which list shows the numbers |-0.12|, \frac{1}{8}, \frac{1}{9},∣−0.12∣, 8 1 ​ , 9 1 ​ , and \sqrt{\frac{1}{82}} 82 1 ​ ​ in order from smallest to largest?

Respuesta :

The list that shows the numbers |-0.12|, 1/8, 1/9 in order from smallest to largest is:

1/9, |-0.12|, 1/8.

What is the absolute value of a number?


The absolute value of a number is the distance of the number to the origin, hence it is represented by the number without the signal.

In the context of this problem, the absolute value of -0.12 is:

|-0.12| = 0.12.

How to convert a fraction to decimal?

To convert a fraction to decimal, we divide the top term of the fraction, called numerator, by the bottom term of the fraction, called the denominator.

Hence, in the context of this problem, the decimal representation of the fractions is given as follows:

  • 1/8 = 0.125.
  • 1/9 = 0.1111.

To order the three numbers, both have integer part 0, hence we look at which one has the greater decimal part, hence they are ordered as 1/9, |-0.12|, 1/8, from least to greatest.

More can be learned about ranking of numbers at https://brainly.com/question/15351006

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