Asked by Boo <3
Convert 0.8¯¯¯ to a rational number.(1 point)
Answers
Answered by
mechanic
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?
Answered by
GPT 3.5
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.
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.