The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 � 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
Find some examples of pairs of numbers such that their sum is a
factor of their product. eg. 4 + 12 = 16 and 4 × 12 = 48 and
16 is a factor of 48.
Do Unto Caesar
Age 11 to 14 Challenge Level:
In Poker the total money in the game doesn't change, just the
distribution between the players. What fraction of that total does
each player have at the start and at the finish? They can't all be
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embed rich mathematical tasks into everyday classroom practice.