Skip to content

CASIO

User´s Guide

Find

Recurring Decimal Calculations

Your calculator uses a recurring decimal when you input a value. Calculation results also can be displayed using recurring decimal form whenever applicable.

Inputting a Recurring Decimal

When inputting a recurrent decimal, press () before inputting its period (repetend) and then input the period up to the ending value. To input the recurring decimal 0.909090.... (0.90), perform the following operation: “0() 90”.


Important!

If the value starts with an integer part (like: 12.3123123...), do not include the integer part when inputting the period
(12.312).

Recurring decimal input is possible only when MathI/MathO or MathI/DecimalO is selected for Input/Output on the setup menu.


Example 1: To input 0.33333… (0.3)

  • 0
  • ()
  • 3

Example 2: To input 1.428571428571... (1.428571)

  • 1()
  • 428571

Example 3: To calculate 1.021 + 2.312

  • 1() 021
    2() 312

Calculation result displayed as recurring decimal value:

Displaying a Calculation Result as a Recurring Decimal Value

Calculation results that can be displayed as recurring decimal values will be displayed as such when On is selected for the Recurring Dec setting on the setup menu.

Pressing the key will cycle between the available calculation result formats.


Example 1: 17 = 0.142857 = 0.1428571429 (Number Format: Norm 1)

  • 17

Display as recurring decimal:

Decimal value according to Norm 1 setting:

Return to initial display format (fraction):


Example 2: 1 ÷ 7 = 17 = 0.142857 = 0.1428571429 (Number Format: Norm 1)

  • 17(≈)

Display as fraction:

Display as recurring decimal:

Return to initial display format (Norm 1):


Example 3: 17 = 0.142857 = 0.1428571429 (Norm 1)

(LineI/LineO)

  • 17

Display as recurring decimal:

Decimal value according to Norm 1 setting:

Return to initial display format (fraction):


Example 4: 1 ÷ 7 = 0.1428571429 (Norm 1) = 0.142857 = 17

(LineI/LineO)

  • 17

Display as fraction:

Display as recurring decimal:

Return to initial display format (Norm 1):

Conditions for Displaying a Calculation Result as a Recurring Decimal

If a calculation result satisfies the following conditions, pressing will display it as a recurring decimal value.

The total number of digits used in the mixed fraction (including integer, numerator, denominator, and separator symbol) must be no more than 10.

Recurring Decimal Examples

Example 1: 0.3 + 0.45 = 0.78

  • 0() 3
    0() 45

Example 2: 1.6 + 2.8 = 4.5

  • 1() 6
    2() 8

Example 3: To confirm the following: 0.123 = 123999, 0.1234 = 12349999, 0.12345 = 1234599999

  • 123999
  • 12349999
  • 1234599999
print this page
Top of page