Add and subtract: pieces of fruit
Sal adds fruit and subtracts fruit. The examples he uses are 5+3 and 5-3. Created by Sal Khan.
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- When you get to large numbers such as trillion and quadrillion... are there any real world applications for such large numbers? Is there a quadrillion or quintillion of anything in the universe?(22 votes)
- For example, the mass of the Earth is about 6 million times as large as a quintillion kilograms (that is, the mass is 6,000,000,000,000,000,000,000,000 kilograms).
Another example: the number of molecules in an average drop of water (0.05 millilters) is more than 1,600 quintillion (that is, more than 1,600,000,000,000,000,000,000 molecules).(23 votes)
- Are there more cherries or more blueberries?(0 votes)
- There are
5blueberries, which is more than the
3cherries. In fact, in the video he subtracts
5 - 3to show what happens if you start with
5blueberries and then eat
3. But you can also use
5 - 3 = 2to find how many more blueberries there are than cherries. He has
2more blueberries than cherries.(3 votes)
- I just realized that whenever 5 is first, if you both add and subtract the same number from 5, the two results will always add up to 10. For example
5+1 = 6
5-1 = 4 => 6+4 = 10
Even with numbers larger than 5
5+7 = 12
5-7 = -2
12 + (-2) = 12-2 = 10
And it will go on, 13-3, 14-4, 15-5, you see the pattern? The last digit is always the same.
Does this thing have a name?
Oh wait, how could I be so stupid, it is simple math, if (5+1)+(5-1)=
5+1+5-1=5+5=10. Duh, 1 and -1 neutralize each other.
Anyway, does this have a name?(2 votes)
- I don't think it has a name. You are basically adding the same number, because you cancel out the other number. So it always will end with an addition of 2 equal numbers: 2+2, 4+4, 7+7, 12+12, etc...(1 vote)
- If there was 1 hundred pieces of fruit, and you wanted to put them into 20 bags evenly, what would I do?(1 vote)
- You'd put five fruits into each bag. That is, unless you are including the difference of mass in each fruit; in that case I couldn't help you....(1 vote)
- So what happened if it is 2-3, how would you demonstrate using the above example?(1 vote)
- So, I'm going on a stretch here, hoping that you understand the idea of owing someone something.
Imagine that I come to your fruit shop, and pay money for 3 apples. But it's kind of late in the day, and the shopkeeper (you) only have 2 apples left. I say, "That's okay! Just give it to me when you get another apple!"
So then, you owe me an apple. Whenever you get another stock of apples, you will have one less, because you owe it to me.
In mathematical terms, I would represent it like this:
2 - 3 = -1
= 2 - 2 - 1
= 0 - 1
🍎🍎 - 🍎🍎🍎 = -🍎
For the ideal KA explanation, check out Sal's explanation:
- What happens if you repeat addition?(0 votes)
- In higher mathematics, you learn about *multiplication,which I also known as repeated addition*.
For example, you can do 3*2.
3*2 = 3+3
3*2 = 2+2+2
Either way you do this, you end up with the same answer: 6 (because 2+2+2 = 6 and 3+3 = 6.) Therefore, 3*2 = 6.
I hope this helped you to understand repeated addition!(2 votes)
Voiceover:We have one, two, three, four, five blueberries here, so we have five blueberries, and we have one, two, three cherries, three cherries. Now, if I wanted to figure out the total number of fruit that I have here, I could say the total number of pieces of fruit, what should I do? Should I add five plus three? So, should I add five plus three, or should I subtract? Should I do five minus three, to get the total number of fruit that I have? I encourage you to pause the video now, and try to think about it on your own. If I want the total number of fruit, I'm starting with five blueberries, and now I have three more. I'm going to add three. I'm going to get a larger number of fruit. I start with five; I'm going to have three more, so I am going to add three, and so, how many blueberries do I have? What's five plus three? It's one, two, three, four, five, six, seven, eight pieces of fruit. Eight pieces of fruit. Now, what would five minus three have meant? What would five minus three, five minus three, what would that mean? You can imagine starting off with five pieces of fruit, let me copy and paste that, copy and paste that, so, if you start with five pieces of fruit, and now if you're subtracting three, this means taking away three of your fruit, so take away one, take away two, and take away three, so how many are you left with? You're just left with these, one, two, right over here, so five minus three is two. If someone says, "Hey, I have five blueberries, "and then I have three more cherries, "how many pieces of fruit?" well, now I'm going to be adding. If someone says, "I have five blueberries, "and then I ate three of them, "how many do I have left?" well, then you have two left.