If you are faced with a multiplication problem such 16×18 and want to find a quick and easy solution, then you can use the method of doubling and halving. This method involves breaking the problem down into simpler steps that can be solved quickly. This method is particularly useful for problems that involve two numbers that are close in value.
Steps to Solving 16×18 by Doubling and Halving
The first step in solving 16×18 by doubling and halving is to halve 16 and double 18. This will result in 8 and 36. This is a much simpler problem that can now be solved by multiplying 8 and 36 together. The result of this is 288, which is the answer to the original problem.
The second step is to simplify the problem further by halving 36 and doubling 8. This will result in 4 and 16. This is an even simpler problem that can be solved by multiplying 4 and 16 together. The result of this is 64, which is the same as the result of the first step.
The third step is to halve 64 and double 4. This will result in 32 and 8. This is an even simpler problem that can be solved by multiplying 32 and 8 together. The result of this is 256, which is the same as the result of the first two steps.
Finally, the fourth step is to halve 256 and double 2. This will result in 128 and 4. This is an even simpler problem that can be solved by multiplying 128 and 4 together. The result of this is 512, which is the same as the result of the first three steps.
In conclusion, the method of doubling and halving can be used to quickly and easily solve multiplication problems such as 16×18. By breaking the problem down into simpler steps, it can be solved in a few simple steps. This method is especially useful for problems that involve two numbers that are close in value.
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