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Q1.   What space is space the space number space of space rational space numbers space between space 27 over 16 space and space 35 over 16 ?
  • 1) 8
  • 2) 9
  • 3) More than 16
  • 4) 16

Solution

There are infinite or unlimited number of rational numbers between any two rational numbers.
Q2.
  • 1)
  • 2)
  • 3)
  • 4)

Solution

Q3. Write the rational form of the decimal and represent it on a number line: (i) -0.25   (ii) 0.8

Solution

The rational form of the given decimals are: The rational numbers obtained above can be represented as follows:
Q4.
  • 1)
  • 2)
  • 3)
  • 4)

Solution

Q5. Simplify the following :    

Solution

We have to convert the mixed fractions into improper fractions and then proceed according to the arithmetic expression given in between the numbers.      
Q6. On comparing,   ________ .
  • 1) >
  • 2) <
  • 3) =
  • 4)

Solution

We know that, when denominators are equal, the rational number with the largest numerator is the largest.Here, -35 > -36Hence, >
Q7. Tell whether,   (a) 2.44948... is a rational number or not?   (b) 0.08 is a rational number or not?  

Solution

(a) 2.44948... cannot be written as a fraction, a terminating decimal, or a repeating decimal.   So, 2.44948... is not a rational number.     (b) 0.08 can be written as , which is of the form , where p and q are integers and q0.   So, 0.08 is a rational number.        
Q8. A farmer sold  of his  tons of hay. How many tons of hay did he sell?  

Solution

Total tons of hay owned by the farmer =  tons   Amount of hay sold by him =  of  tons   i.e.   ['of' means multiplication]     Thus, the farmer sold tons of hay.    


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