d. **Inverse Properties**.

a + (-a) = 0

For each nonzero real number a,

there is a unique real number 1/a

such that:

1

a X -- =1

a

Examples:

3 + (-3) = 0

1

12 X -- = 1

12

e. **Distributive Property**.

a (b + c) = ab + ac

Example: 2(3 + 2) = (2 X 3) + (2 X 2)

a. Subtraction is a special case of addition.

a - b = a + (-b)

Example: 5 - 2 = 5 + (-2)

b. Division is a special case of multiplication.

a

1

-- = a X -- provided that b is not equal to 0

b

b

Example: 6

1

-- = 6 X --.

3

3

Division by 0 is undefined, because any real number divided by 0 has no

solution.

MD0837

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