(0×10)×6=0×(n×6)

Question

Associative value misding digit

What is the value of n

(0×10)×6=0×(n×6)

Answer 1

With the problem as stated, you will satisfy the equality with any value of n, since you essentially have 0=0, regardless of the value of n.  Perhaps it is better to restate the problem without zeros as

 

(A x 10) x 6 = A x (n x 6)

 

The associate property for multiplication states that

 

(ab)c = a(bc)

 

Then n = 10.

Answer 2

What on the left side is in the same position as n is on the right side?

n is in the middle on the right, what is in the middle on the left?