Answer :
To determine which choice is equivalent to the expression resulting in a value of 0.0625, we need to evaluate each of the given options as decimal numbers.
Let's go through the options one by one:
A. [tex]\(\frac{1}{8}\)[/tex]
First, convert the fraction to a decimal:
[tex]\[
\frac{1}{8} = 0.125
\][/tex]
B. [tex]\(-\frac{1}{16}\)[/tex]
Now, convert this fraction to a decimal:
[tex]\[
-\frac{1}{16} = -0.0625
\][/tex]
C. [tex]\(\frac{1}{16}\)[/tex]
Convert this fraction to a decimal:
[tex]\[
\frac{1}{16} = 0.0625
\][/tex]
D. [tex]\(-8\)[/tex]
Convert this to a decimal:
[tex]\[
-8 = -8.0
\][/tex]
From these calculations, we see that option C, [tex]\(\frac{1}{16}\)[/tex], is equal to 0.0625.
Therefore, the choice equivalent to 0.0625 is:
C. [tex]\(\frac{1}{16}\)[/tex]
Let's go through the options one by one:
A. [tex]\(\frac{1}{8}\)[/tex]
First, convert the fraction to a decimal:
[tex]\[
\frac{1}{8} = 0.125
\][/tex]
B. [tex]\(-\frac{1}{16}\)[/tex]
Now, convert this fraction to a decimal:
[tex]\[
-\frac{1}{16} = -0.0625
\][/tex]
C. [tex]\(\frac{1}{16}\)[/tex]
Convert this fraction to a decimal:
[tex]\[
\frac{1}{16} = 0.0625
\][/tex]
D. [tex]\(-8\)[/tex]
Convert this to a decimal:
[tex]\[
-8 = -8.0
\][/tex]
From these calculations, we see that option C, [tex]\(\frac{1}{16}\)[/tex], is equal to 0.0625.
Therefore, the choice equivalent to 0.0625 is:
C. [tex]\(\frac{1}{16}\)[/tex]