Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer\
The relationship between rational numbers and whole numbers is that every whole number can also be classified as a rational number, but not every rational number can be classified as a whole number.
A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. Whole numbers, on the other hand, are non-negative integers ranging from 0 to positive infinity.
To illustrate this relationship, let's consider the number 3. This is a whole number because it is a non-negative integer. It can also be expressed as a fraction with a denominator of 1, thus making it a rational number. Therefore, we can say that 3 is both a whole number and a rational number.
Now let's consider the number 1/2. This is a rational number because it can be expressed as a fraction where both the numerator and denominator are integers. However, it is not a whole number because it is not a non-negative integer. Therefore, we can conclude that not all rational numbers are whole numbers.
In conclusion, all whole numbers are rational numbers, but not all rational numbers are whole numbers.
The relationship between rational numbers and whole numbers is that every whole number is a rational number, but not every rational number is a whole number.
A rational number is a number that can be expressed as a ratio of two integers (a fraction), where the denominator is not zero. Whole numbers, on the other hand, are non-negative integers (including zero).
Every whole number can be written as a fraction with a denominator of 1. For example, 3 can be written as 3/1 or 12 can be written as 12/1. Since these fractions meet the definition of a rational number, we can conclude that whole numbers are rational numbers.
On the other hand, not every rational number is a whole number. Rational numbers include fractions and decimals that are not whole numbers. For example, 1/2, 3/4, and -2/5 are rational numbers, but they are not whole numbers because they are not integers.
In conclusion, all whole numbers are rational numbers, but not all rational numbers are whole numbers.