The value of (z) is 0, as the product of (z) and 161 is equal to z only when (z) is 0. This is due to the property that any number multiplied by 0 results in 0, satisfying the given condition in the equation z*161 = z.
In mathematical terms, the statement "the product of a number z and 161 is equal to the number itself" can be expressed as the equation "z * 161 = z." To find the value of z, we can rearrange the equation and solve for z:
z * 161 - z = 0
z(161 - 1) = 0
This equation implies that either z = 0 or 161 - 1 = 160. However, since the question is asking for the value of z when the product is equal to the number itself, the solution is z = 0. This is because any number multiplied by 0 is 0.
Therefore, the value of z that satisfies the given condition is z = 0.
Complete question should be:
If the product of a number z and 161 is equal to the number itself, what is the value of z?