45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
40 + 44 = (4 x 10) + (4 x 11) = 4 x 21 = 84
The GCF of 20 and 35 is 5. That makes 20 + 35 (4 x 5) + (7 x 5) = 11 x 5, a needlessly complicated way of saying that 20 + 35 = 55
Pick a pair of numbers. Let's try 30 and 42. Their GCF is 6. 6 x 5 and 6 x 7 By the distributive property, that can be written as 6(5 + 7)
45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
49
5 x 5 = 25
42 + 63 = (2 x 21) + (3 x 21) = 5 x 21 = 105
4(5 + 9)
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.
21 = 3(7) = 3(2+5)
(2 x 12) + (3 x 12) = 5 x 12
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.
40 + 44 = (4 x 10) + (4 x 11) = 4 x 21 = 84
The GCF of 20 and 35 is 5. That makes 20 + 35 (4 x 5) + (7 x 5) = 11 x 5, a needlessly complicated way of saying that 20 + 35 = 55