Tuesday 31 January 2012

Negations in Mathematics

Previously we have discussed about how to solve limits and In today's session we are going to discuss about Negation in math,it is used to represent the negative value of any number and comes under icse books. Word negations itself represents the opposite value of any given value and are used in almost every field of mathematics even in math word problems.
Let us understand it through some examples: If a statement is given " Rise in Temperature by 5 degrees" , then its Negation will be " Fall in the temperature by 5 degrees"
If the rise in the temperature is represented by + 5 , then the fall in temperature would be represented by -5.
Similarly, if we write " deposit Rs 200 in the account" , it is represented by + 200, then its negation would be " withdrawal of Rs 200 from the account"  and it will be represented by -200.
Another statement " 250 meters above the sea level " is represented by + 250 m  its negation will be " 250 meters below the sea level " is represented by - 250 m.
Application of negation is seen in each and every sphere of life. In every mathematical expression , we come across negation  where inverse of any value is taken care of.(want to Learn more about Negations ,click here),
 We also observe that the sum of positive and negative of any number is always zero. Thus +25 + (-25 ) = 0. There are many instances to see the application of negation for solving the problems related to integers. For example, let us consider the problem:
The temperature in Jaipur was observed 12 degrees at 9:00 am, which shot up by 10 degrees at 12:00 noon and then fall down by 15 degrees at 8:00 pm. what was the temperature at 8:00 pm?
To solve such problems we consider rise in temperature as a positive number and the fall in the temperature as a negative integer and then  proceed as follows
= 12 + (+10) + ( -15)
= 22 + (-15)
= 7 degrees Ans.
This is all about the Negations in Mathematics and if anyone want to know about Discreet Mathematics then they can refer to Internet and text books for understanding it more precisely. Read more maths topics of different grades such as Binomial Experiments in the next session here. 

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