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What is the only fraction that must be represented by a non terminating decimal?
There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
What fractions are repeating or terminating decimal?
All rational fractions.
Is 3.245245245 rational?
Yes, it can be represented as a terminating decimal.
How are fractions are related to repeating decimals and terminating decimals?
If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.
How fractions are related to repeating decimals and terminating decimals?
All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.
Which fractions can be represented by a terminating decimal?
A fraction will have a terminating decimal if the prime factorisation of the denominator contains only the primes 2 or 5, or both.
What is the only fraction that must be represented by a non terminating decimal?
There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
What fractions are repeating or terminating decimal?
All rational fractions.
Is 3.245245245 rational?
Yes, it can be represented as a terminating decimal.
How are fractions are related to repeating decimals and terminating decimals?
If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.
How fractions are related to repeating decimals and terminating decimals?
All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.
What is a terminating decimal that is not an integer?
0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).0.1251.2512.5etc.
Is 44.4 a terminating decimal?
Yes, as represented in the question, it is.
Can a fraction be written as a non-terminating decimal?
No, not all fractions can be written as a non-terminating decimal. For instance, 1/3 has infinitely many 3's in the decimal places.
What can rational numbers be expressed as?
fractions or decimals
How do you use non terminating decimal in a sentence?
The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.
Is 0.16 repeating irrational?
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.
