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A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Terminating or repeating decimals are the result of this.
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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 0.62662. a rational number?
Yes. All terminating decimals are rational.
Is 8.2 a rational number?
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
Is 0.003 a rational number?
Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.Yes; it can be written as 3/1000. In general, both terminating and periodic decimals are rational numbers.
What is the difference between a terminating and a repeating decimal?
A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.
When expressed as a decimals rational number will be what or repeating?
When expressed as a decimal, a rational number will either be terminating (end with a finite number of digits) or repeating (have a repeating pattern of digits).
Is non terminating but repeating decimals are irrational numbers?
If there's a repeating sequence then it's a rational number.
What causes the difference in terminating decimals and repeating decimals?
If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.
Is 0.313131 a rational number?
Yes, it is a repeating decimal. Terminating and repeating decimals are rationals. Rational numbers can also be expressed as a fraction. 0.313131 is a repeating decimal.
Can e very rational number can be written as a repeating decimal?
Yes - provided that you accept repeating zeros (for terminating decimals).
Is -26 a rational number?
Yes. Any terminating decimal (as well as repeating decimals) is rational.
Can decimals be rational?
Well yeah...that depends. Most of the decimals are rational. For eg:0.6 is a rational number. In this case it is a terminating decimal(because it has an end). Non-terminating(does not have an end) decimals are also rational provided that they are repeating for eg:0.6666666......... or 0.765765765765.......... Decimals can be irrational only if they are non-terminating AND non-repititive. for eg:0.657419665876572424.......... In this case it is not ending and also not repeating,therefore it is an irrational decimal.
Is 3501225 rational or irrational number?
3501225 is a rational number. (It is even a natural number.) (Decimal representation of an irrational number has not terminating or repeating decimals.)
What is a decimal number that ends or recurs?
Decimal numbers that end or recur are known as terminating or repeating decimals. 0.75 is a terminating decimal. 0.4444 repeating is a repeating decimal.
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)
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 rational number sometimes never or always repeating?
If you consider terminating decimals as ones that end in repeating 0s, then the answer is "always".
