As stated in video, it does matter if you put 5 - 10 over 10 - 5. One way you get positive number, the other way you get negative. That is clear.
But what I see here is that if you take the number with their sign (±), the order does not matter: +3 -6 = -6 +3. So the order does not matter really, what matter is, in fact, if you switch the numbers values/signs: +5 -10 =/= +10 -5.
So, with the division, the statement about order is more true, because it does really affect the outcome if you make +6/+3 over +3/+6 or +6/-3 over -3/+6… And so forth…
You’re absolutely right. When dealing with subtraction, you can instead look at it as just adding negative numbers.
This then allows you to use something called the commutative property of addition, which really just means that you can move the numbers around as much as you like.
For example, you can view 10 - 2 = 8 as 10 + (-2) = 8.
Then, you can easily rearrange things, and also say that (-2) + 10 = 8.
However, as you mentioned, it is important to remember to move the negative sign with the number. Otherwise you are changing their sign and you end up having a bad time!
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