why minus of minus is plus ,why x inverse is 1/x .why like this...?

Answer 1

Multiplicative Inverse Property

1/x is called the Multiplicative Inverse or the reciprocal of x

- - - - - - - - -

Adding two negative integers

( - 9 ) + (- 9) = - 18


0r

The sum of two negative integers is the opposite of the sum of the absolute value.
`
- (∣9 + 9∣) = - 18

Multiplying two negative numbers

( - 2)(-2) = 4

The product of two negative numbers is the product of their absolute value

(∣- 2∣)(∣- 2∣)= 2 X 2 = 4

Dividing two negative integers

- 16 / - 8 = 2

The qutoient of two negative integers is the quotient of their absolute value

∣- 16∣/ ∣- 8∣ = 16/8 = 2

- - - - - - - - - -s-

Answer 2

I

Check this out:

(-1)*(-1) = (-1)*(-1) + -2 + 2 (since -2 + 2 = 0 , we can add it without changing the equation)
= (-1)*(-1) + (-1)*2 + 2 (here, I use the fact that -a = -1(a))
= (-1)(-1 + 2) + 2 ( Here, since first and second term above have (-1) in common, I can factor it out)
= (-1)(1) + 2 = -1 + 2 = 1

Notice that I did not use the fact that (-1)*(-1) = 1 to show this.


The inverse of x is defined to be 1/x , because whenever we multiply x*(1/x) = x/x = 1 (when x does not equal 0)

Answer 3

They like to say that Algebra is logical, but I disagree completely. I only could become good at it after I dropped the logic madness and faced the fact that it is a system of rules that someone made up, some of which don't make sense, and that memorization and staying with the rules is all one can do.
They have this thing called an "axiom" which is supposed to be the most undefinable yet agreed-upon statement in mathematics, but I think all of algebra is axiomatic. Learn, memorize, play by the rules, don't try too hard to understand, and move on to geometry and calculus which is where you can have some fun.

Answer 4

Say y = -x. (For example, if x=2 then y=-2). Then

x + y =0. Add (-y) to both sides:
→ x + y + (-y) = -y
→ x + 0 = -y
→ x = -y
→ x = -(-x) because y = -x.

x = -(-x) is a way of saying "x is the additive inverse of (-x)" just like -x = -x is saying "-x is the additive inverse of x".

Answer 5

Look at it like this:

Say you have 2 loans for $100 each, so you are $200 in debt:
-$100 + -$100 = -$200

Then, one of the people forgives, or takes away, one debt. You are now only $100 in debt:
(-$200) - (-$100) = -$100
Which is the same as:
(-$200) + ($100) = -$100

Answer 6

Say y = -x. (For example, if x=2 then y=-2). Then

x + y =0. Add (-y) to both sides:
→ x + y + (-y) = -y
→ x + 0 = -y
→ x = -y
→ x = -(-x) because y = -x.

Answer 7

http://www.deccanherald.com/deccanherald/feb12007/dheducation161252007131.asp
this is an url where your doubts can be cleared, you can do much with google, but you have to surf, ok

Answer 8

only Aryabhat can answer that