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Follow these steps:
- write the rational number in the form p/q where p and q are integers and q > 0.
- divide p by q.
- if the division process goes into an infinite loop, in which case the decimal representation is the quotient which will be a repeating decimal.
- if the division process comes to a stop then reduce the last digit of the quotient by 1 and add an infinite string of 9s.
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How do you find rational numbers between two irrational numbers?
An irrational number is expressed as a non-repeating decimal that goes on forever. Write out the enough of the decimal expansion of each number to find the first digit where the two numbers disagree. Truncate the larger number at that digit, and the result is a rational number (terminating decimal) that is between the two.
How do you write 0.11 as a rational number?
It is a rational number, in decimal form. In the form of a ratio, it is 11/100.
How to write a repeating decimal?
for example if the decimal is 6.6 then to make it a repeating decimal you have to write it with a line on top of the .6 thats repeating
How can you write a rational number as a decimal?
Divide the denominator into the numerator.
Is 0.123467239 and so fort a repeating decimal?
With the small sample provided, it doesn't look as if it is repeating. The problem, however, lies in the "and so forth"; it is not clear what rule you use to write the decimal digits, and depending on what exactly that rule is, it may, or may not, be a repeating decimal. To be "repeating", and therefore a rational number, after a while the same group of digits has to repeat over and over, without end.
Does all the numbers have to repeat in order to be a rational number?
For a number to be rational you need to be able to write it as a fraction. To answer your question, it must repeat as a decimal or else terminate which can be thought of as repeating zeroes. Further, every repeating decimal can be written as a fraction and you can find the fraction by using the formula for the sum of an infinite geometric series.
When writing a repeating decimal as a fraction does the number of repeating digits you use matter?
No... you can write it to any number of decimal places.
How do you find rational numbers between two irrational numbers?
An irrational number is expressed as a non-repeating decimal that goes on forever. Write out the enough of the decimal expansion of each number to find the first digit where the two numbers disagree. Truncate the larger number at that digit, and the result is a rational number (terminating decimal) that is between the two.
Is 12.52 rational or irrational?
12.52 is rational, as is any number that you can write out completely in decimal form.
How to write a decimal as a fraction-?
A decimal can only be expressed as a fraction if it is a rational number as for example 0.75 = 3/4 because it is a rational number
How do you write 0.11 as a rational number?
It is a rational number, in decimal form. In the form of a ratio, it is 11/100.
How do you write a rational number as a decimal?
You divide the numerator of the rational expression by its denominator.
How to write a repeating decimal?
for example if the decimal is 6.6 then to make it a repeating decimal you have to write it with a line on top of the .6 thats repeating
How do you find the rational form of a negative fraction?
To write something in rational form means to write it as a fraction. If you are given a negative number in the form of a fraction, it is already in rational form. If you are given a decimal and wish to turn it into a fraction, just use 10, 100, etc as the denominator. In the case of a repeating decimal there is a method but that's another question!
How can you write a rational number as a decimal?
Divide the denominator into the numerator.
Is 0.123467239 and so fort a repeating decimal?
With the small sample provided, it doesn't look as if it is repeating. The problem, however, lies in the "and so forth"; it is not clear what rule you use to write the decimal digits, and depending on what exactly that rule is, it may, or may not, be a repeating decimal. To be "repeating", and therefore a rational number, after a while the same group of digits has to repeat over and over, without end.
How do you write .72 repeating as a decimal?
0.72 repeating written as a decimal is 0.72 repeating
