Yes, the number 43.444... (which can also be written as 43.444444... with the 4 repeating indefinitely) is a rational number. A rational number can be expressed as the quotient of two integers, where the denominator is not zero.
In this case, you can express 43.444... as \( \frac{43444}{1000} \) (if you consider it as a decimal with a finite part), or you can express it as a fraction by letting \( x = 43.4444...\):
- Multiply both sides by 10 to shift the decimal: \( 10x = 434.4444... \).
- Subtract the original equation from this new equation: \( 10x - x = 434.4444... - 43.4444... \), leading to: \( 9x = 391 \).
- Finally, divide by 9: \( x = \frac{391}{9} \).
Since \( \frac{391}{9} \) is a fraction of integers, 43.444... is indeed a rational number.