Which of these can be classified as both real and rational
1/2
-1.016879413894
5 square root
0.89089908999
To determine which of these numbers can be classified as both real and rational, we need to understand the definitions of real numbers and rational numbers.
Real numbers: Real numbers include all numbers on the number line, including both rational numbers and irrational numbers. Rational numbers and certain types of irrational numbers, such as square roots of perfect squares, fall within the category of real numbers.
Rational numbers: Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not equal to zero. In other words, rational numbers are numbers that can be written as terminating or repeating decimals.
Now, let's analyze each of the given numbers:
1/2: This number can certainly be classified as real since it falls on the number line. It is also a rational number because it can be represented as a fraction (1 divided by 2).
-1.016879413894: This number is a real number since it can be plotted on the number line. However, it is not a rational number because it cannot be expressed as a fraction, as it is a non-repeating decimal.
5 square root: This number is also real since it can be located on the number line. However, it is not a rational number because it cannot be expressed as a fraction. The square root of 5 is an irrational number.
0.89089908999: Again, this number is real and falls on the number line. It is also a rational number because it can be expressed as a fraction (89089908999 divided by 100000000000).
Based on our analysis, the number 1/2 and the number 0.89089908999 can be classified as both real and rational numbers.