Properties of Numbers
Commutative Property: In accordance with the commutative property, if a and b are two real numbers;
- a+b = b+a
- a.b = b.a
In accordance with the associative property, if a, b, and c are three real numbers;
- (a+b)+c = a+(b+c)
- (a.b).c = a.(b.c)
Distributive Property: In accordance with distributive property, if a, b, and c are three real numbers;
- a × (b + c) = a×b + a×c
Closure Property: If two numbers are combined together, just another number will result, like in;
- a+b = c; where a, b and c are three real numbers.
Identity Property: A number will not change if we multiply it by one or by zero.
- a.1 =a
Additive Inverse: If a number is added to another number that is negative in comparison, the outcome is zero.
- a+(-a) = 0
Inverse multiplication: If a value other than 0 is multiplied by its own reciprocal, the outcome is 1.
- a x (1/a) = 1
Zero Product Property: If a.b = 0, then; either a = 0 or b = 0.
Reflexive Property: This property reflects the number itself.
- a = a
As a result, a number will be divisible by 60 if it is divisible by both 5 and 12.
A number is divisible by both 5 and 12. By which another number will that number be always divisible?
An amount can be divided by both 5 and 12. It will always divide evenly into 60. The various properties of numbers are reflexive property, zero product property, inverse multiplication, additive inverse, identity property, closure property, distributive property, etc.
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