There are **88** NRICH Mathematical resources connected to **Place value**, you may find related items under The Number System and Place Value.

Try out this number trick. What happens with different starting numbers? What do you notice?

Try out some calculations. Are you surprised by the results?

Have a go at balancing this equation. Can you find different ways of doing it?

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

What happens when you round these numbers to the nearest whole number?

Can you work out some different ways to balance this equation?

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?

Can you show that 1^99 + 2^99 + 3^99 + 4^99 + 5^99 is divisible by 5?

Can you replace the letters with numbers? Is there only one solution in each case?

How many six digit numbers are there which DO NOT contain a 5?

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

There are six numbers written in five different scripts. Can you sort out which is which?

Take any four digit number. Move the first digit to the end and move the rest along. Now add your two numbers. Did you get a multiple of 11?

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

Use your knowledge of place value to try to win this game. How will you maximise your score?

The Number Jumbler can always work out your chosen symbol. Can you work out how?

A school song book contains 700 songs. The numbers of the songs are displayed by combining special small single-digit cards. What is the minimum number of small cards that is needed?

Number problems at primary level that may require resilience.

Number problems at primary level that require careful consideration.

Number problems at primary level to work on with others.

Number problems for inquiring primary learners.

Where should you start, if you want to finish back where you started?

More upper primary number sense and place value tasks.

These tasks will help learners develop their understanding of place value, particularly giving them opportunities to express numbers as amounts.

One of the key ideas associated with place value is that the position of a digit affects its value. These activities support children in understanding this idea.

This article for primary teachers encourages exploration of two fundamental ideas, exchange and 'unitising', which will help children become more fluent when calculating.

In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

This article for primary teachers expands on the key ideas which underpin early number sense and place value, and suggests activities to support learners as they get to grips with these ideas.

This article develops the idea of 'ten-ness' as an important element of place value.

This feature aims to support you in developing children's early number sense and understanding of place value.

What happens when you round these three-digit numbers to the nearest 100?

Alf describes how the Gattegno chart helped a class of 7-9 year olds gain an awareness of place value and of the inverse relationship between multiplication and division.

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Becky created a number plumber which multiplies by 5 and subtracts 4. What do you notice about the numbers that it produces? Can you explain your findings?

Using balancing scales what is the least number of weights needed to weigh all integer masses from 1 to 1000? Placing some of the weights in the same pan as the object how many are needed?