1.
(01.01 LC)
What is the rational number equivalent to 1 point 28 with a bar over 28? (1 point)
1 and 6 over 97
1 and 28 over 99
1 and 8 over 33
1 and 5 over 16
suppose
x = .28282828...
then 100x = 28.28282828
subtract, and you have 99x = 28 (all the decimal parts goes away)
so x = 28/99
In general, if you have n repeating digits, then just divide those digits by the same number of 9's.
0.352135213521 ... = 3521/9999
So, 1.282828... = 1 28/99
OHHH ok tysm!
I would say B
To determine the rational number equivalent to 1 point 28 with a bar over 28, you need to express it as a fraction.
Step 1: Let x be the repeating decimal.
x = 1.282828...
Step 2: Multiply both sides of the equation by 100 to remove the decimal:
100x = 128.282828...
Step 3: Subtract the original equation from the multiplied equation, which eliminates the repeating part:
100x - x = 128.282828... - 1.282828...
99x = 127
Step 4: Solve for x by dividing both sides of the equation by 99:
x = 127/99
Therefore, the rational number equivalent to 1 point 28 with a bar over 28 is 1 and 28/99.