Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
What do you notice about these families of recurring decimals?
Can you express every recurring decimal as a fraction?
Try to solve this very difficult problem and then study our two suggested solutions. How would you use your knowledge to try to solve variants on the original problem?
