Question

Which number in the list represents the smallest quantity?

\{{{-\frac{1}{12}}}\), \({{-0.12}}\, \({{-\sqrt{\frac{1}{16}}}}\, \({{-0.08}}\)

Record your answer in decimal form. Be sure to use the correct place value.

Answer 1

`-\sqrt{(1)/(16)}`

Explanation:

First we have to find the decimal form of each quantity.

`-(1)/(12)=-0.0833...\approx -0.083`

`-0.12`

`-\sqrt{(1)/(16)}=-(1)/(4)=-0.25`

`-0.08`

Now, arrange the values in the ascending order.

`-0.25,-0.12,-0.083, -0.08`

Here the smallest quantity is -0.25 which is
`-\sqrt{(1)/(16)}`.

Therefore, the smallest quantity is
`-\sqrt{(1)/(16)}`.