VIDEO: The chain theorem in mathematics briefly explained
The chain theorem in mathematics
- The chain set in the mathematics is - to put it simply - initially a multi-level rule of three.
- It is required to prepare invoices with several sets of three that have to be linked to one another.
- As soon as you want to complete a calculation that is dependent on several conditions, you have to apply the chain theorem.
- The calculation with a chain sentence is structured in such a way that, following the simple rule of three, one starts with the question sentence.
- All further conditional sentences are connected under these, always correctly provided with the respective units. It is important that these must be reduced within the later calculation until only one result unit remains.
- The remaining unit must correspond to the requested size unit, otherwise you have made a mistake within the chain set.
Nested rule of three - this is how you solve it
What actually is a nested rule of three? Most know this ...
The simple rule of three as the basis of the chain theorem
- With the rule of three you know three of four possible sizes, the fourth has to be calculated.
- The sizes are related to each other. For example, "a" corresponds to 100% and you also know the size "b". Now you need to calculate the percentage of "b".
- To do this, set up the relationships among each other. In the upper row there are "a" and the 100%, in the lower row "b" and instead of the percentage value a "?".
- Now you have to cross-calculate: "b" times 100% / "a" gives the percentage value, the size you are looking for.
A mathematical example of the multi-level rule of three
You are on vacation and your children want to ride, there are different price models.
- You want to know how expensive 3 rounds of horse riding are. They know that 2 laps have a duration of 2 hours and that the horses can be ridden for a maximum of 4 hours a day. Line 4: 5 days equals € 250
- Now you have to write down the proportions correctly: Line 1: X € corresponds to 8 rounds. Row 2: 2 rounds correspond to 2 hours. Ratios 3: 4 hours correspond to 1 day. Line 4: 5 days equals € 250.
- Now you have to solve these conditions for X and put everything that is on the right in the numerator of the Calculate, put all sizes listed on the left in the denominator: X = 8 R times 2 h times 1 Tg times 250 € / 2 R times 4 h times 5 days
- This is how you calculate the desired result in mathematics, the exact amount for the 3 rounds, namely 100 €; all other size units are abbreviated.
