Question

help! :)

Answer 1

@Michele_Laino

Answer 2

@calculusxy

Answer 3

With what?

Answer 4

can you explain what opposites are and give examples of real world situations? :)

Answer 5

@Michele_Laino just explain it in your own words :)

Answer 6

for example -5 and +5 are opposite with respect to addition, since we have:
-5+(+5)=0, and 0 is the neutral element of addition of the set of integers

Answer 7

ok thats the example?

Answer 8

yes it is an example which comes from mathematics

Answer 9

ok and can you explain what opposites are

Answer 10

here is another example from physics:
north pole and south pole are opposite, since between them there is an attractive force

Answer 11

I meant norh pole and south pole of a magnet

Answer 12

ok i get the examples, but can you explain what opposites are not in an example please :)

Answer 13

referring to the quantum electrodynamics processes, I can say that opposites element are such that when they are both presents, they disappear and a new form of energy will appears

Answer 14

such process is called annihilation

Answer 15

ok next question! :)

Answer 16

can you describe multiplying and dividing signed numbers in the real world?

Answer 17

yes, I know an example from physics, nevertheless it is difficult to understand.

Answer 18

but describe it in your own words please

Answer 19

it is related to a solid state physics of semiconductors.
When we study semiconductors, we have to introduce the so called effective mass of a carrier of electricity, and such effective mass is negative. Of course such effective mass can be multiplied for a positive quantity in order to get another quantity

Answer 20

another simpler example comes from the Coulomb law, which is related to the interaction between a positive charge and a negative charge, for example. So in order to get the magnitude of the interaction force between a positive and a negative electric charges, I have to multiply a negative quantity with a positive quantity, using the subsequent algebrauc expression:
\[\Large F = K\frac{{{Q_1}{Q_2}}}{{{r^2}}}\]
where Q1>0, Q2<0, r>0 and K>0

Answer 21

this is all so confusing!