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−48 12
Example 14: Product of two rational numbers is . If one of them is , find the other.
35 7

−48 12 − 48 4 7 1 −4
Solution: The required other number = ÷ = × = .
35 7 35 5 12 1 5
−4
Thus, the other number is .
5

Think and Answer

“A beautiful maiden, with her limbs decorated, asks: "Out of a swarm of bees, one-sixth settled on a Kadamba
flower, one-third on a Silindhira flower, and three times the difference between these two numbers flew over
a Kutaja flower. One bee remained in the air. What is the total number of bees in the swarm?"

Practice Time 3D

1. Multiply the following.

2  −11   6   −14   19 
2
(a) ×− ( 49) (b)   × 10 (c) − ( ) ×   (d)   ×  
7  5   −13   5   −36 
3  − 55  7 8 5 − 13  12   − 121
− 
(e) ×   (f)   × 7 (g) × (h)   ×  
11  12   6  5 13 − 35  − 11  − 144
2. Divide the following.

 −  5  − 11  13   −10  5
(a)   6   ÷ 24 (b) 121 ÷  7   (c)   − 19  ÷ 78 (d)   27  ÷ 2


 −30   3  55  − 11  40   3  7 3
÷
(e)   −49  ÷   7  (f) 28   4  (g)   − 33 ÷   − 2  (h) 12 ÷ 7


− 

3. Simplify the following.
 2   5 6   13  12     − 28  45 
(a)   21 ×− ( 7) +  13 × 15  (b)  8 ×  − 91     9   ×  − 7    
−
 





 
  −  1 3   3  −24    48 12  63  − 9 
(c)    ÷   ÷    (d)  ÷  ×  ÷   
×
  6  8   13  39    17 7   5  20  
4. The product of two rational numbers is −8 . If one of them is 4 , find the other.
21 7
−35 −3
5. By what number should we multiply to get .
12 10
1 1
6. Find the distance covered by the car in 3 hour at a speed of 41 km/hr.
5 3
7. Divide the sum of 8 and − 11 with the product of 5 and 3 .
9 6 4 10
8. Divide the sum of 5 2 and 3 1 with their difference.
3 6

Mathematics-7 70