Evaluate these quantities.

a.-17 mod 2

b. 144 mod 7

c.-101 mod 13

d. 199 mod 19

Modular arithmetic is used to find the remainder when dividing the first number by the second number you can divide the term then multiply the (or use the mod function of a graphing calculator with the first term first in the ordered pair and the second in the second term.

-17/2 = 8.5 2*.5 = 1

a. 1

-144/7 = - 20 5/7. 4/7 * 7 = 4

b. 4

-101/13 =

c. 3

199/19=

d. 9