State True/False.The value of

(−16)÷
6
5

÷

−9

10

is equal to the value of

(−16)÷

6
5

÷

−9

10

.

Question

State True/False.The value of

(−16)÷
      6
      5

÷
    
     −9
    
     10

is equal to the value of

(−16)÷

6
      5
     
     ÷
      
       −9
      
       10

.

Accepted Answer

Given condition is

−16
     ÷
      6
      5

÷
    
     −9
    
     10
   
   =
    
     −16
   ÷

6
      5
     
     ÷
      
       −9
      
       10

.Solve L.H.S., Converting the

÷
  sign to

×
  sign and inversing the number

6
    5

in

(−16)÷
      6
      5

÷
    
     −9
    
     10

.

−16
     ×
      5
      6

×
    
     10
    
     −9

Now factor the products of numerator and denominator,

−2×2×2×2
   ×
    5
    
     2×3
   
   ×
    
     2×5
    
     −3×3

−2×2×2×2
   ×
    5
    3
   
   ×
    5
    
     −3×3

=
    
     400
    
     27

-----------(1)Solve R.H.S., Converting the

÷
  sign to

×
  sign and inversing the number

6
    5

in

(−16)÷

6
      5
     
     ÷
      
       −9
      
       10

.

−16
   ×

5
      6
     
     ×
      
       −9
      
       10

Now factor the products of numerator and denominator,

−2×2×2×2
   ×
    5
    
     2×3
   
   ×
    
     −3×3
    
     2×5

=
    
     −2×2
   ×1×−3

=12
                                -----------(2)Now by comparing equations (1) and (2).

400
    
     27
   
   ≠12
  Therefore, the value of

(−16)÷
      6
      5

÷
    
     −9
    
     10

is not equal to the value of

(−16)÷

6
      5
     
     ÷
      
       −9
      
       10

.Thus, the given statement is false.Hence, option (2) is correct.

State True/False.

The value of $(− 16) ÷ 65 ÷ − 9 10$ is equal to the value of $(− 16) ÷ 65 ÷ − 9 10$ .

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State True/False.The value of (−16)÷ 6 5 ÷ −9 10 is equal to the value of (−16)÷ 6 5 ÷ −9 10 .

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State True/False.

The value of $(− 16) ÷ 65 ÷ − 9 10$ is equal to the value of $(− 16) ÷ 65 ÷ − 9 10$ .