All decimals that terminate, or end with a repeating set of digits are rational numbers.
eg 1.234, 1.222..., 1.232323..., 1.23444..., 1.2343434... are all rational numbers.
yes, all numbers except numbers that have non-terminating, non-repeating decimals.
All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.
Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.
Yes.
There are two kinds of decimals that are rational: terminating and repeating. Terminating decimals are simply decimals that end. For example, the numbers after the decimal point for 3.14, 5.5, and 424.827598273957 don't continue on forever; i.e. they terminate. Repeating decimals differ from terminating decimals in that the numbers after the decimal point continue on forever. For example, the numbers 3.333333333..., 10.010101010101..., and .0356811111111111..., where the "...'s" mean that the numbers continue on indefinitely, are all repeating decimals. The reason why both of these types of decimals are considered rational is because both types can also be expressed as a fraction of two integers. Non-repeating decimals, such as pi and the square root of two, can't be expressed as a fraction of two integers, and so therefore are irrational.
Yes.
Yes.
Yes.
Yes, they are.
No.0.33333... repeating = 1/30.428571... repeating = 3/70.11111... repeating = 1/90.090909... repeating = 1/11Those decimals are all non-terminating, but the numbers are all rational.
All terminating decimal numbers are rational.
If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.
The set of rational numbers (ℚ).
yes, all numbers except numbers that have non-terminating, non-repeating decimals.
All rational fractions.
All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.
Nope. For example 1/3 is rational, but not terminating.