Question

The result of which expression will best estimate the actual product

06-1(4)-10-1)
06-1(4)-100
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Answer 1

The answer is,

`(-1) * \frac {1}{2} * (-1) * (1)`

Explanation:

The given product is,

`\frac {-4}{5} * (3)/(5) * (-6)/(7) * \frac {5}{6}`

=
`\frac {12}{35}`

`\simeq 0.3429` ---------------------(1)

Now, the first product to compare is,

`(-1) * \frac {1}{4} * (-1) * (-1)`

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

The second product to compare is,

`(-1) * \frac {1}{2} * (-1) * (1)`

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

The 3rd product to compare is,

`\frac {-4}{2} * \frac {3}{2} * (-2)/(5) * \frac {5}{2}`

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

The 4th product to compare is,

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