How to visualize division as splitting Dividend into B equal “partial groups”, then rounding up A partial groups to get a full group?
Because
But you could replace 6, 3, and 4 with any numbers X, A, and B. If you do that, the same sort of logic holds.
means taking a full group of X items and splitting it apart into B equal parts but only taking A of these parts as your final amount that you have. Meanwhile, means starting out with a total of X items, splitting it up into B equal "partial groups" (where a full group is actually A of these partial groups), and then rounding up A partial groups to get a full group. Again, the actions you do are the same in both cases - you start with X, split it into B equal groups, and take A of these groups as your final answer.
I don't understand the bolded sentence. Can you please picture all this?
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What exactly are my B (= 3) equal "partial groups" here?
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What exactly is my full group that's "a full group is actually A [= 2] of these partial groups"?
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How do I round "up A [= 2] partial groups to get a full group"?
1 answer
The bolded sentence confuses
Meanwhile,
Visualization 1
First a completely integer example: There are two teams who receive 6 items, how many items does each team get? Clearly one team gets
Visualization 2
Now to your numbers: Two thirds of a team receive 6 items, how many items does the whole team get? The answer is
More wordy:
A team has
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The "full group" are the items distributed to the team.
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The "partial groups" are the items each team member recieves (imagine the 6 items in 2 bags of three items each, one bag is a partial group). Since there are three members in the team, it takes
partial groups to make the full group. -
"Round up" should be read as "gather" rather than in the mathematical rounding sense.
Meanwhile,
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