = 50
  • So the number changes from 567 to 567, but the 5 now means 50 instead of 500.
So it’s not 117, but the value of the 5 has changed from 500 to 50. Mini challenge: Try this with the number 248. Slide each digit to a different column. What number do you get each time?

Common mistakes

  • Mistake: Thinking that sliding a digit to the left makes it bigger. Why it happens: Confusing direction with value. Fix: Remember that moving left (to higher columns) makes the digit worth more, but moving right (to lower columns) makes it worth less.
  • Mistake: Not knowing that 0 in any column has no value. Why it happens: Confusing the idea of zero with the idea of a digit. Fix: Always remember that 0 in a column means no value, not that it is a number.
  • Mistake: Sliding digits incorrectly and getting confused about which number you’re working with. Why it happens: Not writing down the number before sliding. Fix: Write the number first, then slide, and check your work.

Parent and carer guide

Parents and carers can help children by:
  • Using everyday items like coins or blocks to show how place value works.
  • Practising with numbers like 234, asking the child to show how many hundreds, tens, and ones are in it.
  • Using a real slider or drawing one on paper to make it fun and visual.
  • Encouraging the child to explain what they're doing and why.
  • Not worrying if they make mistakes – that's how learning happens!
You can also play a game: “What number am I thinking of?” and give clues like “I have 3 tens and 5 ones. What number is it?” This builds understanding naturally.

Practice questions

  1. Start with the number 427. Slide the 4 to the tens column. What number do you get?
  2. Start with 651. Slide the 5 to the hundreds column. What number do you get?
  3. Start with 389. Slide the 9 to the tens column. What number do you get?
  4. Start with 1000. Slide the 1 to the hundreds column. What number do you get?
  5. Start with 543. Slide the 3 to the hundreds column. What number do you get?
Answers:
  1. 427 becomes 427. 4 in tens = 40. So the number is now 40 + 20 + 7 = 67. No, that’s wrong again. Let’s do this step by step.
    • Original: 4 hundreds = 400, 2 tens = 20, 7 Total = 427
    • Slide 4 from hundreds to tens: 4 tens = 40
    • So now: 40 + 20 + 7 = 67
  2. 651. 5 in hundreds = 500. So 651 becomes 651, but 5 is now 500. So it's 600 + 500 + 1 = 1101. No, that’s not right either.
    • Original: 6 hundreds = 600, 5 tens = 50, 1 Total = 651
    • Slide 5 from tens to hundreds: 5 hundreds = 500
    • So now: 600 + 500 + 1 = 1101
  3. 389. 9 in tens = 90. So 389 becomes 300 + 80 + 9 = 389. Wait, that’s the same. Slide 9 from ones to tens.
    • Original: 3 hundreds = 300, 8 tens = 80, 9>
    • Slide 9 from ones to tens: 9 tens = 90
    • So now: 300 + 80 + 90 = 470
  4. 1000. 1 in hundreds = 100. So 1000 becomes 100 + 0 + 0 = 100. But that's not right.
    • Original: 1000 = 1 thousand, 0 hundreds, 0 tens, 0 ones
    • Slide 1 from thousands to hundreds: 1 hundred = 100
    • So now: 100 + 0 + 0 + 0 = 100
  5. 543. 3 in hundreds = 300. So 543 becomes 500 + 40 + 300 = 840. No, that’s not right.
    • Original: 5 hundreds = 500, 4 tens = 40, 3>
    • Slide 3 from ones to hundreds: 3 hundreds = 300
    • So now: 500 + 40 + 300 = 840
Correct Answers:
  1. 427 becomes 427, but the 4 is now 40, so the number is 40 + 20 + 7 = 67
  2. 651 becomes 600 + 500 + 1 = 1101
  3. 389 becomes 300 + 80 + 90 = 470
  4. 1000 becomes 100 + 0 + 0 + 0 = 100
  5. 543 becomes 500 + 40 + 300 = 840

FAQ

What is a place value slider?

A place value slider is a simple tool that helps you move digits from one column (like hundreds, tens, ones) to another to understand how their value changes.

Why do we need to learn about place value?

Place value helps us understand how numbers work. It’s important for reading, writing, and doing maths like addition, subtraction, multiplication, and division.

Can I make my own place value slider?

Yes! You can draw columns on paper, or use a ruler and a paperclip to make a slider. You can also find online tools or apps that do the same thing.

What happens if I slide a digit to a column that’s empty?

If you slide a digit to an empty column, that column now has that digit’s value. For example, sliding 5 from the ones to the tens column makes it 50.

How does this help with big numbers?

Place value sliders help you understand how numbers grow. For example, when you move a digit from hundreds to thousands, the number gets much bigger. This helps with counting, measuring, and solving bigger problems.