Well, you need to know what the distributive property is. I don't know how to expain it, but here is an example for the expression 76 x 40:
(76 x 4) + (76 x 0)
So, I think you might get the idea.
-From a smart 10-year-old 6th grade student.
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17*9 = 17*(10-1) = 17*10 - 17*1 = 170 - 17People who do not know the 17 times table might find the equivalent version easier to evaluate.
The distributive property refers to a property of TWO binary operations - usually of multiplication and addition - not just one operation. Consequently, 7*420 does not have a distributive property.
Suppose x and y are two terms with GCF k where the assumption (in this context) is that k is greater than 1. That implies that x = pk and y = qk where p and q are coprime terms. Then x + y = pk + qk and, using the distributive property, this is k*(p + q).
As it stands, 16*102 has no distributive property. The distributive property is a property that multiplication has over addition. It is, therefore, necessary for the question to have a multiplicative components and an additive component.So, if you chose to write 102 as (100 + 2) then the question becomes16*(100 + 2)and THEN the distributive property can be used to express that as16*100 + 16*2You could, equally go for(10 + 6)*102 = 10*102 + 6*102Or split either number into any other convenient form of addition.