Find 8 rational numbers between 1 and 01
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Correct Question :
- Find 8 rational numbers between -1 and 1
To Find :
- 8 rational numbers between -1 and 1
Solution :
To find all the eight rational numbers in one step. Since we want eight numbers, we write -1 and 1 as rational numbers with denominators 8 + 1 = 9.
-1 can be written as :
- -1 × 9/9 = -9/9
1 can be written as :
- 1 × 9/9 = 9/9
Then you can check that -8/9 , -7/9 , -6/9 , -5/9 , -4/9 , -3/9 , -2/9 , -1/9 , 1/9 , 2/9 , 3/9 , 4/9 , 5/9 , 6/9 , 7/9 , 8/9 are all the rational numbers between -1 and 1.
Therefore :
- Eight rational numbers between -1 and 1 are -8/9 , -7/9 , -6/9 , -5/9 , 3/9 , 4/9 , 5/9 and 8/9 .
Remark :
- Notice, you were asked to find eight rational numbers between -1 and 1 . But, you must have realised that in fact there are infinitely many Rational numbers between -1 and 1 . In general, there are infinitely many rational numbers between any two given rational numbers.
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