Explain transposition.


Transposition:

When a term moves (transposes) to the other side of the equation, its operation changes to the inverse operation

The inverse operation of an addition is a subtraction. Multiplication and division are inverse operations.

  • An addition changes to a subtraction

                  $x + 1 = 3A$

                  $(+1 moves \ to \ right \ side \ and  \ becomes –1)$

                   $x = 3 – 1 $ 

  • A subtraction changes to an addition

                  Example: $x – 2 = 5$

                 $ x = 5 +2  (-2 \ moves \ to \ right \ side \ and \ becomes +2)$

  • A multiplication changes to a division.

                  Example: $x\times 3 = 4$

                    $x=\frac{4}{3}  (3 \ moves \ to \ right \ side \ and \ becomes \ \frac{1}{3})$

  • A division changes to a multiplication.

                  Example: $\frac{x}{4} = 7$

                   $x =7\times4$

Updated on: 10-Oct-2022

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