Drag to sort
Identify which numbers are Rational (terminating/repeating) and Irrational (non-repeating, endless).
Rational
Irrational
Tap to select
The sum of a Rational and an Irrational is ALWAYS Irrational.
Tap all the expressions that result in an Irrational number.
Great job! Rational + Irrational = Irrational!
Slide to multiply
Multiplying by an irrational usually keeps it irrational.
Find the ONLY rational multiplier that destroys the irrational part!
{{ step3.multiplier }}
×
=
{{ (step3.multiplier * 1.41421356).toFixed(4) }}...
0
Result is {{ step3.multiplier === 0 ? 'RATIONAL' : 'IRRATIONAL' }}
-3-2-10123
Toggle the rules
Set the switches to True or False to complete the circuit.
Circuit Complete! Rules Confirmed.
🏆
Master of Irrationals!
You've sorted the endless decimals, discovered that mixing them keeps them wild, and found the only zero-point loophole!