If a number N is expressed in binary by using only 'ones,' what
can you say about its square (in binary)? This article for the
young and old talks about the origins of our number system and
the important role zero has to play in it. 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? Start with any
number of counters in any number of piles. 2 players take it in
turns to remove any number of counters from a single pile. The
loser is the player who takes the last counter. A collection of
games on the NIM theme Have you seen this way of doing
multiplication ? A composite number is one that is neither prime
nor 1. Show that 10201 is composite in any base. Explore a
number pattern which has the same symmetries in different bases.
Let N be a six digit number with distinct digits. Find the
number N given that the numbers N, 2N, 3N, 4N, 5N, 6N, when
written underneath each other, fo