Using Deductive Thinking Approach
Using deductive approach can be implemented when solving mathematical problems that involve logics.
Deductive thinking also known as "Deductive reasoning", also deductive logic or logical deduction or, informally, "top-down" logic,it is the process of reasoning from one or more statements (premises) to reach a logically certain conclusion.
An example of a deductive argument:
All men are mortal.
Socrates is a man.
Therefore, Socrates is mortal.
The first premise states that all objects classified as "men" have the attribute "mortal". The second premise states that "Socrates" is classified as a "man" – a member of the set "men". The conclusion then states that "Socrates" must be "mortal" because he inherits this attribute from his classification as a "man".
To solve a problem, you are required to think logically and draw conclusion from the data or information (generated data into meaning form) given. You solve the problem by using deductive rather than inductive (making guesses). Deductive reasoning is a basic form of valid reasoning. Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion. The scientific method uses deduction to test hypotheses and theories.
In deductive reasoning, if something is true of a class of things in general, it is also true for all members of that class. For example as from above, "All men are mortal. Harold is a man. Therefore, Harold is mortal." For deductive reasoning to be sound, the hypothesis must be correct. It is assumed that the premises, "All men are mortal" and "Harold is a man" are true. Therefore, the conclusion is logical and true.
It's possible to come to a logical conclusion even if the generalization is not true. If the generalization is wrong, the conclusion may be logical, but it may also be untrue. For example, the argument, "All bald men are grandfathers. Harold is bald. Therefore, Harold is a grandfather," is valid logically but it is untrue because the original statement is false.
Let use a simple math problem as an example
75 > 50 + ________, what is the greatest possible number and what is the smallest possible number?
From the above equation, assume you are working on a whole number also involving zero, since it is an inequality that
76 is greater than 75, and 75 is not smaller than 75, it is therefore 74 is the greatest number of the whole number you can use.
Hence 50 + 24 = 74, so the greatest number is 24 and the smallest number would be zero.
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