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?
It’s 100
wrong
incorrect again it's not 82/99
IT'S NOT 82/99 I TOLD U THAT
still wrong dude
whats the answer
It’s 83/99 I think
To convert a repeating decimal into a rational number, we can use the fact that if we multiply the repeating decimal by a power of 10, we can eliminate the repeating part.
In this case, since the repeating part is the "82", we can multiply both sides of the equation x = 0.82¯¯¯¯¯ by 100 (a power of 10 that has two digits, to match the number of repeating digits).
So, we multiply both sides by 100:
100x = 100(0.82¯¯¯¯¯)
Simplifying the right side:
100x = 82.82¯¯¯¯¯
Now, we subtract the original equation from this new equation:
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
Simplifying both sides:
99x = 82
Finally, to solve for x and convert 0.82¯¯¯¯¯ to a rational number, we divide both sides by 99:
99x/99 = 82/99
x = 82/99
So, multiplying both sides of the equation x = 0.82¯¯¯¯¯ by 100 gives us the equation x = 82/99.
I apologize for the incorrect response. Let's try again.
To convert the repeating decimal 0.82¯¯¯¯¯ to a rational number, we can follow the following steps:
Step 1: Let x be equal to 0.82¯¯¯¯¯.
Step 2: Multiply both sides of the equation by 100, as there are two repeating digits (82).
100x = 82.82¯¯¯¯¯¯
Step 3: Subtract the original equation from the new equation to eliminate the repeating part.
100x - x = 82.82¯¯¯¯¯¯ - 0.82¯¯¯¯¯¯
99x = 82
Step 4: Divide both sides of the equation by 99 to solve for x.
99x/99 = 82/99
x = 82/99
Thus, 0.82¯¯¯¯¯ is equal to 82/99 as a rational number.
Apologies for the confusion. Let's attempt the solution again.
To convert the repeating decimal 0.82¯¯¯¯¯ to a rational number, we can follow these steps:
Step 1: Let x be equal to 0.82¯¯¯¯¯.
Step 2: Multiply both sides of the equation by a power of 10 to eliminate the repeating part. Since there are two digits repeating (82), we will multiply by 100.
100x = 82.82¯¯¯¯¯
Step 3: Subtract the original equation from the new equation to eliminate the repeating part.
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
99x = 82
Step 4: Divide both sides of the equation by 99 to solve for x.
99x/99 = 82/99
x = 82/99
Therefore, the correct rational representation of 0.82¯¯¯¯¯ is 82/99.