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It allows you to make an approximation for the final answer quickly. When the detailed answer has been calculated, if it is very different from the approximation then it is likely that a mistake has been made in either the approximation or the detailed calculation - you have no way of knowing which is wrong.

Note that there are circumstances where an approximation can be very different from the detailed calculation but both are correct. Division by a number close to zero can cause such problems.

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