Mathematics Basics!
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1. Closure Property:
Multiplication of integers gives an integer.
Example:
5 x 3 = 15
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2. Commutative Property:
Order is not important when we multiply.
'a' x 'b' = 'b' x 'a'.
Example:
7 x 4 = 4 x 7 = 28
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3. Associative Property:
Pairing is not important when we multiply.
('a' x 'b') x 'c' = 'a' x ('b' x 'c')
Example:
(7 x 4) x 2 = 7 x (4 x 2)
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4. Distributive Property:
If a, b and c are any three integers, then a x (b + c) = a x b + a x c.
Example:
7 x (4 + 5) = 7 x 4 + 7 x 5 = 28 + 35 = 63
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5. Existence of Identity:
Any number multiplied by 1 results in that number itself.
Example:
7 x 1 = 7
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Example:
(-4) x 1 = -4
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Example:
(-21) x (-3) = 63
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Example:
5 x (-3) = -15
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Example:
4 x 0 = 0
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Example:
(+5) x (-6) = -30
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Example:
(-7) x (-8) = +56 = 56
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Example:
(-7) x (-8 x -2) = (-7) x 16 = -112
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