7÷6 =1.666 write it in a non terminating recurring decimal form
Answers
Answer:
it is very important question
Step-by-step explanation:
I hope these answers helps you
Answer:
22
Step-by-step explanation:
It is very simple to identify whether the decimals of a fraction will be terminating or not....
Let me explain with a few examples.
Here are a few numbers:
49/3 , 67/5 , 28/6 , 55/7 , 35/2 , 65/10 , 23 / 125
Let's solve these fractions to figure out what their decimals are:
1) 49/3 = 16.3333...
This number has recurring and non-terminating decimals.
2) 67 / 5 = 13.4
This number has terminating decimals.
3) 28 / 6 = 4.6666...
This number has recurring and non-terminating decimals.
4) 55 / 7 = 7.857142857...
This number has recurring and non-terminating decimals.
5) 35 / 2 = 17.5
This number has terminating decimals.
6) 65 / 10 = 6.5
This number has terminating decimals.
7) 23 / 125 = 0.184
This number has terminating decimals.
Did you observe a pattern?
All the numbers in the denominator which are divisible only by 2 and 5 are the terminating fractions....
No matter what the numerator is (but it should be a terminating fraction), if your denominator is in the form (2^x)(5^y), where x and y are whole numbers, the result will be a terminating fraction.
Take example of the number 100. Its prime factors are 2 and 5. (It can be written as (2^2)(5^2). (Here x = 2 and y = 2)
Which means its only factors are 2 and 5. Hence, of the denominator of any fraction is 100, your result will be a number with a terminating decimal.
So our conclusions are:
If the denominator of a fraction has only 2 and 5 as its prime factors, then the fraction will result into a number with terminating decimal.
Just keep a thing in mind....
If the numerator is perfectly divisible by the denominator, then there's no need to think!
66 / 3 = ?
It's not a number with a non terminating decimal! Because 66 is divisible by 3! You result will be 22...
Thank You!
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