1. Integers

Revision Notes:

1. Integers include: 

2. Integer properties:

• Closure property: When integers are added or subtracted or multiplied, the answer is an integer.
• Commutative property:

For addition: a + b = b + a

For multiplication: a x b = b x a

• Associative property:

For addition: a + (b + c) = (a + b) + c

For multiplication: a x (b x c) = (a x b) x c

3. Distributive Property:

• Multiplication is distributive over addition and subtraction.
• a x (b + c) = a x b + a x c
• a x (b - c) = a x b - a x c

4. Additive identity of Integers is zero.

    i.e. a + 0 = 0 + a = a

5. Multiplicative identity of Integers is 1.

    i.e. a × 1 = 1 × a = a

6. An integer multiplied by zero is zero. i.e. a x 0 = 0

7. Any integer divided by 1 gives the same integer, i.e. a ÷ 1 = a 

8. For an integer, a ÷ 0 is not defined.

9. Rules for addition of integers:

10. Rules for subtraction of integers:

11. Rules for multiplication & division of integers: