01:640:107 Lecture 4: Whole number operations: Subtraction

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We want to move on to the second simple operation on whole numbers: subtraction. A practical feel can be given for this process even before a definition is made. For the first description, a starting number of objects is given, and a given number of them are removed one at a time. The remaining number of objects is the result of the subtraction. For the second description, two different groups of objects are given, and one from each group is paired off and removed until all of the ones from the smaller group are gone. The remaining number of objects from the larger group is the result of the subtraction. Notice that we can talk about taking away or pairing off the same number of objects, in which case none are left. So it is natural to define subtraction in the slightly larger context of the whole numbers, 0, 1,

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