Exactly

Ah! The Magic Decoder Ring that only works for English speakers. As a (poorly) recovering math head, I can hardly describe my disdain for PEMDAS/BOMDAS (it is only known as PEMDAS in the USA and France; in most other countries that recognize the acronym's meaning it is BOMDAS). In either case it is execrable. The writer of an expression is responsible for its clarity, just as a writer of text is. Nested parentheses may look worse, but the functionality in the real world is vastly better. Example: a store has shoes @ $24 and socks @ $14 per package, both on sale 15% off. We also need a sweater @ $35... not on sale, naturally! The transaction is taxed at 55%. (Oops! I wasn't supposed to announce the new rate until next week!) We could write it as (24+14) *1.15+35 (1.55). It doesn't look bad, but relying on PEMDAS/BOMDAS hardly clarifies the situation at all. Most important is that at a glance it looks okay but it is horribly messed up, giving the wrong answer for reasons that can be hard to pin down. Nested parentheses gives us ((24+14) * (1-0.15) + 35) * (1+.55) The first term is the combination of the two sale items, followed by the discount. Then we add the sweater, and we pay the base amount plus tax on it all. Any of those items can be changed without incurring the displeasure of PEMDAS, the ogre that hides in the cave. Most of all, we are not forbidden on pain of being all wrong from simplifying the explicit terms within the parentheses. When we decide we have it right, the first step is to compact it: ((38*0.85)+35) (1.55). BTW: I am a fan of keeping the leading zero for decimal values; that little decimal point could be missed. Far fewer ways to go wrong unnoticed. When the choice is convention or clarity, always go with clarity. This is mathematics, a discipline that is used to track all the monetary value in the world. "In today's news, the IMF announced a 178 trillion dollar error in calculating the cost of feeding Europe. France insisted PEMDAS is better than BOMDAS, and in the furor and hair pulling melee mistakes were made. President Macron of France explained, "Mon Dieu! I didn't know he was wearing a toupée." Don't say I didn't warn you.

Haven't used p e m d a s in decades , so I thought it was pedmas !😅 Still got it right , cause there was n o multiplying!

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You may be paranoid, but your way is the sound way of writing the expression. Parentheses clarify, PEMDAS/BOMDAS build in obscurity.

Dear friend! Watch the video until the end. I have first shown the wrong way to do it.

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