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Author: Subject: simple maths question
02GF74

posted on 7/10/08 at 04:23 PM Reply With Quote
simple maths question

Why does a negative number multiplied by another negative number give a positive number?

Anyone know, other than we were told this by our teachers, but why is it so?






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mookaloid

posted on 7/10/08 at 04:27 PM Reply With Quote
it's the law





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mikeb

posted on 7/10/08 at 04:28 PM Reply With Quote
Imagine the number line. Suppose on the left it starts -6, -5, -4, -3, -2, -1, 0, +1, +2, +3, etc.

Let's calculate 2 x (-3).

The expression -3 says starting at zero, go left 3 steps. The expression 2 x means do it twice.

Where do you finish? -6

If you see why you finish on the left side, you have your answer.

What about minus x minus. Let's calculate (-2) x (-3).

Again -3 says starting at zero go left 3 steps. The expression -2 x means, no, go the other way instead -- twice.

Where do you finish? +6. Minus x minus = plus.

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Paul TigerB6

posted on 7/10/08 at 04:28 PM Reply With Quote
It just is ok!!!!
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mikeb

posted on 7/10/08 at 04:29 PM Reply With Quote
still think its a crud answer
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mikeb

posted on 7/10/08 at 04:31 PM Reply With Quote
http://hartvig.com/2006/8/21/simple_math_minus_multiplied_minus_equals_plus.aspx

Right time to go home...

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liam.mccaffrey

posted on 7/10/08 at 04:36 PM Reply With Quote
if you say -6 x -4 and you think of it as having
-6 groups of -4.

thats -(-4) -(-4) -(-4) -(-4) -(-4) -(-4)
then if you say double negative is positive for each of the pairs of - signs then you have
+4+4+4+4+4+4=24

[Edited on 7/10/08 by liam.mccaffrey]





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omega0684

posted on 7/10/08 at 04:37 PM Reply With Quote
mathematical law, (-) x (-) = (+)

god i love WIKI answers

minus times a minus equals a plus linky

it has to be the most un-mathematical answer ever!

[Edited on 7/10/08 by omega0684]

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coozer

posted on 7/10/08 at 04:42 PM Reply With Quote
So if I go into the garage and say.. I've got -3 engines over there and I'm sure theres another -2 somewhere when I come back will there be 6? but how do I do the X thing practically to make 6 engines happen?





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BenB

posted on 7/10/08 at 04:51 PM Reply With Quote
For the same reason that a negative balance is an overdraught and a negative overdraught is a positive balance.

A lack of a lack is a positive balance.

That's not maths, just logic.

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liam.mccaffrey

posted on 7/10/08 at 04:54 PM Reply With Quote
@ coozer

if you owed someone 3 engines you would have -3 engines. so if you then owed someone 3 engines minus 2 times, then you would indeed find yourself owed 6 engines





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clairetoo

posted on 7/10/08 at 05:05 PM Reply With Quote
So..........if I have -£100 in the bank , and spend -£100 twice , I will then have +£100
I think I need to go and have a word with my bank manager





Its cuz I is blond , innit

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eznfrank

posted on 7/10/08 at 05:50 PM Reply With Quote
If you think that's a bit of a mystery you should try a bit of Ethiopian Shamen multiplication.

Pick two numbers which would be difficult to multiply in your head. Works with any number.

Eg 21 x 31. Put one number in the left column and one in the right. In the left column half the number and write the new number underneath. Forget 1/2's they don't exist (eg half of 17 would be 8, because 8.5 doesn't exist??) and keep doing this till you get to 1.

In the right hand side column keep doubling the number and writing it underneath so you have as many rows as you do for the first number.

Then, in the left column cross out any even numbers on account of them being "evil" and cross out their corresponding number in the right column.

Then add up everything in the right column that hasn't been crossed out and you have your answer.

Eg.
21 x 31

10..........62 - discard this line as it's evil
5............124
2............248 - discard this line as it's evil
1............496

So you add, 31, 124 and 496 = 651 which is 21 x 31.

Weird eh!!!

[Edited on 7/10/08 by eznfrank]

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mr henderson

posted on 7/10/08 at 05:55 PM Reply With Quote
quote:
Originally posted by liam.mccaffrey
@ coozer

if you owed someone 3 engines you would have -3 engines. so if you then owed someone 3 engines minus 2 times, then you would indeed find yourself owed 6 engines


I think that's the best answer so far

John






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liam.mccaffrey

posted on 7/10/08 at 06:01 PM Reply With Quote
quote:
Originally posted by clairetoo
So..........if I have -£100 in the bank , and spend -£100 twice , I will then have +£100
I think I need to go and have a word with my bank manager


Claire you are exactly right, if you spent -£100 twice your bank balance would increase by £200





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adithorp

posted on 7/10/08 at 06:24 PM Reply With Quote
quote:
Originally posted by liam.mccaffrey
quote:
Originally posted by clairetoo
So..........if I have -£100 in the bank , and spend -£100 twice , I will then have +£100
I think I need to go and have a word with my bank manager


Claire you are exactly right, if you spent -£100 twice your bank balance would increase by £200


Because we refer to spending -£100 as selling something for £100.

adrian





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blakep82

posted on 7/10/08 at 06:27 PM Reply With Quote
double negative = postive no means yes and all that...





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24vseven

posted on 7/10/08 at 07:13 PM Reply With Quote
so here you go
if 2 to the power 2 (2x2) is 4
2 to the power 3 (2x2x2) is 8
whats 2 to the power 0

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liam.mccaffrey

posted on 7/10/08 at 07:17 PM Reply With Quote
anything to the power of 0 is 1





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24vseven

posted on 7/10/08 at 07:21 PM Reply With Quote
quote:
Originally posted by liam.mccaffrey
anything to the power of 0 is 1


again why

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blakep82

posted on 7/10/08 at 07:24 PM Reply With Quote
^^

quote:
Originally posted by mookaloid
it's the law






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Alan B

posted on 7/10/08 at 07:56 PM Reply With Quote
quote:
Originally posted by 24vseven
quote:
Originally posted by liam.mccaffrey
anything to the power of 0 is 1


again why


X^2 x X^2 = X^4 (exponents added)

X^2 /X^2 = 1

Following the first example 2+2=4
So, 2-2=0

Therefore X^0 = 1

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24vseven

posted on 7/10/08 at 08:38 PM Reply With Quote
quote:
Originally posted by Alan B
quote:
Originally posted by 24vseven
quote:
Originally posted by liam.mccaffrey
anything to the power of 0 is 1


again why


X^2 x X^2 = X^4 (exponents added)

X^2 /X^2 = 1

Following the first example 2+2=4
So, 2-2=0

Therefore X^0 = 1


ok just checking lol

so therefor what is -4 to the power 0.5

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liam.mccaffrey

posted on 7/10/08 at 09:08 PM Reply With Quote
i can see where this is going

(-4)^0.5=sqrt(-4)=sqrt(4) x sqrt(-1)=2i





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24vseven

posted on 7/10/08 at 09:10 PM Reply With Quote
and to finish

i=?

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