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## 7th grade (Illustrative Mathematics)

### Course: 7th grade (Illustrative Mathematics) > Unit 5

Lesson 3: Lesson 3: Changing elevation# Number equations & number lines

Integer equations to describe diagram.

## Want to join the conversation?

- why do you put ( ) on a negative number(13 votes)
- it helps you know wether or not it is a negative number.(14 votes)

- I mathematically hate math(10 votes)
- The awnser is to like it more(3 votes)

- do you add on the number to the actual number(4 votes)
- hi everyone that can see my message(4 votes)
- Actually I know how The physical works On This Math question.

Look You Add A 4+ And Then 6- So 4+6=10

But If You Add 4+-6=-2 so the full question is just reverse. WOW SO EASY And Integer equations to describe diagram.(2 votes) - the answer is star wars!(2 votes)
- Ok so why -3 + -3 = -6. Cant we just do -3 - 3 = -6(2 votes)
- They are just different ways to represent the same thing.(1 vote)

- if we wanted too how do add integers on a number line?(2 votes)
- why do you put ( ) on a negative number(1 vote)
- so that you don't think its not plus (+) minus(-) like this(+-) you go(+(-))(2 votes)

## Video transcript

- [Voiceover] We're told
to fill in the blanks to complete the equation
that describes the diagram. So let's think about
what's going on over here. If we start at zero, and we
move one, two, three, four spaces to the right of zero,
this arrow right over here represents positive four. We already see that right
over here in the equation. Then from positive four,
from the tip of this arrow, we then go one, two,
three, four, five, six spaces to the left. So what we just did here is we just added a negative six to the positive four. Positive four plus negative six. Where does that put us? Well we see it puts us one, two spaces to the left of zero and
each of these spaces in this diagram are one. So two spaces to the left of zero is going to be negative two. This is fun. Let's keep
doing more examples. Write an addition equation
or a subtraction equation, your choice, so they're
giving us some choice, to describe the diagram. Alright, let's see what's going on here. We're starting at zero
and we're going one, two, three, four to the left. So if we're going four to the left or so we can say negative four, -4. And then we're going
to go another one, two, three, four, five, six, seven,
eight, nine to the left. So we could write this as
negative four minus nine is equal to. And when you go four to the left and then you go another nine to the left, you end up 13 to the left of
zero which is negative 13. Equals negative 13. So this way I've written it
as a subtraction equation I guess you could say. Negative four minus nine,
is equal to negative 13. Now another way I could have done it, I could have said negative
four plus negative nine is equal to negative thirteen as well. Either of those would
have been legitimate. Now I've written it as
an addition equation. Let's keep going. Fill in the blanks to
complete the equation that describes the diagram. So we're starting at zero, we go three to the left of zero,
that's negative three. Then we go another three
to the left of that. So we're going to add
another negative three. We're going to add another negative three and that puts us six to the left of zero. Well six to the left of
zero is negative six. And we're done.