๐งต Understanding Division
Anonymous at Wed, 6 Nov 2024 14:27:25 UTC No. 16464947
I was taught that dividing a number means splitting it into equal groups but I don't understand how this works if the divisor is less than 1.
For instance if you want to divide 40 pizzas into 1 bag then 40 pizzas will get into 1 bag. If you want to divide 40 pizzas into 2 bags then 20 pizzas will go into each bag.
But if you want to divide 40 pizzas into 0.8 of a bag then fewer than 40 pizzas would fit into 0.8 of a bag. But the answer to 40/0.8 = 50.
I don't understand how 50 pizzas would go into 0.8 of a bag when a 1 bag would only take 40 pizzas.
Please help
Anonymous at Wed, 6 Nov 2024 15:16:08 UTC No. 16464983
>>16464947
Try multiplying by 1 (or 10/10 in this case).
>>>/sqt/
Anonymous at Wed, 6 Nov 2024 15:17:32 UTC No. 16464985
>>16464983
This doesn't answer anything
Anonymous at Wed, 6 Nov 2024 15:18:56 UTC No. 16464988
Under 1 included 0 and you can't rationally divide by 0. Academia might teach you different, but that's because it's a profiteering scam.
Anonymous at Wed, 6 Nov 2024 15:21:06 UTC No. 16464993
>>16464988
But you can divide
40/0.8 = 50
Anonymous at Wed, 6 Nov 2024 15:41:10 UTC No. 16465011
>>16464985
40/0.8 = (40/0.8)*(10/10)
= 400/8
You said you can take it from there.
>>>/sqt/
Anonymous at Wed, 6 Nov 2024 15:43:12 UTC No. 16465012
>>16465011
>40/0.8)*(10/10)
>= 400/8
I don't get this and it doesn't explain my question about splitting into groups.
Anonymous at Wed, 6 Nov 2024 15:45:29 UTC No. 16465015
It means that, proportionally speaking, if you had 1 full bag it would contain 50 pizzas.
Anonymous at Wed, 6 Nov 2024 15:46:06 UTC No. 16465018
>>16465012
It literally does. Stop larping as a moron.
>>>/sqt/
Anonymous at Wed, 6 Nov 2024 15:50:49 UTC No. 16465025
>>16465015
Can you explain what you mean? I'm trying to visualise 40 pizzas going into 0.8 of a bag and getting 50 pizzas and I just can't visualise this?
>>16465018
>Stop larping as a moron.
Why are you being rude? I'm asking for help, you don't have to answer.
>(40/0.8)*(10/10)
but this simplifies down to
(40/0.8) x (1)
So I don't get what this does?
Anonymous at Wed, 6 Nov 2024 16:40:45 UTC No. 16465077
>>16465025
In your example you have 40 pizzas in 0.8 bags, to find out how many are in 1 you need an additional 0.2 bags which woud fit 10 pizzas with that pizza density so a full bag would have 50.
Anonymous at Wed, 6 Nov 2024 16:43:33 UTC No. 16465081
>>16465077
Okay I see what you're saying conceptuall.
But in terms of visualisation, you can't divide a dividend by a decimal?
Anonymous at Wed, 6 Nov 2024 16:50:15 UTC No. 16465087
Retards.
0.anything is inclusive of 0 and you cannot divide by zero.
Anonymous at Wed, 6 Nov 2024 16:54:31 UTC No. 16465090
>>16465087
it's 0.8 in this example
Anonymous at Wed, 6 Nov 2024 16:55:40 UTC No. 16465095
>>16465090
Which is 0 contaminated fag
0 exists at the end of number relentlessly trying to annihilate it.
Anonymous at Wed, 6 Nov 2024 16:56:42 UTC No. 16465096
>>16465095
>0 exists at the end of number relentlessly trying to annihilate it.
what does this mean?
Anonymous at Wed, 6 Nov 2024 16:59:30 UTC No. 16465099
>>16465081
I can, you apparently can't.
Anonymous at Wed, 6 Nov 2024 16:59:34 UTC No. 16465100
You have been provided with multiple correct descriptions by multiple people. If you are still unable to visualize the situation then it is a mental deficiency all your own.
This is why your parents and teachers have lost patience with you.
Anonymous at Wed, 6 Nov 2024 17:01:07 UTC No. 16465102
>>16465099
How do you visualise it?
>>16465100
Thanks
Anonymous at Wed, 6 Nov 2024 17:15:54 UTC No. 16465109
>>16464947
Maybe its more: how many times does one go into the other
5 goes into 15, 3 times
3 times 5 is 15
(5) occurring 3 times
10 goes into 20, 2 times
(10) twice: 10 occurring 2 times, is 20
.8 goes into 40, 50 times.
Anonymous at Wed, 6 Nov 2024 17:17:19 UTC No. 16465110
>>16465102
>>16465109
See why they call it times then,
5 times 3 is 15
Five, 3 times, is 15
Anonymous at Wed, 6 Nov 2024 17:41:00 UTC No. 16465142
This thread is just retarded y'all. You can't divide by something 0 contaminated. It false.
Anonymous at Wed, 6 Nov 2024 17:53:32 UTC No. 16465163
I'm just trying to divide by a decimal but I guess I'm not allowed
Anonymous at Wed, 6 Nov 2024 17:53:49 UTC No. 16465165
>>16465142
How many times do you have to give me 80 cents until you have given me $40
Anonymous at Wed, 6 Nov 2024 17:56:20 UTC No. 16465171
>>16465165
It's not that.
Anonymous at Wed, 6 Nov 2024 18:02:43 UTC No. 16465175
>>16465171
80 cents goes into 40$ 50 times
40$ is composed of 50 (.80's)
Divide 40$ into equal .80 (80 cents) compartments, you will have made 50 compartments with .80 in each one.
Anonymous at Wed, 6 Nov 2024 18:04:42 UTC No. 16465178
>>16465175
You're retarded bro don't EVER respond to me seriously again
Anonymous at Wed, 6 Nov 2024 18:48:22 UTC No. 16465218
40 is what you have and could fit in 0.8 bags, or 80% of a bag. Dividing by 0.8 will give you 50, the result that you could fit in one bag.
Anonymous at Wed, 6 Nov 2024 18:54:45 UTC No. 16465222
>>16465218
50 of 40? You must be a troll.
Anonymous at Wed, 6 Nov 2024 19:28:46 UTC No. 16465268
>>16465222
>You must be a troll.
Obviously. Stop feeding it.
Anonymous at Wed, 6 Nov 2024 19:31:54 UTC No. 16465276
>>16465222
You're both a troll and a retard.
Anonymous at Wed, 6 Nov 2024 20:20:08 UTC No. 16465318
You'd need 50 of those 0.8 sized bags to put all your 40 pizzas lil nigga.
Stop guessing start learning at Wed, 6 Nov 2024 20:31:18 UTC No. 16465330
>>16464988
You idiot. Math is similar to language it's contextual.
You can't have .8 of a bag
But you can have
.8 pounds
.8 liters
.8 grams
You can divide all the way to the size of an atom.
Atom the term means uncutable in previous languages
Anonymous at Wed, 6 Nov 2024 21:09:30 UTC No. 16465365
>>16465109
>.8 goes into 40, 50 times.
I get that but I've been taught to view division as splitting the number down rather than counting how many times the smaller number goes into the larger number.
Anonymous at Wed, 6 Nov 2024 21:57:40 UTC No. 16465384
>>16465365
Division is simply just the inverse operation of multiplication. If you divide pizza by bag, then you get the pizzas per bag unit. Multiple things can be described with this unit.
When you divide 40 bags by 0.8 pizzas, you don't end up with 50 pizzas. You end up with 50 pizzas per bag (50 p/b or 50 pb^-1). It describes the pizza density and not the actual amount of pizza you have.
Anonymous at Wed, 6 Nov 2024 22:05:15 UTC No. 16465389
>>16464947
> But if you want to divide 40 pizzas into 0.8 of a bag then fewer than 40 pizzas would fit into 0.8 of a bag. But the answer to 40/0.8 = 50.
I don't understand how 50 pizzas would go into 0.8 of a bag when a 1 bag would only take 40 pizzas.
I forgot to mention this, but you are doing this operation incorrectly. Sharing is using division as usual. What went wrong here is you doing sharing as usual when describing the capacity of a bag, which doesn't make sense.
The capacity of a bag can be described as pizzas per bag. If you want to get rid of the "per bag", then you have to multiply by bags to cancel out the "per bag".
So you have 0.8 bags, and bags have a capacity of 40 pizzas per bag. To get the amount of pizzas you can store, you multiply by your bags, which is 0.8 bags. 0.8 bags * 40 pizzas per bag = 32 pizzas.
Anonymous at Wed, 6 Nov 2024 22:08:30 UTC No. 16465392
>>16465384
>>16465389
What?
I'm asking to share 40 pizzas into 0.8 bags. Which is apparently 50 pizzas. I mean if you share out 40 pizzas into 1 bag you get 40 pizzas in that 1 bag. If you share out 40 pizzas in 2 bags then you get 20 pizzas each in those 2 bags.
Anonymous at Wed, 6 Nov 2024 22:09:35 UTC No. 16465393
>>16465365
>counting how many times the smaller number goes into the larger number
So why aren't you doing that?
Anonymous at Wed, 6 Nov 2024 22:12:18 UTC No. 16465396
>>16465393
Because when I share out 40 pizzas into 2 bags, I don't ask myself "How many 2-bags go into 40 pizzas?"
Anonymous at Wed, 6 Nov 2024 22:15:10 UTC No. 16465398
>>16465396
So what do you do?
Anonymous at Wed, 6 Nov 2024 22:19:49 UTC No. 16465402
>>16465398
I ask how many of the 40 pizzas would fit equally into the 2 bags when shared out?
Anonymous at Wed, 6 Nov 2024 22:25:25 UTC No. 16465407
>>16465402
>I've been taught to view division as splitting the number down
Why not just do it the way you were taught?
Anonymous at Wed, 6 Nov 2024 22:31:11 UTC No. 16465414
>>16465407
That's what I'm asking. How do I split 40 into 0.8 or any number less than 1?
Anonymous at Wed, 6 Nov 2024 22:33:35 UTC No. 16465416
>>16465392
What are you confused about though? It's also worth noting that you don't get 50 pizzas. You get 50 pizzas per bag, which is a different concept to just 50 pizzas.
Anonymous at Wed, 6 Nov 2024 22:34:47 UTC No. 16465418
>>16465414
Do it exactly the way you were taught. Don't be afraid. Decimal numbers can't hurt you. Give it a try. Show your work.
What's the first step?
Anonymous at Wed, 6 Nov 2024 22:36:06 UTC No. 16465419
>>16465416
I'm asking how I would visualise splitting 40 into 0.8?
I can easily visualise how to split 40 in 1. I just imagine 40 objects going into 1 group. I can easily visualisae how to split 40 into 2. I just imagine 40 objects going into 2 groups.
How do I visualise 40 objects going into 0.8 groups and end up with 50 objects?
>>16465418
See above.
Anonymous at Wed, 6 Nov 2024 22:38:24 UTC No. 16465420
>>16465419
Well how are you visualising 0.8 bags?
Anonymous at Wed, 6 Nov 2024 22:40:02 UTC No. 16465421
>>16465420
Well I can't. That's the problem
Anonymous at Wed, 6 Nov 2024 22:40:08 UTC No. 16465422
>>16465419
No, you're being a disingenuous ass.
Try it yourself and see how it works. Only way you will ever learn.
You know the correct method.
>>I've been taught to view division as splitting the number down
Just do it. You'll see.
Anonymous at Wed, 6 Nov 2024 22:42:52 UTC No. 16465425
>>16465422
>Just split 40 into 0.8
thanks for being so helpful
Anonymous at Wed, 6 Nov 2024 22:43:37 UTC No. 16465427
>>16465407
Kek. Got 'em!
Anonymous at Wed, 6 Nov 2024 22:46:54 UTC No. 16465432
>>16465425
Yes, exactly like you were taught.
>I've been taught to view division as splitting the number down
Start with 40.
Step 1: Remove 0.8, you are left with 39.2.
Now keep going.
We know you can (won't) do it, you disingenuous little bitch.
Anonymous at Wed, 6 Nov 2024 22:47:51 UTC No. 16465433
>>16465432
>Remove 0.8, you are left with 39.2.
That's not what I mean by splitting since that would be subtracting.
I'm talking about splitting as sharing. How do you share 40 into 0.8?
Anonymous at Wed, 6 Nov 2024 22:48:42 UTC No. 16465435
>>16465433
Liar, you got caught.
Anonymous at Wed, 6 Nov 2024 22:49:53 UTC No. 16465438
>>16465435
I said it here before >>16465392
Anonymous at Wed, 6 Nov 2024 22:50:50 UTC No. 16465439
>>16465438
You are welcome. Anytime.
Anonymous at Wed, 6 Nov 2024 22:56:28 UTC No. 16465442
>>16465439
Not helpful
Anonymous at Wed, 6 Nov 2024 23:30:31 UTC No. 16465467
>>16465421
Well then why are you trying to imagine a logically impossible scenario to understand division. It's clear bags are an integer, they're not continuous, so the problem breaks when you're trying to treat it as continuous when it's just discrete.
Lets imagine a scenario where we have a continuous quantity for our divisor. This will be the heat capacity. Heat capacity is a unit that describes how much thermal energy something has based on its temperature. It can be described as the amount of thermal energy required to heat that thing by a given unit. Think of it like heating a glass of water versus heating an entire bathtub of water. We will use the joule for our unit of energy and Kelvin for our unit of temperature. The heat capacity will then have the unit joules per Kelvin.
Alright so lets have 2,000 joules of energy. Lets fit that into something that has a heat capacity of 1,000 joules per Kelvin. What we want is to find the temperature of that thing. This means we want our answer to have the unit in Kelvin. To do this, we have 2,000 Joules, then we divide by the heat capacity, 1,000 Joules per Kelvin. 2,000 J / (1,000 J/K). 2,000/1,000 is 2. The (J/K) is in the divisor so it's the same as multiplying by K/J. 2 J * K / J simplifies to 2 K. 2 Kelvin.
If we halve the heat capacity by halving the amount of substance we're applying heat to, then we're fitting the same amount of energy to half the substance, so that temperature doubles.
Anonymous at Wed, 6 Nov 2024 23:51:01 UTC No. 16465480
>I don't understand how 50 pizzas would go into 0.8 of a bag
It's not 50 pizzas going into 0.8 bags, it's 40 pizzas going into 0.8 bags.
>when a 1 bag would only take 40 pizzas.
Think of the result of division not as "pizzas" but "pizzas per bag". Pizzas, bags, and "pizzas per bag" are all different kinds of stuff, much like dogs are different from motorcycles or canadian dollars.
If you divide 40 pizzas into 1 bag, you get 40 pizzas/bag, not 40 pizzas.
If you divide 40 pizzas into 2 bags, you get 20 pizzas/bag.
Then if you divide 40 pizzas into 0.8 bags, you get some X pizzas/bag, such that if you multiply X pizzas/bag by 0.8 bags, you get the 40 pizzas you started with.
Anonymous at Thu, 7 Nov 2024 00:42:15 UTC No. 16465523
>>16464947
40 pizza in 2 bags means that there will be 20 pizzas in 1 bag. The point YOU are trying to see is
>How many pizzas will go into ONE entire bag
So 40/.8, how are you supposed to see this? It's the same thing, "How many pizzas will go into ONE entire bag?" Well .8 is just 4/5. Take a bag, and separate it into 5 parts. For the first 4 parts, you take your 40 pizzas divided it evenly between the, which means each part gets 10 pizzas. Once again, the question is asking "How many pizzas will go into ONE entire bag?". If each part of the bag only holds 10 pizzas, and you have 5 parts of the bag, overall the bag will get 10 * 5 = 50 pizzas.
Thus, 40 pizzas for .8 bags means that 50 pizzas are going into one entire bag.
A similar example: You have 4 pizzas to divide into .8=4/5 of a bag - how many pizzas will fit into a single entire bag? Once again, you take a bag, divide it into 5. For the first 4 parts, each gets a pizza. Thus, the entire bag can hold 5 pizzas, so 4 / .8 = 5
Anonymous at Thu, 7 Nov 2024 21:36:59 UTC No. 16466462
>>16464947
0.8 = 8/10
40 / 0.8 = 40 / (8 / 10)
So you can say, if 40 pizzas fit in a bag 8/10 full, how many fit in a full bag?
Then you should say that we need 10/8 times more pizzas to fill the bag, so 40 * 10/8 = 400/8 = 50 pizzas to fill a full bag
Anonymous at Thu, 7 Nov 2024 22:11:13 UTC No. 16466518
>>16464947
If you have a bag of size 0.8 and 40 pizzas fit in it exactly, then you'd need 50 pizzas to fill a "full size" version of this bag.