The law of operations defines the order in which operations should be carried out. This is to ensure that a mathematical expression gives the same answer each time. Otherwise 5 + 3 * 6 could be evaluated as either of the following:+ first gives: 8 * 6 = 48
* first gives: 5 + 18 = 23
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It is important because it encapsulates the order in which we must perform mathematical operations. If we don't apply it, quite simply we get the wrong answer! 4 x 6 + 3 = 27, NOT 36.