In mathematics, we generally come across greater than sign, less than sign, equal to sign, not equal to, and an inequality sign. Why we need these mathematical logical signs? How it will be useful in the scientific method of analysis? we learn from our surroundings by using comparison logic. These mathematical signs help us not only to compare mathematical numbers, their use, and application in our day-to-day physical world.
These logical-mathematical signs evolved from basic mathematical operators. There are the following signs of basic operators.
What is Mathematical Operator Signs?
Positive Sign <+>
Negative Sign <->
Multiplication sign <X> or <*>
Division sign or Obelus </> or <÷>
These signs construct a beautiful design of mathematics. Mathematical scientific methods are called abstract knowledge. This particular abstract knowledge applies to any number of fields. Here, positive and multiplication signs are called addition or maximize operators. Thus, these operator signs increase the value of the number from any kind of operation.
But in contrast, negative and division signs are called deduction or minimize operators. Thus, these operators decrease the value of the number from any kind of mathematical operation.
What is a Mathematical logical comparison sign?
In this physical world, we need these mathematical logical comparison signs. These signs give us an understanding of our nature from the scientific way. The following signs are used for this.
- Equal to sign (=)
- Greater than sign (>)
- Less than sign (<)
- Inequality signs (≥) or (≤)
- Not equal to sign (≠)
Why we need all these signs? If our physical world is constant without any change or transformation, then we have not required these signs. But in reality, our physical world is the dynamic change in a periodic way. To predict these dynamic changes, we need a scientific method.
In the following sections, we discuss in detail these logical comparison signs about mathematical operators. As we discussed earlier mathematical operators operate this comparison sign. In simple every comparison in our real world is related to the operation of one or many mathematical operators.
How Equal to sign comes?
In general, any mathematical equation needs two sides. It is called the left side and right side of the equation. From where these concepts evolved? It evolved from our physical reality. In the hand, we have the right and left side hand. In the direction of the map, we have the north and south in one direction. Then, we have the east and west in another direction. In coins, we have a head and tail.
How do relate these two things in mathematics? we need an equal sign to relate these two sides of things in the physical reality. Our past is related to our present and our present is related to our future. If any transformation takes place in any scientific method, then we need an equal sign to relate two states. The equal to sign indicates that no change in the two sides of the equation. If there is no change in the two sides of the equation, then equal to sign works well in the equation.
That means, no operators able to change the state of that particular equation. This is called equal to sign.
How Greater than sign evolved from?
This greater than sign evolved from the positive sign or addition and multiplication sign operators. First, these two operators are related to each other. What is the relation between positive sign and multiplication sign operators? These operators are generally called increasing operators. If you add up these operators in any part of the equation, it will pop up as a greater than apart.
Here, the positive sign operator is nothing but step-by-step additions. The multiplication sign operator adds the number of sets together. For example, If you have 100 pencils, then you can add them one by one by using positive sign operators. similarly, in a simple way, you can make them in sets. If you have ten sets of ten pencils, then you multiply 10 with 10 by using the multiplication operator.
However, a positive sign or multiplication operator adds up to the left-hand side of the equation. Then left-hand part of the equation goes on in increasing order. How to symbolize greater than sign? The open mouth or diverging part of the symbol of greater than the sign for a high number value. Similarly, the narrow or converging part of the same symbol of greater than signing for a lower number value.
How is less than sign evolved from?
What is the inequality sign in mathematics and the scientific method?
What is not equal to a sign?
Examples for greater than sign:
9 > 6
20 > 12
401 > 400
Examples for less than sign:
5 < 8
12 < 22
345 < 445