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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.
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Are rational numbers also integers?
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.
Why do decimals repeat?
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.
When there is a line over a decimal what dose that mean?
it means repeat those decimals forever. example: __ 4.56 = 4.56565656565656565656565656........
What does terminate mean in math?
To end, or if taling about decimals, a terminating decimal is a decimal that doesn't continue forever, like 0.2, a non-terminating decimal would be pi.
Are all decimals irrational numbers?
only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fration or ratio of two numbers. for example: .3434343434343434... 100x=34.34343434... -x 99x=34 34/99
What set of numbers can be expressed as fractions decimals that repeat terminate or integers?
Rational numbers.
Are repeating decimals rational?
Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.
What is the difference between the decimal expansion in irrational and rational numbers?
Decimals that terminate or repeat in some fashion are rational, while decimals that expand forever are irrational.
What does non terminating non repeating mean?
Some decimals terminate. (0.3) Some decimals repeat (0.3333333) Some do neither. Pi is the most famous example. 3.1415 etc.
Are rational numbers also integers?
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.
Are all integers also rational numbers?
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.
Is negative 3 irrational?
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.)
If it doesn if a decimal doesn't terminate or repeat is it still a rational number or not?
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.
Can a number both repeat and terminate?
No.
Are decimals rational?
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).
Why do decimals repeat?
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.
What is non repeating decimals?
That can refer to one of two types of decimals: terminatingand irrational.Terminating decimals don't repeat because they stop, whereas irrational decimals simply never repeat a distinct pattern of digits.
