8*37 = 8*(30+7)
= 8*30 + 8*7 [that is using the distributive property]
= 240 + 56 = 296
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Numbers do not have a distributive property. The distributive property is an attribute of one arithmetical operation over another. The main example is the distributive property of multiplication over addition.
The DISTRIBUTIVE property is a property of multiplication over addition (or subtraction). In symbolic terms, it states that a * (b + c) = a * b + a * c
3(7 + 2) = 3x7 + 3x2 is an example of the distributive law.The distributive law connects multiplication and addition.
The distributive property is a red herring for this question: you do not need it! The distributive property is applicable when you have two binary operations - multiplication and addition, for example. This question has nothing of the sort. Perhaps you meant some other property.
The distributive property of multiplication over addition is x*(y + z) = x*y + x*zIt is used in multiplication through chunking.For example, to calculate 4*56, you can break up the 56 into 50+6.Then4*56 = 4*(50 + 6) = 4*50 + 4*6 = 200 + 24 = 224.