The PEMDAS mnemonic isn’t failsafe, so be careful… but, generally speaking, one should always follow the proper Order of Operations — even inside grouping symbols (like parentheses).

]]>Hello Barbie ~

Although I sincerely hope that you’re no longer confused about this, I wanted to take a crack at your question (just in case). The convention of using grouping symbols — like parentheses — is to establish a priority of the various mathematical operations used to explain how to solve a given problem.

If by “squared,” you mean to say that (4+1) is to be raised to the second power, you would first find the sum of 4 + 1, which is 5 and, next, find the product of 5 squared, which is 25. From there, it’s simple arithmetic: 5 – 2 + 25, which brings one to the ultimate solution: 28.

I’ve seen many discussions on the internet in which students will not budge from the PEMDAS and/or the BODMAS mnemonic(s) they’re being taught in schools. If you wish to excel in any type of science-related career field, you will — literally — have to think outside of the box… or the grouping symbols, in this case.

Many educational practitioners are teaching from established curricula established by God knows who? In my opinion, this doesn’t usually mean that the original source of the mathematics being taught came from a science practitioner. Please bear that in mind.

]]>1.35*10^24 should be something like 2^80 which is very far away from the actual theoretical computer’s RAM size of 4PB (if using a 64bit machine, max memory is 2^64).

The information about the memory is taken from:

https://en.wikipedia.org/wiki/RAM_limit#64_bit_computing, accessed on May 17th 2020

“A cubic meter is 1000 liters (since 10 x 10 x 10 = 1000), and a cubic kilometer is 1,000,000,000 cubic meters”

So a cubic kilometer is 10^12 cubic meters, which are in turn are 10^3*10^12=10^15 liters (since a cubic meter is 1000 liters as the post says).

“which is about 1.35 billion cubic kilometers.”

A cubic kilometer are 10^15 liters.

So 1.35*10^9 cubic kilometers are 1.35*10^9*10^15 liters = 1.35*10^24 liters.

Yes, you are welcome to translate and repost my article with credit.

]]>and certainly I will indicate the source.

]]>