Question

The result of which expression will best estimate the actual product of (-4/5) (3/5) (-6/7) (5/6)?
A (-1) (1/4) (-1) (-1)
B (-1) (1/2) (-1) (1)
C (-4/2) (3/2) (-2/5) (5/2)
D (-3/4) (-3/4) (-1/5) (1/2)

Answer 1

Answer:

B (-1) (1/2) (-1) (1)

Step-by-step explanation:

Given expression,

$(\frac{-4}{5})( \frac{3}{5})( \frac{-6}{7} )(\frac{5}{6})$

By the product rule of fractions,

$=\frac{-4\times 3\times -6\times 5}{5\times 5\times 7\times 6}$

$=\frac{12}{35}$

$\approx 0.3429$

In option A,

$(-1)( \frac{1}{4})(-1 )(-1 )$

$=-\frac{1}{4}=-0.25$

In option B,

$(-1) \frac{1}{2} (-1) (1)$

$=\frac{1}{2}=0.50$

In option C,

$(-\frac{4}{2})( \frac{3}{2})( \frac{-2}{5} )(\frac{5}{2})$

$=3$

In option D,

$(-\frac{3}{4})( -\frac{3}{4})( -\frac{1}{5} )(\frac{1}{2})$

$=-\frac{9}{160}=-0.05625$

Hence, the result of expression B would best estimate the actual product in given expression.

Answer 2

Answer:

it is B

Step-by-step explanation: