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Are decimals in a fraction always rational numbers?
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
Is 9.55 a rational number?
Yes
What numbers can be expressed as a terminating or repeating decimal?
Rational numbers can be expressed as a terminating or repeating decimal.
If a non-terminating decimal that is not a fraction is called irrational what do you call a non-terminating decimal that is a ratio of rational numbers such as 1 over 7?
It is called a rational number. The rational numbers are closed under the operations of addition, subtraction, multiplication, and division (not dividing by 0). The fact that it is not terminating is not important at all. In fact, if we use other bases besides base 10, we will see that the set of numbers that are rational or irrational doesn't change. However, if we use another base, for example base 3, then the number 1/3 in base 3 can be represented with a terminating "decimal" (technically not decimal). The set of rational numbers that have terminating "decimals" depends on the base.
Why are terminating decimals rational numbers?
they always are.
Are rational numbers non-terminating decimals?
No. Rational numbers are either terminating decimals or non-terminating BUT recurrent decimals.
Are non-terminating decimals rational numbers?
If they are non-terminating and there is a repeating pattern, then they are rational. If they are non-terminating and there is no repeating pattern, as in pi, they are irrational.
Is an irrational a non-terminating decimal?
Not only non-terminating, but also non-repeating. 0.333... recurring is non-terminating but it is rational. In fact, most rational numbers are non-terminating decimals.
Are irrational numbers always non-terminating?
Yes. Any terminating number is rational. (But some non-terminating numbers are rational too, like 1/3, 1/7, 1/9, etc.
Are all non-terminating decimals irrational?
0.3333... non-terminating = 1/3 (rational) 0.1666... non-terminating = 1/6 (rational) 0.0666... non-terminating = 1/15 (rational) 0.1111... non-terminating = 1/9 (rational) 0.3636... non-terminating = 4/11 (rational) 0.428571428... non-terminating = 3/7 (rational) I guess not .
What are non-terminating numbers?
They are real numbers. All irrational numbers are non-terminating. Also, any rational numbers which, in its simplest form has a denominator which contains a factor other than 2 or 5 (or their powers) is non-terminating.
What are two characteristics of a rational and irrational number?
Rational numbers - can be expressed as a fraction, and can be terminating and repeating decimals. Irrational numbers - can't be turned into fractions, and are non-repeating and non-terminating. (like pi)
What are facts about rational numbers?
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
Are all terminating and decimals rational numbers?
All terminating decimal numbers are rational.
Why is 8.3 a rational number?
It terminates. I believe that numbers that are non terminating are irrational. and numbers that can be made into a fraction, terminat, or repeat are rational.
What is 5 sentences about contrasting rational and irrational numbers?
rational and irrational numbers are two types of real Numbers. all real numbers which are terminating and non terminating but repeating comes in the category of rational numbers. all real numbers which are non terminating and non recurring comes in the category of irrational numbers. rational numbers are expressed in the p/q form where p and q are both integers and q is not equal to 0.the opposite the case is with irrational numbers. they are not expressed in the p/q form
Are terminating decimals always rational numbers?
Yes, terminating decimals are always rational numbers.
