We are always afraid of negative sign.
The history books tells us that Julius Ceaser was born in 100 BC, not - 100. Some times, we say it is -5 degrees outside, but many prefer to say 5 below zero. Sub ground floors in a mall are sometimes called B1,B2 instead of -1,-2. There is something unpleasant about minus sign.
Why minus multiplied minus is plus. Let us try to answer this enigma. We know 1*3 is 1+1+1. ok. Similarly -1*3 is (-1) +(-1) +(-1) = -3, also ok. With the same logic, we will do the following
-1*3 = -3
-1*2= -2
-1*1= -1
-1*0=0
-1*-1=? what
At every step, we are adding 1 to the result. Hence logically (-1)*(-1) =1, must be.
But, how to give a meaning from real life. Let us try,
My friend's friend is also my friend
My friend's enemy is also my enemy.
But my enemy's enemy is my friend.
(-1)*(-1) =(+1)
Consider toggle switch. One press changes the state of the switch. On to OFF, or OFF to ON. Hence ' the press of toggle switch' is equal to minus sign. One press reverses the state. But the two presses restore the original state.
(-1)*5 = -5
(-1)*(-1)*5 = 5
Now we will go to relationship triangles. The corners signify people, companies or countries and the lines connecting them indicate their relationships, which can be positive (friendly, shown as solid lines) or negative (hostile, shown as broken lines).
In the first triangle, A, B and C are people and they are all also close friends. Their relationships are stable. And the triangle said to be balanced one. In the second triangle A is the enemy of B and C is the enemy of A. B and C are friends. 'A' common enemy and strongly cements the friendship between B and C. Hence this triangle is also balanced one.
The rule: "The product of signs of the two sides of the triangle must be equal to the sign of third side". The above two triangles obey this rule.
This is the unbalanced triangle. Harry and Bob are enemies. Tom wants to make friends with both harry and Bob. It is not possible. Tom should take one of the two sides or Harry and Bob should throw away their hatred. If the relationship remains as it is, Tom will be in trouble.
GB - Great Britain
AH- Austria Hungary
FR- France
GE -Germany
Ru - Russia
It-Italy
Above is the relationship diagram which caused world war I. There are some Unbalanced triangles here. The split of Europe triggered the war.
Make your relationships a balanced one.
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The history books tells us that Julius Ceaser was born in 100 BC, not - 100. Some times, we say it is -5 degrees outside, but many prefer to say 5 below zero. Sub ground floors in a mall are sometimes called B1,B2 instead of -1,-2. There is something unpleasant about minus sign.
Why minus multiplied minus is plus. Let us try to answer this enigma. We know 1*3 is 1+1+1. ok. Similarly -1*3 is (-1) +(-1) +(-1) = -3, also ok. With the same logic, we will do the following
-1*3 = -3
-1*2= -2
-1*1= -1
-1*0=0
-1*-1=? what
At every step, we are adding 1 to the result. Hence logically (-1)*(-1) =1, must be.
But, how to give a meaning from real life. Let us try,
My friend's friend is also my friend
My friend's enemy is also my enemy.
But my enemy's enemy is my friend.
(-1)*(-1) =(+1)
Consider toggle switch. One press changes the state of the switch. On to OFF, or OFF to ON. Hence ' the press of toggle switch' is equal to minus sign. One press reverses the state. But the two presses restore the original state.
(-1)*5 = -5
(-1)*(-1)*5 = 5
Now we will go to relationship triangles. The corners signify people, companies or countries and the lines connecting them indicate their relationships, which can be positive (friendly, shown as solid lines) or negative (hostile, shown as broken lines).
In the first triangle, A, B and C are people and they are all also close friends. Their relationships are stable. And the triangle said to be balanced one. In the second triangle A is the enemy of B and C is the enemy of A. B and C are friends. 'A' common enemy and strongly cements the friendship between B and C. Hence this triangle is also balanced one.
The rule: "The product of signs of the two sides of the triangle must be equal to the sign of third side". The above two triangles obey this rule.
AH- Austria Hungary
GE -Germany
Ru - Russia
It-Italy
Above is the relationship diagram which caused world war I. There are some Unbalanced triangles here. The split of Europe triggered the war.
Make your relationships a balanced one.
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