If the bottom of a fraction is a multiple of 3 the top number will be the repeating decimal unless it is a 1 then the bottom number will be the repeating decimal. If the botttom number is not a multiple of three it will be a terminating decimal.
any fraction with a denominator of 9 or three will be a repeating decimal examples: 1/9= 0.1 repeating 2/9= 0.2 repeating 3/9 or 1/3= 0.3 repeating and so on... 2/3 = 0.6 repeating
If the denominator of a fraction that's in lowest terms that has no prime factor other than 2 and 5, it's a terminating decimal. If the denominator of a fraction that's in lowest terms that has any prime factor other than 2 or 5, it's a repeating decimal.
A repeating decimal is a decimal that never ends. a terminating decimal has a certain end. Unlike the terminating decimal, the repating decimal goes on forever... Ex. of a terminating decimal 87.6, an ex. of repeating decimal is 28.333333333333....
I think that if the denominator is odd that it will most likely be a repeating decimal and if it is an even number it will most likely be a terminating decimal. For example: 1\9 equals 0.111... and 3\4 equals 0.75.
The pattern is that all repeating decimals on there fraction form is a number then underneath that number there is a multiple of 3 or its a multiple of 11 this is the rule for repeating decimals im pretty sure
Before you change the fraction to a decimal look at the denominator. if its like a 6 or a 33 do a fraction tree and most of the numbers have factors of 3.
If it is a mixed number like 1 and 1/6 it will be a repeating decimal because it will turn to 7/6 which is 1.16 with the 6 repeating. also if the denominator is odd and the numerator is even (sometimes odd like 3/9)it will be a repeating decimal. like 2/3. so if the denominator is even and the numerator is greater then it and is odd (sometimes even) and the denominator is odd and the numerator is even (sometimes odd like 3/9)it will be a repeating decimal. If it is like 1/10 it is a terminating decimal. Andrew Klingaman
My rule is this, after looking over my 2-1 worksheet I have concluded that a repeating decimal will happen when the denominator of a fraction is a prime number, besides 2 or 5. I have seen patterns occuring in the primes, such as having a denominator of 3, 7, 11, or basically any prime numbers after these starters. I have excluded two and five because they go into one hundred evenly, and in my experience have always shown as a terminating decimal when changed. Another part to my rule would be any odd number that is a multiple of three, such as 9, 15, 21, and so on and so forth. These I include in my rule as well, because whenever I have worked with these numbers, they have almost never had a terminating decimal, and if they are able to be simplified, such as five over fifteen, the end result is one third, this of course having a denominator of three is a repeating decimal. There are certain exceptions to the rule though, as in 3 over 15 resulting in 1 over 5 which is a terminating decimal. Because this is a rule on estimation, and has exceptions, it is best to simply do the problem, and justify your answer afterwards.
If the denomanitor is a multiple of three or is eleven. I found this out by going back to 2-1 worksheet and highlighting all the repeating decimals. I found out that this was the answer.
There is a repeating decimal for 1/3 1/6 1/9 and so on so all the way to kabillion but only if u have 1 as the numerator. and then if its not counting by threes its 2,2,2,4.
If the denominator on the fraction is a 9 or a 3 then the decimal will be repeating. Ex.8/9... you divide it and the answer is 0.888888.... That is all I have to say!! Thank you very much for listening!! -Haley :)
If it is prime number where only the number itself and one divide into it evenly then it is a repeating decimal. Examples of prime numbers are 1, 2, 3, 5, 7, 11, 13, 17...
You can tell if a fraction/mixed number will be a terminating or repeating decimal by the fraction/ mixed number’s denominator. If the denominator is an odd number it will usually be a repeating decimal. Although if your numerator is one and your denominator is an even number that may be also be a repeating decimal.
If the fraction is in simplest form and the denominator has a prime factor of 2 or 5 it will terminate. If it does not have a prime factor of 2 or 5 it will repeat.
any fraction that is a multiple of 1/3 will be repeating, except where it becomes equal to 1 such as 3/3 or a multiple of that. Any multiple of a 1/4 fraction will be terminating.
A terminating decimal is a decimal that gos into 100. Example 1/4=0.25. When you have a repeating decimal you get a number that doesn't go into 100 evenly. Example 1/3=.3 repeating.
If the prime factors of the denominator of a simplified fraction include only 2s and 5s, the decimal will terminate. Any other prime factors will repeat.
For example for the fraction 1/15, the prime factors of 15 are 3 and 5. 1 divided by 15 = .0666 repeating.
For 3/16, the prime factors of 16 are 2 x 2 x 2 x 2. 3 divided by 16 = .1875.
if the denominator is divisible by 3 and odd it is reapting and if the denominator is prime and higher than 10 its reapting. If its neither of these its terminating.
rules to know if the fraction is a repeating decimal or terminating decimal: 1)if it is a # that is short-ish and ends in 5 like, maybe, .25. also, if it's a tenths # like .3 or 3/10 it will be terminating. 2) if it's either 33/100, 66/100, or 99/100 it will be repeating.
I developed a rule while playing around with a calculator, when the numerator and denominator are divisable by a number, it will be a repeating decimal when the numerator is greater than the denominator. If the numerator is less than the denominator, chances are it will be a terminating decimal.
37 comments:
If the bottom of a fraction is a multiple of 3 the top number will be the repeating decimal unless it is a 1 then the bottom number will be the repeating decimal. If the botttom number is not a multiple of three it will be a terminating decimal.
if you have a denominator that is divisble by 3 or the number 1
any fraction with a denominator of 9 or three will be a repeating decimal
examples:
1/9= 0.1 repeating
2/9= 0.2 repeating
3/9 or 1/3= 0.3 repeating and so on...
2/3 = 0.6 repeating
If the denominator of a fraction that's in lowest terms that has no prime factor other than 2 and 5, it's a terminating decimal. If the denominator of a fraction that's in lowest terms that has any prime factor other than 2 or 5, it's a repeating decimal.
A repeating decimal is a decimal that never ends. a terminating decimal has a certain end. Unlike the terminating decimal, the repating decimal goes on forever... Ex. of a terminating decimal 87.6, an ex. of repeating decimal is 28.333333333333....
If the bottom number is odd it
will be a repeating decimal if it is even it will terminate
I think that if the denominator is odd that it will most likely be a repeating decimal and if it is an even number it will most likely be a terminating decimal. For example: 1\9 equals 0.111... and 3\4 equals 0.75.
The pattern is that all repeating decimals on there fraction form is a number then underneath that number there is a multiple of 3 or its a multiple of 11 this is the rule for repeating decimals im pretty sure
All of the problems have even numbers somewhere in the number.
Before you change the fraction to a decimal look at the denominator. if its like a 6 or a 33 do a fraction tree and most of the numbers have factors of 3.
If it is a mixed number like 1 and 1/6 it will be a repeating decimal because it will turn to 7/6 which is 1.16 with the 6 repeating. also if the denominator is odd and the numerator is even (sometimes odd like 3/9)it will be a repeating decimal. like 2/3. so if the denominator is even and the numerator is greater then it and is odd (sometimes even) and the denominator is odd and the numerator is even (sometimes odd like 3/9)it will be a repeating decimal. If it is like 1/10 it is a terminating decimal.
Andrew Klingaman
if one of the numbers is divisible by 3 it is repeating
Denominators divisible by 3 and the denominator 11 create repeating decimals.Example: 2/3 is .6 repeating, and 3/11 is .27 repeating.
if the denomenator is a 9 the decimal will be terminating
If a fraction is repeating then its denomenator should be a multiple of 9 and if its termenating it shouldnt be.
My rule is this, after looking over my 2-1 worksheet I have concluded that a repeating decimal will happen when the denominator of a fraction is a prime number, besides 2 or 5. I have seen patterns occuring in the primes, such as having a denominator of 3, 7, 11, or basically any prime numbers after these starters. I have excluded two and five because they go into one hundred evenly, and in my experience have always shown as a terminating decimal when changed. Another part to my rule would be any odd number that is a multiple of three, such as 9, 15, 21, and so on and so forth. These I include in my rule as well, because whenever I have worked with these numbers, they have almost never had a terminating decimal, and if they are able to be simplified, such as five over fifteen, the end result is one third, this of course having a denominator of three is a repeating decimal. There are certain exceptions to the rule though, as in 3 over 15 resulting in 1 over 5 which is a terminating decimal. Because this is a rule on estimation, and has exceptions, it is best to simply do the problem, and justify your answer afterwards.
It well be repeating if denominator the nine, three, elven, six, 33, or 13.
If the denomanitor is a multiple of three or is eleven. I found this out by going back to 2-1 worksheet and highlighting all the repeating decimals. I found out that this was the answer.
There is a repeating decimal for 1/3 1/6 1/9 and so on so all the way to kabillion but only if u have 1 as the numerator. and then if its not counting by threes its 2,2,2,4.
If the denominator of a common fraction which is
in lowest terms has no prime factor other than 2 or 5, its decimal
form terminates.
If the denominator on the fraction is a 9 or a 3 then the decimal will be repeating. Ex.8/9... you divide it and the answer is 0.888888....
That is all I have to say!!
Thank you very much for listening!!
-Haley :)
If it is prime number where only the number itself and one divide into it evenly then it is a repeating decimal. Examples of prime numbers are 1, 2, 3, 5, 7, 11, 13, 17...
You can tell if a fraction/mixed number will be a terminating or repeating decimal by the fraction/ mixed number’s denominator. If the denominator is an odd number it will usually be a repeating decimal. Although if your numerator is one and your denominator is an even number that may be also be a repeating decimal.
Jasmine Fritzemeier
Block 4
If the fraction is in simplest form and the denominator has a prime factor of 2 or 5 it will terminate. If it does not have a prime factor of 2 or 5 it will repeat.
if a fraction has a 3 or a 9 the decimal is repeating
any fraction that is a multiple of 1/3 will be repeating, except where it becomes equal to 1 such as 3/3 or a multiple of that. Any multiple of a 1/4 fraction will be terminating.
Example Repeating 1/3, 2/3, 4/3,6/9 12/9, 18/27
A terminating decimal is a decimal that gos into 100. Example 1/4=0.25. When you have a repeating decimal you get a number that doesn't go into 100 evenly. Example 1/3=.3 repeating.
If the prime factors of the denominator of a simplified fraction include only 2s and 5s, the decimal will terminate. Any other prime factors will repeat.
For example for the fraction 1/15, the prime factors of 15 are 3 and 5. 1 divided by 15 = .0666 repeating.
For 3/16, the prime factors of 16 are 2 x 2 x 2 x 2. 3 divided by 16 = .1875.
It appears that if the denominator is evenly divisible by 3 that the fraction will be a repeating decimal.
if the denominator is divisible by 3 and odd it is reapting and if the denominator is prime and higher than 10 its reapting. If its neither of these its terminating.
If you use a fraction that has a value of about 1, you might get a repeating decimal.It usually works asier if it is higher.
1/3 is a repeating decimal,repeating decimals are odd number over a odd number besides the one under that. terminating decimals are even
If the denominator is 9 3 it will repeat.
rules to know if the fraction is a repeating decimal or terminating decimal: 1)if it is a # that is short-ish and ends in 5 like, maybe, .25. also, if it's a tenths # like .3 or 3/10 it will be terminating. 2) if it's either 33/100, 66/100, or 99/100 it will be repeating.
The denominator has to be a multiple of 11 or 3 because I looked at worksheet 2-1
If the denominator has a 1 (starting at 11),3,7,or 9 in the ones place it will be a repeating decimal.
I developed a rule while playing around with a calculator, when the numerator and denominator are divisable by a number, it will be a repeating decimal when the numerator is greater than the denominator. If the numerator is less than the denominator, chances are it will be a terminating decimal.
Post a Comment