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.

Respuesta :

Answer:

[tex]-\sqrt{\dfrac{1}{16}}[/tex]

Step-by-step explanation:

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

[tex]-\dfrac{1}{12}=-0.0833...\approx -0.083[/tex]

[tex]-0.12[/tex]

[tex]-\sqrt{\dfrac{1}{16}}=-\dfrac{1}{4}=-0.25[/tex]

[tex]-0.08[/tex]

Now, arrange the values in the ascending order.

[tex]-0.25,-0.12,-0.083, -0.08[/tex]

Here the smallest quantity is -0.25 which is [tex]-\sqrt{\dfrac{1}{16}}[/tex].

Therefore, the smallest quantity is  [tex]-\sqrt{\dfrac{1}{16}}[/tex].