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Course: 7th grade (Eureka Math/EngageNY) > Unit 2
Lesson 1: Topic A: Addition and subtraction of integers and rational numbers- Zero pairs worked example
- Zero pairs
- Adding with integer chips
- Add with integer chips
- Adding negative numbers on the number line
- Adding negative numbers on the number line
- Adding negative numbers example
- Signs of sums on a number line
- Signs of sums
- Adding negative numbers
- Subtracting with integer chips
- Subtract with integer chips
- Adding the opposite with integer chips
- Adding the opposite with number lines
- Adding & subtracting negative numbers
- Subtracting a negative = adding a positive
- Understand subtraction as adding the opposite
- Subtracting negative numbers
- Adding & subtracting negative numbers
- Adding negative numbers review
- Equivalent expressions with negative numbers
- Subtracting negative numbers review
- Number equations & number lines
- Number equations & number lines
- Graphing negative number addition and subtraction expressions
- Interpret negative number addition and subtraction expressions
- Interpreting numeric expressions example
- Absolute value to find distance
- Absolute value as distance between numbers
- Interpreting absolute value as distance
- Absolute value to find distance challenge
- Associative and commutative properties of addition with negatives
- Commutative and associative properties of addition with integers
- Equivalent expressions with negative numbers
- Adding fractions with different signs
- Adding and subtracting fractions with negatives
- Comparing rational numbers
- Adding & subtracting negative fractions
- Adding & subtracting rational numbers: 79% - 79.1 - 58 1/10
- Order rational numbers
- Adding & subtracting rational numbers: 0.79 - 4/3 - 1/2 + 150%
- Adding & subtracting rational numbers
- One-step equations with negatives (add & subtract)
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Zero pairs worked example
When we have a positive unit and a negative unit, they add up to zero. We call that a zero pair. Let's use integer chips to represent the number -2, but not just with 2 negative chips. This will open the door for us to add and subtract with negative numbers. Created by Sal Khan.
Want to join the conversation?
- What I do?
confusin.(12 votes)- Same, all I did was count the positive signs first the negatives, then I grouped them together and all I had left was 2 of the negative signs(6 votes)
- why would they add new content? i literrally have to redo everything.(9 votes)
- umm you don't...(3 votes)
- So would the two left over like the negative two left over would that be the units left over or would the units left over just be zero?(2 votes)
- no it will not become zero because in1:44he keeps the reminder
listen to ::1:44(2 votes)
- Is there another video i still dont understand(2 votes)
- Hi Jiji! I don’t think there is another video, but I would be happy to explain this video to you! So I don’t get why Sal has to incorporate the chips in the video I feel it makes this confusing, but, essentially, he is basically adding -7+5. I got this by counting how many - chips (circles with - symbol on them) and there were and + chips (circles with + symbol on them) and I got 5 + chips and 7 - chips, with is equal to -7+5. Let’s say there are 5 cupcakes and 7 customers. Each customer wants 1 cupcake each. But, you only have 5 cupcakes, so you have to calculate how many customers won’t get one. Since there are 5 cupcakes and 7 people 2 people won’t get a cupcake, which you can figure out by doing the equation 7 people - 5 cupcakes. I hope this helps and happy learning!(1 vote)
- I can't replay the video(2 votes)
- 1+(-1) makes me a lot confused but -1+1 makes sense to me. I think you all would make sense with -1+1, right?(1 vote)
- I need help like rn rn i am gonna get a zero help(1 vote)
- what do i do here(1 vote)
- Hi, if you have 20 and -15 you would have?(1 vote)
- Does the + on top of - count as zero pairs?(1 vote)
Video transcript
- [Instructor] We're
told, "This is the key for the integer chips." So this yellow circle with
a plus is equal to one. This, I guess, pinkish
circle, peach circle, with a minus, that is
equal to negative one. "Consider the following image." And so, there we have a bunch of the positive yellow circles, and then we have even more of the pink, or peach-looking negative circles. "Complete the description of the image. There are blank zero pairs
and blank units left over." If you're actually doing this exercise, this is a screenshot from the exercise, you would fill in something here, and there's a dropdown over here. So the first question you might ask is, "What is a zero pair?" So a zero pair is when you
take two opposite numbers, and they essentially, when you add them, they cancel out to get to zero. An example of that would
be one plus negative one. These two numbers are opposites,
so they are a zero pair, because when you add them
together, you get zero. Why does that make sense? Well, imagine if positive
values were walking forward, and negative values
were walking backwards. So you could view this as one step forward plus one step backward. That's just going to get you
back to where you were before. You could have other zero pairs. You could have things like
positive two plus negative two. That's also a zero pair. You walk two steps forward
and then two steps backward. That's just going to get you
back to where you were before. You will not have moved after all, or you'd be back to where you were before. So let's think about how many zero pairs there are over here. Well, we know that each of
the ones forms a zero pair with each of the negative ones. So that's one zero pair, two, three, four, five zero pairs. So I'll just write a five right over here. You would type that in
if you were doing this. And then how many units are left over? Well, you could see right over here, we see that we have two of the
negative one units left over.