Convert 0.8¯¯¯ to a rational number.

Answer 1

To convert the recurring decimal 0.8¯¯¯ to a rational number, we need to express it as a fraction.

Let x = 0.8¯¯¯

To remove the recurring decimal, we can multiply both sides of the equation by a power of 10 that is equal to the number of decimal places in the recurring part. In this case, there is 1 decimal place in the recurring part, so we can multiply both sides by 10:

10x = 8.8¯¯¯

Next, subtract the original equation from the new equation to eliminate the recurring part:

10x - x = 8.8¯¯¯ - 0.8¯¯¯
9x = 8

Divide both sides of the equation by 9 to solve for x:

x = 8/9

Therefore, 0.8¯¯¯ can be expressed as the rational number 8/9.

Answer 2

my thing says that answer is wrong