How can you express using 11x7 using the distributive property?

D.) 11(3) + 11(4)

Step-by-step explanation:

Before we can answer this question fully, we should solve for what the question asks for.

11 x 7 = 77.

With this being done, let's look at each of these problems. In all of the problems, it seems that this question broke down the 7 into 3 + 4.

A.) This answer is incorrect, because 3 x 4 does not equal 7, it equals 12. We are not multiplying the breakdown of 7 together, we are adding them. Also, (11 x 1) + (3 x 4) = 33.

B.) This answer is wrong, because once again we are not multiplying 3 x 4, we are adding it. Also, 11 x (3 x 4) = 132.

C.) This answer is also incorrect, because this is the same problem from earlier in the question. All they did was switch the 11 and 7. (Important:) Also, this is not using the distributive property. When using the distributive property, you need to break down a number and give it to other numbers, as shown in letter D.). This equation may equal 77, nut it is still incorrect.

D.) This answer is correct, because it shows the proper breakdown of 7. Even though the breakdown of 7 is being multiplied, it is still broken up and given to other numbers to use. Also, there is an addition symbol between the two numbers, which also proves correct. Solving it we get 11(3) + 11(4) = 77.

I hope that this helps.