Convert 0.8¯¯¯ to a rational number.(1 point)
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 0.8¯¯¯ from 10x, we have:
10x - x = 8.8¯¯¯ - 0.8¯¯¯,
which simplifies to:
9x = 8.
Dividing both sides of the equation by 9, we find:
x = 8/9.
Therefore, 0.8¯¯¯ is equal to 8/9, which is a rational number.
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 0.8¯¯¯ to a rational number, we can follow these steps:
Step 1: Let x = 0.8¯¯¯.
Step 2: Multiply both sides by 10 to eliminate the repeating decimal:
10x = 8.¯¯¯.
Step 3: Subtract x from both sides:
10x - x = 8.¯¯¯ - 0.8¯¯¯.
9x = 8.
Step 4: Divide both sides by 9 to solve for x:
9x/9 = 8/9.
x = 8/9.
Therefore, the rational number equivalent to 0.8¯¯¯ is 8/9.
To convert a recurring decimal to a rational number, we need to express it as a fraction.
Let's assume that "0.8¯¯¯" is represented by the variable "x". To convert it to a fraction, we'll follow these steps:
Step 1: Multiply both sides of the equation "x = 0.8¯¯¯" by 10 to eliminate the recurring decimal:
10x = 8.8¯¯¯
Step 2: Subtract the equation "x = 0.8¯¯¯" from the equation "10x = 8.8¯¯¯":
10x - x = 8.8¯¯¯ - 0.8¯¯¯
9x = 8
Step 3: Divide both sides of the equation "9x = 8" by 9 to isolate the variable:
9x/9 = 8/9
x = 8/9
So, the rational number equivalent of 0.8¯¯¯ is 8/9.