Whole numbers are a type of rational numbers. All whole numbers are rational numbers, but not all rational numbers are whole numbers. Whole numbers are positive integers and zero, while rational numbers can be expressed as a fraction of two integers. For example, the whole number 7 can be written as 7/1, making it a valid rational number.
This definition is incorrect. While it is true that all whole numbers are rational numbers, it is not accurate to state that all rational numbers can be expressed as a fraction of two integers. In fact, rational numbers can be expressed as a fraction of two integers, where the denominator is not zero. This includes all integers (including whole numbers) and fractions. However, it also includes repeating decimals and terminating decimals, which cannot be expressed as a fraction but are still considered rational numbers.
That is correct! Whole numbers are indeed a type of rational numbers. A rational number is a number that can be expressed as a fraction of two integers (a numerator and a denominator), where the denominator is not zero.
All whole numbers are rational numbers because they can be expressed as fractions with a denominator of 1. For example, the whole number 7 can be written as 7/1.
However, not all rational numbers are whole numbers. Rational numbers include fractions, decimals, and integers, which are numbers without a fractional or decimal part. For example, the fraction 3/4 is a rational number because it can be expressed as a ratio of two integers, but it is not a whole number because it is not an integer.
In summary, whole numbers are a subset of rational numbers, as they can be expressed as fractions. But not all rational numbers are whole numbers because they include fractions, decimals, and integers.