explain number tricks using deductive reasoning

spend some time exploring the number tricks using deductive reasoning applet. how do the algebra steps help to show what is really going on?

a. by looking at the algebra, we can see that most of the numbers introduced in the steps are cancelled out and each time we get the same final quotient as in step e.


b. by looking at the algebra, we can see that most of the numbers introduced in the steps are cancelled out and each time we get the same final difference as in step e.


c. by looking at the algebra, we can see that most of the numbers introduced in the steps are cancelled out and each time we get the same final sum as in step e.


d. by looking at the algebra, we can see that most of the numbers introduced in the steps are cancelled out and each time we get the same final product as in step e.