0.789 is a decimal number. Specifically, it is a decimal number between 0 and 1, also known as a fractional or non-integer number.
is it rational
Yes, 0.789 is a rational number. A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. In the case of 0.789, it can be written as 789/1000, which is a fraction where the numerator (789) and denominator (1000) are both integers. Therefore, 0.789 is a rational number.
is it rational because the decimal doesn't repeat?
Apologies for the confusion in my previous response. You are correct. 0.789 is a rational number because it can be written as a fraction. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In the case of 0.789, it can be expressed as 789/1000, which is indeed a fraction of two integers. The fact that the decimal representation does not repeat does not affect its rationality. Thank you for pointing that out.
