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Q.

State true or false:


Three equivalent rational numbers between 0 and –10 are 2 , 10 5 , and 20 10 and .


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a

True

b

False 

answer is A.

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Detailed Solution

Here, we are given a statement, three equivalent rational numbers between 0 and –10 are 2 , 10 5 and 20 10 .
Equivalent rational numbers are those rational numbers whose standard forms are equal or same.
We can rewrite the given rational numbers in the form of p q as 0 1 and 10 1 .
Now, as the denominators of both the numbers are same, so we have a rational number between them as 2 . So, we can have two more rational numbers equivalent to 2 as follows,
2× 5 5 = 10 5 2× 10 10 = 20 10
Thus, the three rational numbers between 0 and –10 are 2 , 10 5 and 20 10 .
Hence, the given statement is true.
Hence, the correct option is (1).
 
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