Rational Numbers in Different Forms Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Rational Numbers in Different Forms Practice
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Question
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)
tell me the answer
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:
x = 0.82¯¯¯¯¯
100x = 82.82¯¯¯¯¯
Therefore, you would multiply both sides of the equation by 100.
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?
To convert 0.82¯¯¯¯¯ to a rational number, you can set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 100.
To convert 0.82¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯.
Multiplying both sides of the equation by a power of 10 will help us eliminate the repeating decimal. Since there is one digit repeating, we can multiply both sides by 100, which is 10^2.
So, we have:
x = 0.82¯¯¯
100x = 82.82¯¯¯
Now we have an equation without repeating decimals.
To solve for x, we can subtract x from 100x:
100x - x = 82.82¯¯¯ - 0.82¯¯¯
99x = 82
Finally, we can divide both sides of the equation by 99 to solve for x:
99x/99 = 82/99
x = 82/99
Therefore, the rational number equivalent of 0.82¯¯¯ is 82/99.