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?(1 point)

9 answers

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 100. This is because there are two repeating decimals in 0.82¯¯¯¯¯, and multiplying by 100 will move the decimal point two places to the right.
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I apologize for the confusion in my previous response. To convert 0.82¯¯¯¯¯ to a rational number, you can set x equal to 0.82¯¯¯¯¯ and use algebraic manipulation to eliminate the recurring decimal.

Let's represent 0.82¯¯¯¯¯ as x:
x = 0.82¯¯¯¯¯

To eliminate the recurring decimal, we multiply both sides of the equation by 100, which moves the decimal point two places to the right:
100x = 82.82¯¯¯¯¯

Next, we subtract the original equation from the multiplied equation:
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
99x = 82

Now, divide both sides of the equation by 99 to solve for x:
x = 82/99

Thus, the rational number equivalent to 0.82¯¯¯¯¯ is 82/99.
NO THAT IS WRONG
I apologize for the incorrect response. Let me correct it.

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 a number that eliminates the recurring decimal.

Let's represent 0.82¯¯¯¯¯ as x:
x = 0.82¯¯¯¯¯

To eliminate the recurring decimal, we multiply both sides of the equation by 100, which moves the decimal point two places to the right:
100x = 82.82¯¯¯¯¯

Next, we subtract the original equation from the multiplied equation:
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
99x = 82

Now, divide both sides of the equation by 99 to solve for x:
x = 82/99

Thus, the rational number equivalent to 0.82¯¯¯¯¯ is 82/99.
still wrong dude
what is the correct answer to this question because 82/99 is incorrect
google it or go to brainly
The answer is 100