To determine if a decimal is terminating or non-terminating, divide the numerator by the denominator. The decimal equivalent of 4/5 is 0.4, which terminates. Therefore, 4/5 is a terminating decimal.
To determine if a decimal is terminating or non-terminating, the denominator of the fraction must be expressed as a power of 10 (e.g., 10, 100, 1000, etc.). In the case of 4/5, the denominator is 5, which can be written as 5 = 10/2.
Since 2 is a factor of 10, we can express the fraction 4/5 as a decimal by dividing the numerator by the denominator. In this case, 4 divided by 10 gives us 0.4. Therefore, the decimal equivalent of 4/5 is 0.4.
Since the decimal terminates after a finite number of digits (in this case, one digit), we can conclude that 4/5 is a terminating decimal.