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As someone with a pragmatic, visual mind, I rely entirely on this kind of reasoning in order to understand and apply math. For example: - Multiplication is rep
by cryptica 6y ago
As someone with a pragmatic, visual mind, I rely entirely on this kind of reasoning in order to understand and apply math. For example:
- Multiplication is repeated addition.
- Power is repeated multiplication.
- The square of a number can be visualized as a geometric square when you duplicate a row of x items x number of times.
- The cube of a number can be visualized as a geometric cube when you duplicate a row of x items x number of times and then you take the resulting geometric square and duplicate it x times along the orthogonal axis.
- n to the power of p can be visualized as a tree with height p such that each branch splits up into n branches at each level.
- The logarithm base x of y is the height 'number of levels' of the tree when each branch splits into x branches at each level until the number of tips is equal to y.
- A factorial can be visualized as a tree whose branches split up in such a way that there is one fewer branch at each level until the branches cannot be split anymore.