Convert 0.8¯¯¯ to a rational number.

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 the original equation from this new equation, we eliminate the repeating decimal:

10x - x = 8.8¯¯¯ - 0.8¯¯¯

This simplifies to:

9x = 8

Dividing both sides by 9, we find:

x = 8/9

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

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?

Answer 3

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