# How many laws does vector addition obey

## Point before line calculation, calculation with brackets

### Point calculation before line calculation

The point calculation includes multiplication, division and powers (which are an abbreviation for multiplying several equal numbers). Examples: 9 x 5 (multiplication), 72: 9 (division), 4³ (power, corresponds to: 4 x 4 x 4).

The addition and subtraction are part of the line calculation. Examples: 15 + 23 (addition), 64 - 54 (subtraction).

If we now have a larger term, we must first calculate all multiplications, divisions and powers and then add or subtract. We consider the following example: 23 + 14: 2 - 2³ - 2 + 5 · 2.

So we have to think about what to calculate first. We see three point calculations, which we calculate first, i.e. 14: 2 = 7, 2³ = 2 · 2 · 2 = 8 and 5 · 2 = 10, then we calculate the additions and subtractions from left to right.

### Calculate with brackets

However, the rule “point before line” can also be overridden using parentheses. Because before the point calculation, i.e. multiplications, divisions and powers, brackets are calculated. Within brackets, however, “point before line” applies again. Usually (…) is used as brackets, but for reasons of clarity one can also use […]. Brackets that belong together should not be different, i.e. not […).

However, you can also just use round brackets. So instead of 5 · [14 - (1 + 3)] one can also use 5 · (14 - (1 + 3)).

As already said, brackets are counted before scoring. If you have several brackets, start with the innermost brackets.

Here is an example: 5 · [14 - (29 + 3): (2² + 8: 2)] - 10

We take it step by step. First we look for the innermost brackets and calculate them according to the "point before line" rule. Then a new term is created, in which we first calculate the brackets again until there are no more brackets left and the term is simplified step by step until you can finally calculate the term after "dot before dash" and get the result.

Note: It is important to be able to write an equal sign in front of each line, all factors and summands must be "dragged along". If you do not want to "drag everything along", you must not write an equal sign between unequal lines:

Whereby the part outlined in orange is to be understood as a subsidiary calculation. Even if this notation is clearer for understanding, the above style should be preferred.

- How has the operating system changed over time?
- What is your best experience in meditation
- Why didn't Uber arrive in Winnipeg
- Can a therapist manipulate a client
- Songwriters take the performers' playability into account
- What does music tell you
- Can be drilled into the earth's mantle
- Can i be a mermaid
- How dependent is modern society on electricity
- Is this blood test normal?
- What is the best craft store
- What is special about Ubud
- Which Indian state is the wealthiest
- What are good short walks around London
- Why are Punjabi people so cute
- What is sales channel in sales
- How do you move towards your goal
- Can someone learn songwriting
- How often do Catholics have to say prayers
- Coldplay is overrated
- Why is Lord Vishnu called Anagha
- Travel agencies can book Airbnb
- How do academics view online doctoral degrees
- How do planets go into orbit