MODULAR ARITHMETIC_RULES

True or False: If 𝑏>𝑎>0, then 𝑎 mod  𝑏=𝑎.

• TRUE

• FALSE

Fill in the Blank: The modulo operation of any number 𝑏b with itself (𝑏mod  𝑏)(bmodb) is always equal to __.

If 𝑎<0, then 𝑎 mod  𝑏 is calculated as 𝑏−_________.

If 𝑎<0, then 𝑎 mod 𝑏 is:

• a+b

• b−remainder

• a

• b

If 𝑏=−5 and 𝑎=11, then 𝑎 mod  (−𝑏) is:

• 1

• 6

• -4

• 0

9 mod -2=?

• 1

• 2

• -1

• 0

-7 mod 5 is

• 1

• 2

• -3

• 3

10 mod 10 =

• 2

• 0

• 4

• 3

If 𝑏<0, then 𝑎 mod  (−𝑏)= 𝑎 mod 𝑏.

• TRUE

• FALSE

For any nonzero value of 𝑏, 𝑏 mod  𝑏 is equal to __.