2.lots
Nine (2.1 to 2.9)
There are infinitely many rational numbers between 2 and 3. This is because rational numbers are numbers that can be expressed as a fraction of two integers, and there are infinitely many integers between any two integers. Therefore, there are an infinite number of fractions between 2 and 3 that can be written in the form of (n/d) where n and d are integers.
Write both numbers as decimal numbers, then look for terminating decimals between the two.
There are no integers (or whole numbers) between two and three. The fraction exactly half way between is 2.5. There are also an infinite number of other decimal numbers spread throughout.
There are an infinite number of decimal values between any two numbers. 5.01, 5.1, 5.999999 are examples.
.65, .68, .72; any decimal between these two numbers
5/3+(3/2)-1/3
321 and 34.128. 84.321-34.128=50.193. The resulting decimal number is 50.193 which is between 50 and 52.
Fractions have a 'bar' in them - 2/3 Decimals have a decimal point - 1.45
Infinity, probably. Real numbers include both rational, irrational numbers, and zero. Therefore any decimal number is a real number, and it's impossible to count all the decimal numbers in between 1/2 and 3/4.
Not "number", but "numbers" - there are infinitely many. For a start, get a decimal approximation (on your calculator) for the square root of 2 and 3, then get some terminating decimals that are between those.
Unless the decimal contains all zeroes to the right of the decimal point (for example, 2.00), it is not an integer, a whole number, or a natural number. The integers are: (...-3, -2, -1, 0, 1, 2, 3, ...); whole numbers are: (0, 1, 2, 3, ...); and natural numbers are: (1, 2, 3, ...). If the decimal is a terminating decimal (e.g., 3.25) or a repeating decimal (e.g., 3.252525252525...), the number is a rational number. If it is a decimal that does not repeat after some number of digits (e.g., pi or sqrt(2)), the number is irrational.