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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.
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.
What can rational numbers be expressed as?
fractions or decimals
Is 0.16 repeating irrational?
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.
