01:640:107 Lecture Notes - Lecture 7: Division Algorithm, Multiplication Algorithm, Natural Number
9 Dec 2016
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Document Summary
We want to consider other ways of using place value in expressing natural numbers, beyond the usual system based on groupings of tens. Before moving to these different representations of the whole numbers and an examination of the place value algorithm when the groupings are different from the usual one, we explicitly unpack three more examples in the tens case. The standard algorithm involves working with the base ten expression starting with the units (ones), moving to the tens, the hundreds, and so on. First, for the ones place value, 9 + 2 = 11. Record 1 one as a part of the answer and carry the 1 ten to be combined with the remaining tens. Then we have 1 carried ten + 5 tens + 6 tens = 12 tens = 1 hundred plus 2 tens. The resulting digits are now written in the positions corresponding to tens and hundreds in the answer, which is 121.
