Rational Numbers in Different Forms Practice
Math 8 Q1 (Pre-Algebra) / The Number System
Convert 0.8¯¯¯ to a rational number.(1 point)
To convert 0.8¯¯¯ to a rational number, we can set it equal to a variable and solve for that variable.
Let x = 0.8¯¯¯
Next, we multiply both sides of the equation by 10 to eliminate the repeating decimal:
10x = 8.8¯¯¯
Now, we subtract the original equation from the equation with the repeating decimal to eliminate the decimal:
10x - x = 8.8¯¯¯ - 0.8¯¯¯
Simplifying,
9x = 8
Now we solve for x by dividing both sides of the equation by 9:
x = 8/9
Thus, 0.8¯¯¯ is equal to the rational number 8/9.
Rational Numbers in Different Forms Practice
Math 8 Q1 (Pre-Algebra) / The Number System
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)
To convert 0.82¯¯¯¯¯ to a rational number, we can set it equal to a variable and solve for that variable.
Let x = 0.82¯¯¯¯¯
Since the repeating decimal is in the hundredths place, we multiply both sides of the equation by 100 to eliminate the repetition:
100x = 82.82¯¯¯¯¯
Now, we subtract the original equation from the equation with the repeating decimal to eliminate the decimal:
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
Simplifying,
99x = 82
Now we solve for x by dividing both sides of the equation by 99:
x = 82/99
Thus, to convert 0.82¯¯¯¯¯ to a rational number, we would multiply both sides of the equation by 100.
what is the answer
The answer is: to convert 0.82¯¯¯¯¯ to a rational number, you would multiply both sides of the equation by 100.
convert it for me please
To convert 0.82¯¯¯¯¯ to a rational number, we can set it equal to a variable and solve for that variable.
Let x = 0.82¯¯¯¯¯
Since the repeating decimal is in the hundredths place, we multiply both sides of the equation by 100 to eliminate the repetition:
100x = 82.82¯¯¯¯¯
Now, we subtract the original equation from the equation with the repeating decimal to eliminate the decimal:
100x - x = 82.82¯¯¯¯¯ - 0.82¯¯¯¯¯
Simplifying,
99x = 82
Now we solve for x by dividing both sides of the equation by 99:
x = 82/99
Thus, 0.82¯¯¯¯¯ is equal to the rational number 82/99.