R1 – Division – Flipping

Definition

Flipping in R1 division can be applied to the individual Opposite Values or to the result to reverse their signs.

R1 Flipping Opposite Values

• ^–6^v/3^v = 6^{^}/3^v = 2^v
• 6^v/^–3^v = 6^v/3^{^} = 2^v                       
• 1^{^}*(^–1^{^}/^–1^{^}) = 1^{^}*(1^v/1^v)   = 1^{^}*1^{^}  = 1^{^}
  • Note that 2 flips cancel out
• 1^v*(^–1^{^}/^–1^{^})  = 1^v*(1^v/1^v)  = 1^v*1^{^}  = 1^v
• 3^{^}*(^–4^{^}/3^{^})  = ^–(3^{^}*4^{^})/3^{^} = 12^v/3^{^} = 4^v
• 3^{^}*(^–4^v/^–3^{^}) =  3^{^}*(4^{^}/3^v) = (3^{^}*4^{^})/3^v = 12^{^}/3^v =   4^v
  • Note that the flip on the divisor cancels out the flip on the numerator.

R1 Flipping Counters

The flip sign applies to the result in R1 division when used with a Counter. This is because Counters do not have an Opposite Sign to flip.    

• 6^v/^–3 = 2^{^}

The flip on the Counter divisor cancels out the flip on the Opposite Value numerator.

• 3^{^}*(^–4^v/^–3) = 3^{^}*(4^v/3) =  (3^{^}*4^v)/3 =  12^v/3 =   4^v

R1 Flipping Terms

The Opposite Value of a term must be worked out before the flipping can take place in R1 division. An exception to this is where 2 flips happen together and cancel each other out. For example:

• b*(^–a/^–b) = a
• ^–2*^–2a = 4a

Conclusion

Try these examples of flipping and R1 division with our online calculator.

Next : Roots

Previous: Advanced Division