Modular Arithmetic 1

CONTENT:

1. Revision of addition and subtraction of integers
2. Revision of multiplication and division of integers
3. Concept of modular arithmetic/Cyclic events

Revision of addition, subtraction, multiplication and division of integers

Recall: Integers are counting whole numbers, either positive or negative. Examples 1, 5, 20, −1, −5, etc.

These numbers can be added, subtracted, divided or multiplied.

(i) Addition of integers;

(a) 486 + 289 = 775

(b) −25 + (−78) = −103

(ii) Subtraction of integers;

(a) 582 − 328 = 254

(b) 902 − 437 = 465

(iii) Multiplication of integers;

(a) 181 × 42 = 7602

(b) 208 × 5 = 1040

(iv) Division of integers;

(a) 972 ÷ 27 = \(\frac{972}{27} = 36\)

(b) 1008 ÷ 12 = \(\frac{1008}{12} = 84\)

Class Activity:

Solve the following:

1. 3092 + 216 + 1801 =

2. 2968 − 989 =

3. 318 × 2 =

4.