Waste less time on Facebook — follow Brilliant.
×

Modular Arithmetic Operations

Considering the remainder "modulo" an integer is a powerful, foundational tool in Number Theory. You already use in clocks and work modulo 12.

Addition and Subtraction

         

March 1, 2016 is Tuesday. What day of the week is April 1, 2016?

6515 leaves a remainder of 4 upon division by 17.
3897 also leaves a remainder of 4 upon division by 17.

Then what is the remainder of 2618 upon division by 17?

What is equivalent to \( 703 - 564 \pmod{7} \)?

What is \(\underbrace{7+7+7+\ldots+7}_{\text{100 7's}}\ \bmod{6}?\)

What is \( (83 + 23) \bmod{4} \)?

×

Problem Loading...

Note Loading...

Set Loading...