There are nasty versions of this dice game but we'll start with the nice ones...
Who said that adding, subtracting, multiplying and dividing couldn't be fun?
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
By selecting digits for an addition grid, what targets can you make?
What happens when you add a three digit number to its reverse?
There are lots of ideas to explore in these sequences of ordered fractions.
Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...
Take any four digit number. Move the first digit to the 'back of the queue' and move the rest along. Now add your two numbers. What properties do your answers always have?
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 the differences to find the solution to this Sudoku.
This article suggests some ways of making sense of calculations involving positive and negative numbers.
A collection of short problems on place value, integers, ordering and rounding.