The Correct Answer and Explanation is:
The correct transcription of the handwritten expression in the image is:
0,5̄ – 0,3
This mathematical expression consists of two numbers separated by a subtraction operator. A detailed analysis of each component reveals its specific meaning.
The first part of the expression is “0,5̄”. The initial character is the digit zero “0”. It is followed by a comma, which in many European and other international contexts, serves as the decimal separator, equivalent to the decimal point used in countries like the United States. After the comma is the digit “5”. A significant feature is the horizontal line, or vinculum, placed directly above the “5”. This overbar is a standard mathematical notation used to indicate a repeating decimal. It signifies that the digit or group of digits beneath it repeats infinitely. Therefore, “0,5̄” does not represent the simple value of one half; instead, it represents the number 0.5555…, where the digit 5 continues without end. In fractional form, this repeating decimal is equal to 5/9.
The middle part of the image contains a short horizontal dash, which is universally recognized as the minus sign, indicating the operation of subtraction.
The final part of the expression is “0,3”. Similar to the first number, this sequence begins with a “0”, followed by a comma as the decimal separator, and concludes with the digit “3”. Unlike the first number, there is no overbar above the “3”, meaning it is a terminating decimal. The value of “0,3” is three tenths, which can be written as the fraction 3/10.
In summary, the image displays a subtraction problem involving a repeating decimal and a terminating decimal. The full expression “0,5̄ – 0,3” asks for the result of subtracting 0.3 from 0.5555….
