Greater than sign and Less than sign Application in Scientific Method
In mathematics, we generally come across greater than sign, lessthan 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, its use and application in our day to
day physical world.
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.
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 of positive sign and multiplication sign operators? These operators generally called increasing operators. If you add up these operators in any part of the equation, it will pop up as a greater than part.
Examples for greater than sign:
Examples for less than sign:
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What is Mathematical Operator Signs?
These logical mathematical signs evolved from basic mathematical operators. There are the following signs of basic operators.- Positive Sign <+>
- Negative Sign <->
- Multiplication sign <X> or <*>
- Division sign or Obelus </> or <÷>
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 (≠)
In
the following sections, we discuss in detail these logical comparison
signs in relation to mathematical operators. As we discussed earlier
mathematical operators operate this comparison sign. In simple each
and 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
to relate these two things in mathematics? we need an equal sign to
relate these two sides of the 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 to 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?
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| Symbol of greater than from T-rex |
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 of positive sign and multiplication sign operators? These operators generally called increasing operators. If you add up these operators in any part of the equation, it will pop up as a greater than part.
Here,
the positive sign operator is nothing but step by step additions.
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 into the left hand
side of the equation. Then left hand part of the equation goes on
increasing order. How to symbolize greater than sign? The open mouth
or diverging part of the symbol of greater than sign for high number
value.Similarly, the narrow or converging part of the same symbol of
greater than sign for lower number value.
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| Symbol of greater than from Aligator |
In
general, the left hand side part of the equation should be higher
than right hand side of the equation. This is called greater than
sign.
How is less than sign evolved from?
Less than sign is
evolved from the reverse order of greater than sign. Instead of using
increasing operators, we use subtracting or negative sign or
deducting or decreasing and division sign operators. If these
operators operate any side of the equation, it will give lower in
number value.
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| Symbol of less than from T-rex |
Moreover,
Negative sign is nothing but step by step deduction or subtraction of
number value. A division sign operator is a deduction in the form of
sets. For example, If you have 100 pencils, then you can do a
deduction one by one. This is called a negative sign operator. If you
have 10 sets of 10 pencils, then you use the division operator to see
partisan of sets. Here, it gives 10 numbers of the pencil in 10 sets.
The sets and partisan are the same.
If
these negative sign and division operators operate on any side of the
equation, then it will give a lowering in the number value. How to
symbolize less than sign? it very similar to greater than sign. But
it works in the opposite way. Let's see, if we rotate the greater
than sign symbol for about 180 degrees, then we get less than sign.
It is just a reverse of greater than sign.
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| Symbol of less than from Aligator |
In
definition, the left hand side part of the equation should be less
than right hand side of the equation. This is called less than sign.
But it is just opposite of greater than sign.
What are the inequality sign in mathematics and the scientific method?
Inequality
plays a very important role in mathematics. Let's see, how? the sets
create a group. There are two types of groups in mathematics. It
classified into the abelian and no-abelian group. we are not going to
discuss the group theory. In simple terms, the group is nothing but
sets and ranges of numbers. For example, if you want to compare two
groups after any kind of operation, then you will ranges of a number
similar or equal to, less than and greater than from one another.
However,
we need an inequality sign to compare between groups with a different
set of values. The famous equation of Heisenberg's uncertainty
equation is the perfect example of inequality in the scientific
method.
There
are two types of inequalities. One type is greater than equal to sign
and another one type is less than equal to sign.
What is not equal to sign?
The
right hand side of the equation of the equation is not equal to left
hand side of the equation. In another way to define, the operators
operate on left hand side of the equation gives different sets of
numbers as compare to right hand of the equation. This can be
applicable for a single number and sets of numbers.
Examples for greater than sign:
- 9 > 6
- 20 > 12
- 401 > 400
Examples for less than sign:
- 5 < 8
- 12 < 22
- 345 < 445
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