3. Write an expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x.
The expression that represents reducing x by 1/8 of x using only multiplication is:
x - (1/8) * x
This expression can be simplified further to:
(7/8) * x
Can you explain how you got this answer?
Certainly!
To represent reducing x by 1/8 of x, we start with x and subtract 1/8 of x.
1/8 of x can be written as (1/8) * x.
Therefore, the expression to reduce x by 1/8 of x is:
x - (1/8) * x
To simplify this expression, we can factor out x:
x(1 - 1/8)
Simplifying further, we subtract 1/8 from 1:
x(7/8)
The final expression is:
(7/8) * x
This expression represents reducing x by 1/8 of x using only multiplication.