Profile
Settings
Refer your friends
Sign out
Properties are the underlying characteristics of an element or thing. Similarly, in mathematics, there are rules of properties that govern the basic rules of mathematics. These properties can also be called rules of law for mathematics and help us in getting a better concept. In mathematics, there are diverse fields where these properties are used and their function remains the same irrespective of the fact that these rules are used in Mensuration, trigonometry, calculus, geometry, or number system. So in this article, we will look into some of the basic properties or rules of mathematics.
What are the rules of the properties in mathematics?
The rules of the properties in mathematics mean the basic rules of mathematics which are used in different areas of the subject uniformly. These rules are followed uniformly and universally by all mathematicians. These rules of the properties act similarly to the rule of law which is equally applied across mathematics whether it is calculus, geometry, or Mensuration.
Why are the rules of the properties important?
These rules of properties are important because they serve as the foundation of mathematics and are applied in different fields universally in similar ways. They provide the basic rules of the subject so that there is no ambiguity. For example, take BODMAS, this rule is universally applied similarly, the first Bracket shall be opened and then the rest of the functions shall be performed like division, multiplication, addition, and subtraction. So these rules have become one of the important fundamentals upon which the foundation of mathematics rests.
What are some basic mathematical rules of properties?
The basic mathematical rules of properties are commutative of multiplication, Distributive property, associative property of multiplication, commutative property of addition, associative property of addition, etc. Distributive Property means to multiply or divide each term inside the parentheses by the number outside. The commutative property of Addition states that you can switch the numbers around and still get the same answer. The commutative Property’s Multiplication means that you can switch the numbers around and still get the same answer. Associative Property’s Addition means that the numbers can be rearranged in any manner and still the answer will remain the same. These rules make maths a lot easier because they give you predictability. If the rules are known to you, solving maths will become easier.
What are some other mathematical rules of properties?
The other properties include Additive Identity property, Multiplicative Identity Property, Zero property of multiplication and, additive inverse Property. The number zero is considered as the additive Identity property, such that for every real number x, the sum of x and 0 is x. Multiplicative Identity Property states that a number is there that is called the multiplicative identity, such that for every real number x, the product of x and the multiplicative identity is x. Additive Inverse Property means that for every real number there is an additive inverse, such that the sum of the number and its additive inverse is 0. Zero Property of multiplication means that the product of any number and 0 is 0.
What is closure property and property of equality?
Closure property of addition states that for any two whole numbers a and b, the sum a+b is also a whole number. So, if we take two whole numbers, say, a=12 and b=13, then their sum is 12+13=25 which is again a whole number. This property is also known as the property of closure under addition. The closure property of multiplication means that for any two whole numbers a and b, the product a×b is also a whole number. So, if we take two whole numbers, say, a=12 and b=13, then their product is 12×13=156 which is again a whole number. This property is also known as the property of closure under multiplication. The property of equality states that if two numbers are equal, then their sum is also equal. So, if we take two whole numbers, say, a=12 and b=13, then their sum is 12+13=25 which is again a whole number. This property is also known as the property of equality under addition. The property of equality under subtraction states that if two numbers are equal, then their difference is also equal. So, if we take two whole numbers, say, a=12 and b=13, then their difference is 12-13=-25 which is again a whole number. This property is also known as the property of equality under subtraction.
Conclusion
The rules of the properties are the cornerstone of the foundation of mathematics and they make the foundation concrete. These rules of the properties provide uniformity and give it universal acceptance, and carry the same weight as a rule of law. All those properties of mathematics discussed in the abovementioned are related to the basics of maths like addition, subtraction, multiplication, etc. There are several other rules of properties in mathematics that have not been discussed here and shall surely be discussed in other articles.
