Question

The result of which expression will best estimate the actual product

Answer 1

Answer:

The answer is,

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

Step-by-step explanation:

The given product is,

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

= $\frac {12}{35}$

$\simeq 0.3429$ ---------------------(1)

Now, the first product to compare is,

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

= - 0.25 ----------------------------(2)

The second product to compare is,

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

= 0.5 ------------------------(3)

The 3rd product to compare is,

$\frac {-4}{2} \times \frac {3}{2} \times \frac{-2}{5} \times \frac {5}{2}$

= 3 ----------------------------(4)

The 4th product to compare is,

$\frac {-3}{4} \times \frac {-3}{4} \times \frac {-1}{5} \times \frac {1}{2}$

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

= 0.05625 -----------------(5)

Comparing all the values , we get (3) is closest to (1).

Hence, we get, the answer is,

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