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Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below.
1) There are not enough experiences in the life of a child where she needs to divide numbers that are not very small.
2) Division is taught to a child as a written algorithm even before she does any activities: involving division to understand its meaning.
3) In the division algorithm we move from left to right, whereas all other operations are applied from right to left.
4) Division is not a commutative operation. (For example, 6 + 3 is not the same as 3 + 6.) You can think of other reasons while doing the following exercise.
expand (2x+7y)^
1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.
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