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Some decimals terminate. (0.3) Some decimals repeat (0.3333333) Some do neither. Pi is the most famous example. 3.1415 etc.
Rational numbers.
Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.
Decimals can either terminate OR repeat. One decimal does not do both. Example-- 3.059 is a terminating decimal, meaning it stops. Example-- 3.059059... is a repeating decimal, meaning it repeats. You would write that as 3.059 with a line over the 0,5, and 9 because they repeat themselves.
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
Yes. Integers are whole numbers and their opposites. Rational numbers are numbers that can be written as a fraction. This includes decimals that terminate and repeat.
Yes. Integers are whole numbers and their opposites. Rational numbers are numbers that can be written as a fraction. This includes decimals that terminate and repeat.
No, -3 is a rational number. All fractions are rational along with all decimals that terminate or repeat. (this applies to both positive and negative numbers.)
No, if a decimal does not terminate or repeat, it is not a rational number. Rational numbers can be expressed as a ratio of two integers, and their decimal representation either terminates or repeats after a certain point. Decimals that do not have a pattern and continue indefinitely are considered irrational numbers.
No.
Some are, some aren't.If the portion after the decimal point:terminates (eg 0.125);does not terminate, but repeats one or more digits (eg 0.333..., 0.181818...)does not terminate, but has one or more digits followed by one or more further digits that repeat (eg 0.16666..., 0.258373737...)then the decimal is rational.otherwise, if the decimal does not terminate and does not repeat any digits (eg π = 3.1415726..., √2 = 1.41421...)then the decimal is irrational (not rational).
Decimals repeat because there is no definite end. In these, you can end the repeat by rounding up... (Exp: 4.44444444444444... would be 4.45 or 4.445 or 4.4445, etc.