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

it is B

Explanation:

Answer 2

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

Explanation:

Given expression,

`((-4)/(5))( (3)/(5))( (-6)/(7) )((5)/(6))`

By the product rule of fractions,

`=(-4* 3* -6* 5)/(5* 5* 7* 6)`

`=(12)/(35)`

`\approx 0.3429`

In option A,

`(-1)( (1)/(4))(-1 )(-1 )`

`=-(1)/(4)=-0.25`

In option B,

`(-1) (1)/(2) (-1) (1)`

`=(1)/(2)=0.50`

In option C,

`(-(4)/(2))( (3)/(2))( (-2)/(5) )((5)/(2))`

`=3`

In option D,

`(-(3)/(4))( -(3)/(4))( -(1)/(5) )((1)/(2))`

`=-(9)/(160)=-0.05625`

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