July 22, 2024
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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

  • 6v/3v = 6^/3v = 2v
  • 6v/3v = 6v/3^ = 2v                       
  • 1^*(1^/1^) = 1^*(1v/1v)   = 1^*1^  = 1^
    • Note that 2 flips cancel out
  • 1v*(1^/1^)  = 1v*(1v/1v)  = 1v*1^  = 1v
  • 3^*(4^/3^)  = (3^*4^)/3^ = 12v/3^ = 4v
  • 3^*(4v/3^) =  3^*(4^/3v) = (3^*4^)/3v = 12^/3v =   4v
    • 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.    

  • 6v/3 = 2^

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

  • 3^*(4v/3) = 3^*(4v/3) =  (3^*4v)/3 =  12v/3 =   4v

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

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