Question

What is the product of (7/8)(-16)(-7)(-14)

Answer 1

By definition, a product is the result of a multiplication. So, in order to find the product asked in the exercise, you must multiply the numbers.

Remember the rules for the signs in multiplication:

$\begin{gathered} +\cdot+=+ \\ -\cdot-=- \\ +\cdot-=- \end{gathered}$

To multiply fractions the procedure is the following:

$\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}$

So, given this expression:

$(\frac{7}{8})(-16)(-7)(-14)$

You can rewrite it in this form:

$=(\frac{7}{8})(\frac{-16}{1})(\frac{-7}{1})(\frac{-14}{1})$

Then, multiplying the fractions, you get this product:

$=\frac{(7)(-16)(-7)(-14)}{8}=\frac{-10976}{8}$

Simpliying the product, you get that the answer is:

$=-1372$