### SUBTITLES:

Subtitles prepared by human

00:02

Hello friends here again on your channel
TESLA WORLD MATH
today we are going to see a topic called the LAW OF SIGNS in an easy way but
I want to clarify that this topic
is very important unfortunately in
many educational institutions pass it
very fast in class, this topic is
so important because it will affect
a lot in the subjects
later as equations also in
physics topics in
trigonometry so we're going to
develop in a way
well specific so you guys can
easily understand how to solve
this type of exercises so that more
Go ahead make no mistake
in these operations
addition or subtraction, let's start.
What they have to do is the following
when they have SAME SIGNS !!!
THEY HAVE TO ADD THE TERMS yes we have
DIFFERENT SIGNS WE SUBTRACTED !!
and the answer will always be the sign of the
greater number for example as we have

01:04

this expression that we are going to develop
here,
we will be practical and we will put
examples once
if we have minus 5 and we add
plus 3 let's say we have well
the first thing they have to do is the
sign of the largest number let's say
as here we have 5 and here we have 3
the largest number would be 5
the 5 has a negative sign so the
answer as it says here answer sign, the greater number
the answer will be the higher the number
going to be negative is the first thing they have to do
secondly always remember this rule
equal signs are added and signs
different are subtracted
here we see that 5 has a negative sign and 3
has a positive sign
remember that the sign is always to the left of the
number then as the signs are
different as you can see here we have
to subtract as it says here 5 minus 3 is 2

02:05

and that would be the answer.
Let's do another example let's say we have
let's say we have minus 2 minus 5
again we say the largest number
what sign does it have, what is 5 and does it have a sign
negative then the answer will
negative and now we remember our law
up here the law of signs, signs
the same are added and as we see here the 2
it has a negative sign and the 5 also
it also has a negative sign so how are they
the two equals have to add 5 plus 2 is seven
and that would be the answer.
one more example
if we have
+ 2 let's say minus 3
once again we say the largest number
which would be 3 has the negative sign
then the answer will be negative
and as they are different signs according to the law
of signs have to be subtracted 3 - 2 us

03:09

give 1 and that would be the answer. This is the
more practical way to develop
exercises with sign law
apparently this is simple but at
as this progresses it
complicates
and let's say it is not complicated but
we have to be more careful with
exercises let's say we can have this
way
minus 3 plus 5 minus 8
how would we solve this exercise
I recommend that you do it
in pairs
first we solve them two
and we apply what we have already learned the
largest number of these two would be the
5 and 5 have a positive sign
first we analyze the sign, the answer
is going to be positive and now the 5 has
positive sign, 3 has negative sign
as they are different signs we have to
subtracting them, 5 minus three gives us 2 and
now if it just drops 8, minus 8

04:12

and again we say
of them two
the largest number would be 8 and this 8
has a negative sign so the
answer would be negative and like 8
has a negative sign and he 2 has a sign
positive, different signs are subtracted, 8 minus 2 and
We would have 6 and that would be the answer.
Now we are going to use another example, well
here we will do another example let's say
that we have 3 plus 7 minus 10
minus 15
then again as I said does a
moment we do two by two
we solve them both and they two
remember the following, FIRST YOU HAVE
WHAT TO SEE THE SIGNS now ALL THE NUMBERS HAVE SIGN EXCEPT FOR 0
remember that, all the real numbers
have a sign and are on the left
when you don't see the sign i assume that
you already know but for those who don't know what

05:13

I always say when you don't see the
sign, YOU KNOW YOU ARE POSITIVE is here
up but normally it doesn't get but
when you don't see the sign, it's positive.
So having said that we say, the
bigger number of the two is 7 and it has
the positive sign that means that
the answer will be positive
and then we say remembering the law of signs,
equal numbers sorry numbers with
equal signs because they are both
positives have to be added 3 + 7 gives us
10
that's it now we grab both
again the largest number would be the
15 and has a negative sign then the
answer is going to be negative
and since they are equal signs by the law of signs
when you have two signed numbers
you have to add 10 + 15 gives us 25
we are solving step by step, now
we would have
plus 10 - 25 again we put the two together and
we see, the sign first the sign always

06:20

the larger number of the two is 25,
which sign has 25, negative then
we put negative
and finally remembering the law of signs we say
25 negative sign 10 has sign
positive different signs according to the law of signs
have to be subtracted, 25 minus 10
it gives us 15 and it would be solved
now let's do another example
for you to see that we make a
variety of problems here on your channel
math tesla world. Let's say
we have this which is already more different
look at minus 2,343 plus 1,132 let's say this is
a little bit different how you guys can
see
but the idea of it not only
works with small numbers too
with large numbers, of the amount of figures that you want, what we have
to see here first which is, as we said,
the sign that has the largest number
we have 1132 here for the
right and we have 2343 on the left

07:23

obviously this number
it is bigger
how can you tell and what is the number
bigger than sign it has, negative already
we know the answer will come out
negative now what are we going to do
since there are two numbers this has a sign
negative and he has a positive sign according to
the law of signs we have to subtract them then
we just do here let's say a
parentheses and we subtract as we know 2,343
minus 1,132 and we subtract as we have
taught 3 - 2 gives us 1.4 minus 3 gives us
1.3 minus 1 gives us 2 and 2 minus 1 gives us 1.
this is the answer but finally we say
but there is the answer but with the sign
negative that we had cleared up first
would be -1,211 that would be the answer for

08:27

this example
now we go with another example
well friends following the law of
signs now let's see how it works
the law of signs for multiplication and
division
is different, here as a general rule
we are putting what is the law of signs
when they have positive for positive we
positive, remember I'm putting
the point in between the parentheses for
to indicate that it is a product but
normally you don't get you guys always
that they see parentheses they already have to know
that this is a product is fine
then we come back, more for more or
positive sign for positive sign gives us
a positive sign
negative sign for another negative sign
it gives us positive as you can see here
you in these two if the signs are
the same, I clarify in the product, we are not
speaking of addition or subtraction, if the signs
the product is the same
answer is positive
never forget those equal signs in

09:31

product or division is the same let's say
for the signs they give us positive and if
multiply positive sign by sign
negative gives us negative again if
we multiply a negative sign by a
positive sign gives us negative,
What is the conclusion, DIFFERENT SIGNS IN PRODUCT OR DIVISION GIVES US NEGATIVE !!!!
in the order that they are plus x minus
or less for more gives us negative
once again I tell you equal signs in product or
division throws us a positive sign
different signs in multiplication and
division gives us negative sign let's
make an example, all by example here
on your channel. I take this opportunity to tell you that
DON'T FORGET TO SUBSCRIBE, GIVE US A LIKE TO KEEP GROWING,
SHARE IT ON YOUR SOCIAL NETWORKS
with his friends with his classmates
study. The first that
let's do what they have to do is
you MULTIPLY THE SIGNS and forget us

10:34

of the numbers for a moment
signs first always signs
first, we say negative sign by sign
negative gives us positive, once
you have operated the signs already
they forget the signs and just
operate 3 for 2 gives us 6
remember that this expression can come
also in this way
-3 parentheses -2, we do all
variations so you guys don't
have any questions on your exam
because according to the teacher it is that
they enunciate the exercise to you, you have
to know that it can be placed with a
point which means product like a
parenthesis or failing as it was done
formerly with the sign for, which was a
x small.
So in all three ways they have to
know the same
sign by sign remember that here is a
product whenever they see parentheses
is a product less for less again gives us
more and 3 times 2 gives us 6 and finally here

11:37

the same will come out true less for less
gives us more and 3 times 2 gives us 6, as I say
again depends on the teacher who
wherever they are because this works
for everyone
in the way of how you are going to express it
either with point with parentheses or as
the old way but it is valid with the
small x meaning by. We do another
example let's say we have
-4 by 3
how do we solve this like we said
formerly FIRST SIGNS
always remember that when a number
it has no sign is not that it has but
which is the positive that is known to be
there I didn't say we're not saying it
Suppose you know the sign is there,
then we follow the signs first
as we have learned less for more we
give less
and finally 4 x 3 gives us 12.
Ready another example, now of division
let's say we have
8

12:44

between -2
how would we do this, how would we do it too
with multiplication by the rule
applies to both multiplication and
division, first signs this 8 as
no sign apparently you know
which is positive, as I say I never know
puts but you know there is a sign,
the sign always goes to the left side
never forget the number, so we say
more the less the less it gives us and now if
8 between 2 gives us 4, in the division it can also
appear in this way 8 two points -2
it is also valid as well as the
multiplication in division also
there are several ways to express agreement
where you are or the
teacher 8 minus 2 one more time
we say the same the 8 has the sign
positive that you don't see more the less
gives us less and 8 between two gives us 4
and it can also be this way 8
over minus two this also indicates a

13:48

division the fraction line also
indicates a division we do the same the
8 has the positive sign here and
we say more the less gives us the less
by the law of signs and 8 between 2 gives us 4.Les
we are presenting here all the
ways you can file a
division and all the ways that you
can present a multiplication for
that you have no doubt.
Ready, now let's move on to another example.
For example let's say we have a
product of four numbers each each
who with their signs as you know and they
I repeat all the numbers have a sign except the zero which is neutral,
then the easiest way to do it
Let's say it is step by step, I will explain it
step by step but whoever can do it directly does it, no problem we grab
two by two and we say first the
signs as we have already said less for
less gives us more and 3 for 2
gives us 6, ready now here

14:53

- by the sign of 4 you already know what it is
positive but not seen - no matter how
gives less and 2 times 4 gives us 8,
we proceed here
again first the plus signs for less
gives us minus 6 times 8 gives us 48 and it would be the
answer and if you guys are a little bit
faster just say, so too
they can do it this way. signs first
of all the numbers and they say less for
less gives us more, that more for this less
gives us less and that less for this more we
give less
and finally it says 3 times 2 is 6, 6 times 2 is 12 and
12 times 4 gives us 48. As we found a moment ago
the same answer will come out the way you solve.

15:55

well now we continue with this exercise
it would already be a combined exercise
we have a product above, division and
product below, before I want to ask
all SUBSCRIBE, HELP GROW THIS NEW CHANNEL called Tesla World Math
where are we going to learn
everything physics math science
chemistry and after this problem we go
to do one more problem so they can see
where is the students wrong
because you can say no of course - 2
- 3 easy gives us less 5 is easy
of course it's easy I tell them but at the time
of the exam by changing certain things
students are wrong and that's what I
I am going to show you today where
are they going to go wrong or where you don't have to
make a mistake so they get graceful out of their
exam so stay until the end
of the video so they learn what they are
the tricks, what are the mistakes
that they should not commit,
now we will solve this exercise
-3 by -4 by 2 we are going to
solve them first to do it
step by step first the two of them,
and we say how we have already learned
first the minus signs for less gives us more,
3 x 4 gives us 12 ready for 2 says true

17:05

we are putting it the same and down I have not
done nothing we're still not going to leave
same to do step by step so that
nobody complicate me
again we say now we have two already
we have reduced exercise again
more for don't forget you don't see the sign
but you know there is a positive here
always remember that and we say more
for more it gives us more, 12 for 2 it gives us 24
and down as it would be again first
the minus signs for less gives us more
2 for 6 gives us 12 very well so far,
now we have a simple division another
first time the plus signs the more we
gives more 24 between 12 gives us 2 and this would be
the students answer
as I say this seems simple is

18:07

simple actually now let's see
let's say a more complicated exercise,
where is it that people make mistakes the students
well friends then now if it comes
good of this topic, the part let's say
most important of this topic as already
we have learned -3 minus 2
easy does not give us less 5
now let's look at a variation on this
expression so they see where it
many students make mistakes throughout
The years I've seen are wrong
always the same i hope you guys already
not after watching this video, let's say
we have three plus two this obviously
for many it's easy it gives us 5
we could also have
3 minus 2 this gives us 1
we can also have 2 minus 3 and
this gives us ..... and many people tell me that
this is minus 6
and I have to tell you is that this IS WRONG !!!!
because it's wrong obviously they have already

19:10

realized but a lot of people what he does
already says this, 2 minus 3 says more for less is less
and 2 for 3 gives us 6 and here is the error friends
here is the eye mistake with this
It will seem simple to you but it happens a lot in the exam so I tell you
WHILE YOU DON'T SEE BETWEEN THESE TWO NUMBERS OF MULTIPLICATION, ...
do not apply the multiplication sign law
don't do it here
you just have 2 minus 3 you have
to apply the law of but to teach you
to add or subtract, what do you want
say that
2 - 3 if you don't see here
multiplication or division DO NOT SEE A POINT, DO NOT SEE AN x, DO NOT SEE A PARENTHESIS
you just have to apply sum
or subtract what you say, the 2 has the sign
positive and the 3 has a negative sign the
bigger number that sign has
negative and as they are different signs
by signs they have to subtract 3 - 2

20:11

the amount of
times students are wrong about this
I will continue making variations less
2 minus 3
this is minus 5,
clarify -5 many people make this mistake
- 2 - 3 and they tell me 6 and this is also BAD !!!
multiply less by less
it gives me more and on top they clarify the more
and 2 times 3 is 6, BEWARE !!! also with this gentlemen
BEWARE !!!, I tell you again so you don't know
I forgot you while you don't see
between these two numbers a
multiplication one division one
parentheses or a point, this is sum or
subtraction is nothing else the only thing they have
what to do is see the sign of the number
greater in this case is 3 to be the
negative answer and see if they are signs
the same or are different signs, if they are
equal signs have to be added

21:12

3 plus 2 gives us 5
as you see is the answer
and if they were different signs they have to subtract it, no
make that mistake of multiplying or
divide when it is an addition or a subtraction
then friends by way of review 90
let's say a summary of everything we've
viewed
and keep that in mind for when you go to
reviewing 4 plus 6 gives us 10, equal signs are
have to add and the sign of the major plus 10 attentive !!
4 - 6, as I do not see that there is a
multiplication applied the addition and subtraction
the largest number has a sign
negative so the answer is
negative and as a different sign we have
that subtracting 6 minus 4 gives us 2
Now 6 minus 4.6 minus 4 as I don't see ATTENTION !!! with what I say, as I see no sign of
multiplication and division between them
two I just have to apply addition or subtraction

22:15

remember that 6 has a sign
positive here and we say the most number
big in this case is 6 has sign
positive then the answer is
positive and as they are different sign it
they have to subtract 6 minus 4 gives us 2
we are still here 6 by -4
here is different, ATTENTION !!! these two
look
this is a SUBTRACT and this is a PRODUCT
here's the difference, so here's how
we work as a product applied the
product sign law, he has a
positive sign you know and we apply more
x less gives us less, 6 times 4 gives us 24
ATTENTION with these answers one thing is to subtract or add and another thing is to multiply, if we have minus -6 by -4
again we have a product we apply
the product sign law minus per

23:19

less gives us more 6 times 4 gives us 24,
if we have minus 6 minus 4 ATTENTION !!!! here
NOT A PRODUCT you don't also no
product factor here simply
add or subtract then we apply the
sign law for addition and subtraction
The largest number who is 6 which sign has negative I put the negative
and since they are equal signs I have to add 6 plus 4 gives us 10 truth
and ending here we can say
also minus 6 minus 4 a which is equal
is a division we apply
sign law for the division minus between
less gives me more and 6 between 4, we leave 6 between
4 or you can also remove half and half
it gives us 3 more means, what I want
see what the VARIATION is I am working
only with 6 and with 4 look here what
throughout this exercise I work for

24:21

6 and with 4 in all variations of
your signs to SEE the answers
DIFFERENT that each operation provides so that they are not mistaken
so for final recommendation when
go solve an exercise like this
theme
what has to be first look here
look at the middle of the numbers if it's
that there is a multiplication factor or
division if there is that factor of
multiplication or division, just apply
the law of signs for addition or subtraction
all they have to do is see
who is the largest number and they put
your signs of the largest number and if
are different signs in this case we
we have to subtract 5 minus 3 equal to 2 and outside equal signs we have to add it
again the last example here to go now, DON'T FORGET TO SUBSCRIBE FRIENDS
LEAVE US HANDS UP to continue growing our Math World Tesla channel
share your social networks or facebook
on its pages everywhere where
can so that everyone can learn.
this case the first thing I have to see

25:22

is that as I see here that there is a sign of
multiplication I apply my MULTIPLICATION SIGNS LAW
here is less for
more gives us less 3 times 5 gives us 15 and that
would be everything. Well friends I think that with
all this that we have developed remains
of course THE LAW OF SIGNS for all of you
if they are not going to make a mistake
constantly review these exercises at home so they have it
very clear and these are not going to be wrong
exams thank you very much and see you soon

Watch, read, educate! © 2021