Convert 0.8¯¯¯ to a rational number.(1 point)

Answer 1

To convert the repeating decimal 0.8¯¯¯ to a rational number, we can represent it as a fraction.

Let x = 0.8¯¯¯.

Multiplying both sides of the equation by 10, we get:

10x = 8.8¯¯¯.

Subtracting 0.8¯¯¯ from 10x, we have:

10x - x = 8.8¯¯¯ - 0.8¯¯¯,

which simplifies to:

9x = 8.

Dividing both sides of the equation by 9, we find:

x = 8/9.

Therefore, 0.8¯¯¯ is equal to 8/9, which is a rational number.

Answer 2

To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?