Not necessarily.
No. 36/9 = 4
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
A fraction that repeats continuously without stopping is called a recurring fraction. 0.1 recurring, or 0.111111... is equal to 1/9, or one ninth.A fraction with a prime denominator other than 2 or 5, always produces a recurring decimal.
There can be no answer to the question because it is based on a false assumption.0.3333... repeating = 1/3 : I don't see any 9s in the denominator!or 0.0111... repeating = 11/990 : I would not consider the last digit in the denominator to be 9.Having said that, the significance of 9 is that we count in blocks of one more: 10s.
Not necessarily.
No. 36/9 = 4
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Not at all. The quotient of 1/3 doesn't end.
Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
A fraction that repeats continuously without stopping is called a recurring fraction. 0.1 recurring, or 0.111111... is equal to 1/9, or one ninth.A fraction with a prime denominator other than 2 or 5, always produces a recurring decimal.
It does not mean anything except that it is called a 'Vulgar (or common) Fraction'. It can be mathematically converted into a Decimal Fraction by dividing the numerator , by the denominator. EG. 4 divided by 9 = 0.44444 repeating. It simply means that it it is an Indeterminate quantity and no matter how many times you keep dividing it, there will always be a remainder. It is quite OK to say that 4/9 = 0.4 repeating. You don't have to use more than 1 figure 4 after the decimal point because they will all repeat the same as the first number after the point.
Always
Repeating decimals are always rational.
None of the items in the list.