2f + 10 in distributive property
12
9(10+3)
12 x 18 = (12 x 10) + (12 x 8)
An example of the distributive property is 5 x (10 + 2) = (5 x 10) + (5 x 2), or in more general form, A(B+C) = AB+AC
5x10 = 5(5x5) = (5x5) + (5x5) = 50.
(5 x 8) + (2 x 8) = 7 x 8 = 56
10*46 = 10*(40+6) = 10*40 + 10*6 (using the distributive property) = 400 + 60 = 460 Except that to multiply by 10 you should not need the ditributive property!
10(2k + 5)
12
19*14 = 19*(10 + 4) = 19*10 + 19*4 = 190 + 76 = 266 (You could use the distributive property again to split 19 into 10 + 9 but that is multiplying by 19 is simple enough and using the distributive property for that is just laziness.
9(10+3)
12*56 Use the distributive property on 12: (10+2)*56 = 10*56 + 2*56 Use the distributive property on 56 twice: 10*(50+6) + 2*(50+6) = 10*50 + 10*6 + 2*50 + 2*6 = 500 + 60 + 100 + 12 = 672
10+9x70
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication to each addend. For example, 4 times 15 can be expressed as 4 times (10 + 5). Using the distributive property, this equals 4 times 10 plus 4 times 5, which is 40 + 20, resulting in 60.
Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!
4 x 18 = (4 x 10) + (4 x 8)
12 times 14 = 12*(10 + 4) You could apply the distributive property twice and go for (10 + 2)*(10 + 4)