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hi there now in this video I want to look at the property of associativity and if we look at this definition here that if we take a close binary operation letamp;#39;s say defined by star here and thatamp;#39;s defined on a set R of real numbers then itamp;#39;s associative if we have a star B in brackets then star C equals a star and then in brackets B star C Iamp;#39;ll explain this in a moment through a few examples and this is true then for all elements a B and C of the set of real numbers now we should already be familiar with this when it comes to addition and multiplication these are associative operations as Iamp;#39;ll demonstrate suppose I take 2 plus 3 and then to this I add 4 what weamp;#39;ve got here is to add 3 which we know is 5 so Iamp;#39;ve got 5 add 4 and then 5 add 4 gives us 9 and if I now change this round to do 2 plus and then we look at doing 3 plus 4 first then what weamp;#39;ve got is 2 plus the total of 3 amp;amp; 4 which is 7 and then 2 plus 7 equa