Question 89

In the following question, correct the equation by interchanging the two signs.
$$7 + 10 ÷ 5 - 5 $$= 10

Solution

We can interchange the symbols of the given equation $$7 + 10 ÷ 5 - 5 $$= 10 in three ways,

1. Interchanging $$\div and +$$, we get $$7 ÷ 10 + 5 - 5 $$= 10    

solving this equation ,  $$7 ÷ 10 + 5 - 5 $$ = $$ \frac{7} {10} + 5 - 5 $$

                                                           =$$\frac{7}{10}$$

                                                               = 0.7

0.7 is not equal to 10. so this is not the answer.                                                                                                                                                        

2. Interchanging $$\div and -$$, we get $$7 + 10 - 5 ÷ 5 $$= 10    

solving this equation ,  $$7 + 10 - 5 ÷ 5 $$ = $$7 + 10 - \frac{5} {5} $$

                                                               =$$7 + 10 - 1$$

                                                               = 16

16 is not equal to 10. so this is not the answer.

3. Interchanging $$+ and -$$, we get $$7 - 10 ÷ 5 + 5 $$= 10    

solving this equation , $$7 - 10 ÷ 5 + 5 $$ = $$7 -  \frac {10}{5} +5 $$

                                                               =$$7 - 2 + 5$$

                                                               = 10

10 is not equal to 10. LHS = RHS . so, $$+ and -$$ is the answer.

               


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