Question

Express each of the following decimal in the rational form P by Q 0.528 bar.

A. 22/7
B. 4/7
C. 13/25
D. 7/13

Answer 1

To express the repeating decimal 0.528 bar as a rational number, we can use the concept of infinite geometric series. The rational form of 0.528 bar is 0.528.

Step-by-step explanation:

To express the repeating decimal 0.528 bar as a rational number, we can use the concept of infinite geometric series. Let x represent the repeating decimal. Multiplying x by 10 will shift the decimal point one place to the right, resulting in 10x. Subtracting x from 10x eliminates the repeating part and gives us 9x. Next, we write an equation: 9x = 5.28 - x. Solving for x, we find x = 0.528. Therefore, the rational form of 0.528 bar is 0.528.