### NRICH PROBLEM SOLVING PLACE VALUE

This article builds on Early Number Sense and develops the idea of ten-ness. Becky created a number plumber which multiplies by 5 and subtracts 4. Making Sense of Positives and Negatives Age 11 to 14 This article suggests some ways of making sense of calculations involving positive and negative numbers. When this 2-digit number is reversed and squared, the difference between the squares is also a square. A Sense of ‘ten’ and Place Value Age 5 to 7 Once a basic number sense has developed for numbers up to ten, a strong ‘sense of ten’ needs to be developed as a foundation for both place value and mental calculations.

Investigate which numbers make these lights come on. What do you notice about the numbers that it produces? What do you notice? Number problems at primary level to work on with others. The numbers of the songs are displayed by combining special small single-digit cards. 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? This is a game in which your counters move in a spiral round the snail’s shell.

Can you figure out what they were? Register for our mailing list. Did you get a multiple of 11?

Can you explain your findings? Did you get a multiple of 11?

There are nasty versions of this dice game but we’ll start with the nice ones Can you sort out the clues and find the number? Watch our videos of multiplication methods that you may not have met before. 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?

Use your knowledge of place value to beat your opponent.

# Place Value KS1 :

Use the differences to find the solution to this Sudoku. Can you find different ways of doing it? A school song book contains songs. This activity involves rounding four-digit valur to the nearest thousand.

Method in Multiplying Madness? In how many different ways can you do it? How Many Miles to Go?

# Place Value: the Ten-ness of Ten :

Using the information given, can you replace the problemm in the calculation with figures? How would you create the largest possible two-digit even number from the digit I’ve given you and one of your choice?

Who had made the highest even number?

Number Detective Age 5 to 11 Challenge Level: To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level: Can you build it up?

## Place Value KS2

Place the numbers from 1 vvalue 9 in the squares below so that the difference between joined squares is odd. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. My ones digit is twice my tens digit.

Age 7 to 11 Challenge Level: What happens when you round these three-digit numbers to the nearest ? Can you work out some different ways to balance this equation? What two-digit numbers can you make with these two dice?

Age 11 to 14 Challenge Level: Powers of numbers behave in surprising ways. Each of the different letters stands for a different number.

What is the sum of the numbers that are diagonally opposite each other? How many different ways can you do this?