Scroll:Real Number System >> Rational ( Exercise1.2) >> saq (4377)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 58


Answer:_______________




2)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 38


Answer:_______________




3)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 48


Answer:_______________




4)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 59


Answer:_______________




5)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 48


Answer:_______________




6)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 49


Answer:_______________




7)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 38


Answer:_______________




8)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 57


Answer:_______________




9)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 47


Answer:_______________




10)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 49


Answer:_______________




 

1)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 58

Answer: 4980


SOLUTION 1 :

  35 and 58

a = 35 ,  b = 58

Let q1 be the rational number between 35 and 58

q1 = 12 (a+b)

1
x
 
3x8+5x5
25x88x5

 

[LCM of 5 and 8 is 40]

1
x
 
24+25=1x49=49= 4980
2404024080

 

Hence, 4980 is a rational number between 35 and 58



2)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 38

Answer: 716


SOLUTION 1 :

  36 and 38

a = 36 ,  b = 38

Let q1 be the rational number between 36 and 38

q1 = 12 (a+b)

1
x
 
3x8+3x6
26x88x6

 

[LCM of 6 and 8 is 48]

1
x
 
24+18=1x42=42= 716
2484824896

 

Hence, 716 is a rational number between 36 and 38



3)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 48

Answer: 12


SOLUTION 1 :

  36 and 48

a = 36 ,  b = 48

Let q1 be the rational number between 36 and 48

q1 = 12 (a+b)

1
x
 
3x8+4x6
26x88x6

 

[LCM of 6 and 8 is 48]

1
x
 
24+24=1x48=48= 12
2484824896

 

Hence, 12 is a rational number between 36 and 48



4)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 59

Answer: 49


SOLUTION 1 :

  26 and 59

a = 26 ,  b = 59

Let q1 be the rational number between 26 and 59

q1 = 12 (a+b)

1
x
 
2x9+5x6
26x99x6

 

[LCM of 6 and 9 is 54]

1
x
 
18+30=1x48=48= 49
25454254108

 

Hence, 49 is a rational number between 26 and 59



5)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

34 and 48

Answer: 58


SOLUTION 1 :

  34 and 48

a = 34 ,  b = 48

Let q1 be the rational number between 34 and 48

q1 = 12 (a+b)

1
x
 
3x8+4x4
24x88x4

 

[LCM of 4 and 8 is 32]

1
x
 
24+16=1x40=40= 58
2323223264

 

Hence, 58 is a rational number between 34 and 48



6)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

26 and 49

Answer: 718


SOLUTION 1 :

  26 and 49

a = 26 ,  b = 49

Let q1 be the rational number between 26 and 49

q1 = 12 (a+b)

1
x
 
2x9+4x6
26x99x6

 

[LCM of 6 and 9 is 54]

1
x
 
18+24=1x42=42= 718
25454254108

 

Hence, 718 is a rational number between 26 and 49



7)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 38

Answer: 3980


SOLUTION 1 :

  35 and 38

a = 35 ,  b = 38

Let q1 be the rational number between 35 and 38

q1 = 12 (a+b)

1
x
 
3x8+3x5
25x88x5

 

[LCM of 5 and 8 is 40]

1
x
 
24+15=1x39=39= 3980
2404024080

 

Hence, 3980 is a rational number between 35 and 38



8)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 57

Answer: 1728


SOLUTION 1 :

  36 and 57

a = 36 ,  b = 57

Let q1 be the rational number between 36 and 57

q1 = 12 (a+b)

1
x
 
3x7+5x6
26x77x6

 

[LCM of 6 and 7 is 42]

1
x
 
21+30=1x51=51= 1728
2424224284

 

Hence, 1728 is a rational number between 36 and 57



9)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

36 and 47

Answer: 1528


SOLUTION 1 :

  36 and 47

a = 36 ,  b = 47

Let q1 be the rational number between 36 and 47

q1 = 12 (a+b)

1
x
 
3x7+4x6
26x77x6

 

[LCM of 6 and 7 is 42]

1
x
 
21+24=1x45=45= 1528
2424224284

 

Hence, 1528 is a rational number between 36 and 47



10)  

 Find one rational number between the following pairs of rational numbers.(ples use / )

35 and 49

Answer: 4790


SOLUTION 1 :

  35 and 49

a = 35 ,  b = 49

Let q1 be the rational number between 35 and 49

q1 = 12 (a+b)

1
x
 
3x9+4x5
25x99x5

 

[LCM of 5 and 9 is 45]

1
x
 
27+20=1x47=47= 4790
2454524590

 

Hence, 4790 is a rational number between 35 and 49