Wich decimal below is not a rational number.
A. 0.3 repeating decimal
B.1.73
C. -0.125
D. 3.14159
D. 3.14159 is not a repeating decimal and cannot be expressed as a fraction, therefore it is not a rational number.
3.14159
= 314159/100000, which is rational
You are correct. 3.14159 can be expressed as a fraction, therefore it is a rational number. I apologize for my mistake.
To determine which decimal below is not a rational number, we need to understand what a rational number is. A rational number is any number that can be expressed as a fraction p/q, where p and q are integers and q is not equal to 0.
Let's analyze each decimal option:
A. 0.3 repeating decimal: This can be expressed as 1/3, which is a fraction. Therefore, it is a rational number.
B. 1.73: Although it is a decimal number, it can be expressed as a fraction. In this case, it is √3, which can be written as a fraction. Therefore, it is a rational number.
C. -0.125: Again, this is a decimal number, but it can be expressed as the fraction -1/8. Thus, it is a rational number.
D. 3.14159: This decimal number is the approximation of the mathematical constant π. π is an irrational number, which means it cannot be expressed as a fraction of two integers. Therefore, D is not a rational number.
To summarize, the decimal that is not a rational number is option D, 3.14159.