Which of these numbers can be classified as both real and rational
A 1/2
B -1.016879413894
C square root of 5
D 0.89089908999
A. 1/2.
To determine which of these numbers can be classified as both real and rational, we need to understand the definitions of real and rational numbers.
A real number is any number that can be plotted on a number line. In other words, real numbers include both rational and irrational numbers.
A rational number, on the other hand, is any number that can be expressed as a fraction where the numerator and denominator are integers, and the denominator is not zero.
Now, let's go through each option and evaluate whether it can be classified as both real and rational:
A) 1/2: This number can be expressed as a fraction, where the numerator (1) and denominator (2) are integers. So, it is a rational number. Additionally, since it can be plotted on a number line, it is also a real number. Therefore, option A is both real and rational.
B) -1.016879413894: This number cannot be expressed as a fraction of two integers. Therefore, it is not a rational number. However, it can still be plotted on a number line, making it a real number. Thus, option B is real but not rational.
C) Square root of 5: The square root of 5 is an irrational number because it cannot be expressed as a fraction. Therefore, it is not a rational number. However, it can still be plotted on a number line, so it is a real number. Thus, option C is real but not rational.
D) 0.89089908999: This number can be expressed as a decimal, but it's not a fraction of two integers. Therefore, it is not a rational number. However, it can be plotted on a number line, so it is a real number. Thus, option D is real but not rational.
In conclusion, option A (1/2) is the only number among the choices that is classified as both real and rational.