Place value teaching resources

Place value is a foundational mathematical concept that refers to the value of a digit depending on its position within a number. In the British primary and secondary education system, understanding place value is essential for developing number sense, performing arithmetic operations, and grasping more advanced topics such as decimals, fractions, and percentages. For example, in the number 345, the digit 3 represents 300, as it is in the hundreds place.

Teaching place value helps pupils comprehend how our number system works, particularly the base-ten (decimal) system. This understanding enables learners to break down and build numbers, compare and order values, and perform calculations more efficiently. Place value is introduced in early years and Key Stage 1, where children learn to recognise units, tens, and hundreds, and is extended in Key Stage 2 to include thousands, decimals, and negative numbers.

Teachers use a range of resources and activities focused on place value, such as manipulatives (dienes blocks, place value charts, number lines), visual aids, games, and problem-solving exercises. These tools help make abstract concepts concrete, encourage exploration, and support differentiation by catering to varied learning needs. Place value resources can also be integrated into cross-curricular lessons, including science and financial education, to demonstrate practical uses of number representation.

Mastery of place value is critical for progress in mathematics, as it underpins skills such as mental calculation, estimation, and the use of standard written methods for addition, subtraction, multiplication, and division. Teachers may use place value activities for assessment, revision, intervention, or enrichment to ensure pupils have a secure understanding before moving on to more complex topics.