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numtheory(deprecated)

  

pdexpand

  

compute the periodic expansion of a rational number

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

pdexpand(n)

Parameters

n

-

rational number

Description

• 

Important: The numtheory package has been deprecated.  Use the superseding command NumberTheory[RepeatingDecimal] instead.

• 

pdexpand returns the periodic decimal expansion of the given rational number n.

• 

Every rational number has a periodic (or terminating) decimal expansion. The converse is also true; a periodic expansion always represents a rational number.

• 

The result is returned as in the form PDEXPANDs,q,np,p where s is the sign of n, q the positive integer part, np the non-periodic part, and p the periodic part of n.

• 

Use convert/rational to find the rational number of a periodic decimal expansion.

• 

The command with(numtheory,pdexpand) allows the use of the abbreviated form of this command.

Examples

Important: The numtheory package has been deprecated.  Use the superseding command NumberTheory[RepeatingDecimal] instead.

withnumtheory:

pdexpand17

PDEXPAND1,0,,1,4,2,8,5,7

(1)

convert,rational

17

(2)

pdexpand8374

PDEXPAND−1,1,1,2,1,6

(3)

convert,rational

8374

(4)

See Also

convert/rational

evalf

NumberTheory[RepeatingDecimal]