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|largest multiple of 5||60||35|
|nearest to 50||42||42|
|largest multiple of 5||45|
|nearest to 50||32|
|largest multiple of 5||25||35||65||45||35|
|nearest to 50||49||49||49||32||42|
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It is interesting that some of you decided that zero could only be a ones digit whereas others thought it could go in the tens column too. I wonder whether you could convince us one way or the other. Max from BRES gave the following which only uses zero in the ones column:
largest even number: 98
largest odd number: 75
smallest odd number: 13
largest multiple of 5: 60
number closest to 50: 42
So, we have many possible solutions to this challenge. How do we judge which solution is 'best'?
Well, we could decide that 'best' means as near as possible to the ideal number which has each property. So, the ideals would be 98, 97, 13, 95 and 50 if we decide that zero can only be in the ones column. One way to judge how close a solution is to the ideal might be to work out the difference between the ideal number and the one you have. So, for example, for Max's solution: 98, 75, 13, 60, 42...
98 is ideal, therefore, the difference is zero.
75 is twenty-two away from the ideal 97.
13 is the ideal.
60 is thirty-five away from the ideal.
42 is eight away.
So, we could say that in total, the difference is sixty-five.
Find a great variety of ways of asking questions which make 8.
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