The property of multiplying by 1 states that anything multiplied by 1 is unchanged. This is stated mathematically as a · 1 = a where a is an arbitrary number. This property can also be called the multiplicative property of 1.
Another way to think of the property of multiplying by one is to assume, for example, one is starting with three groups of two objects. How many objects will one have if one takes one of the groups? One will have two objects. So 1 · 2 = 2.
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