Place Value
Place value is the value a digit has because of its position in a number, with each place worth ten times the one to its right.
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Place value is the value a digit has because of its position in a number, with each place worth ten times the one to its right.
- In 3,482 the digit 4 means 4 hundreds
- Moving one place left multiplies the value by 10
- Zero holds a place when no value is present
🧠 Quick quiz
Three questions. Score 2 or more to complete the topic.
What is Place Value?
Within Mathematics, which covers numbers, algebra, geometry, trigonometry and statistics from first principles to exam level, this topic explains Place Value. Maths builds step by step, so each topic here gives you a rule, a picture and a quick check you can use on homework and in exams.
Check that you can explain Place Value in your own words and give one example from everyday life. If you can do that, you have understood the core idea.
Understanding Place Value gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
Place Value in detail
In our base-ten system, each digit is worth its face value multiplied by the value of its place: units, tens, hundreds, thousands and so on, with each place worth ten times the one to its right. In 3,482 the 4 stands for 4 hundreds, or 400, not just 4.
The same idea continues to the right of the decimal point, where the places are tenths, hundredths and thousandths. Zero acts as a placeholder, which is why 305 and 35 are very different numbers. Secure place value makes column addition, multiplying by powers of ten, rounding and decimals much easier.
How the interactive helps you understand Place Value
Click a step, or use the Previous and Next buttons, to move through the sequence one stage at a time. Auto-play moves on for you.
Before you change anything, predict the result. Then change one value at a time and check whether your prediction was right. This is a quick way to build a correct mental model of Place Value.
Real-life uses and examples
- Spot Place Value in exam questions, where it often sits inside a short word problem.
- Check a homework answer about Place Value by estimating first, then working it out step by step.
- Use Place Value when comparing prices, discounts or recipe quantities in everyday life.
Common mistakes to avoid
- Forgetting units, signs or brackets when you apply Place Value.
- Memorising the steps for Place Value without checking why they work.
- Learning the definition without testing it. Use the quiz and the interactive to check that you can apply the idea.
Frequently asked questions about Place Value
What is Place Value?
Place value is the value a digit has because of its position in a number, with each place worth ten times the one to its right.
What are the most important points about Place Value?
The main points are: In 3,482 the digit 4 means 4 hundreds; Moving one place left multiplies the value by 10; Zero holds a place when no value is present.
Why is Place Value useful?
Understanding Place Value gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
How can I practise Place Value?
Open the interactive at the top of this page and change the controls one at a time. Predict the result before each change, then take the three-question quiz. A score of two or more marks the topic as complete on this device.
Which topics are related to Place Value?
Related topics in Mathematics include Prime Numbers, Lowest Common Multiple, Negative Numbers.