Distributive Law the inter workings....?

Question

I don't know how to ask this and still have it make sense so please bare with me.

I know what distributive law is, but I don't understand WHY it works. I know it's a(b+c) = ab + ac and know how to applie it. But I just can't gasp why it works.

Answer 1

♠ nothing to gasp at; don’t try to grasp it, too; it is axiomatic! Just remember it and use correctly! It’s like asking why your mom gave birth to U and not to John Smith;

Answer 2

If you use numbers, it makes it easier to see this :

5 (2 + 7) = 5 (9) = 45
But what if you can"t find 2 + 7 ? (What if these were variables that you don't know the values of yet ?)

Then 5(2) + 5(7) will give you the answer as well with the partial products and sums : 10 + 35 = 45

Answer 3

hmmm
i don't know if it can be explained in words. It is an axiom.
2 fives is the same as two twos and two threes
if you had 2 sets each having five objects for exmple,
you can split each set of 5 as 2 objects and 3 objects, giving two pairs + two threes.
does that make sense?
did i answer your question?

Answer 4

I certainly have a subject with so-referred to as "religious human beings" who're searching for some thank you to be slightly greater suitable than human. This desire is what drove to Heaven's Gate human beings to suicide. As close to as i will tell, the only reason which you will desire to be some form of great individual is by using the fact they have a deep dislike for who and what they're. forget approximately approximately walking on water. concentration fairly on the sweetness that surrounds you. Kuma Edit: ((stay long)) the desire to grow to be one with something is in basic terms a recipe for suffering. (See the Buddha's 2d Noble certainty for greater in this.) What we ought to learn is to be common and ordinary. we ought to learn popularity, and we ought to start with accepting and loving (if a probability) who and what we are. as quickly as we rather try this each and all of the objectives of heavens and ask your self fall away, and the dreaming concepts is transmuted into the concepts of awareness. In Buddhism it truly is symbolized by technique of the bell.

Answer 5

Consider that by definition ab is:

a+a+...+a+a
╰------------╯
.... b times

Now add ac:

a+a+...+a+a + a+a+...+a+a
╰------------╯. ╰------------╯
.... b times .......... c times

Of course, this is also:

a+a+...+a+a+a+a+...+a+a
╰-------------- ----------------╯
........... b+c times

So ab+ac = a(b+c). That's really all there is to it.