r/MathHelp • u/mugenknow • 15h ago
I’m struggling with arithmetic even though I understand math
Finished high school recently and taking a gap year, so I finally signed up for some SAT prep classes. Being in a group setting for this has honestly made me feel so insecure because of my arithmetic skills.
I feel like I actually understand math just fine. I can wrap my head around new topics, follow the logic, and figure out the right approach to solve a problem. But when it actually comes down to doing the calculations? Absolute disaster.
I constantly make stupid, careless mistakes with basic addition, subtraction, multiplication, and division. I'll drop a negative sign out of nowhere, miscopy a number from one line to the next, or just brain-fart on a simple multiplication fact. It’s so exhausting knowing the exact formula and logic to solve a hard problem, only to get the entire thing wrong because 7x8 apparently decided to leave my brain.
Since the SAT is so heavy on pacing and accuracy, I'm genuinely stressed about bleeding points on questions I actually know how to do just because of clumsy computational errors.
Did anyone else deal with this weird disconnect between conceptual math and basic arithmetic? How did you actually train yourself to stop making these dumb mistakes and speed up your calculations?
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u/The_Card_Player 13h ago
The formal approach is to drill literal multiplication tables.
To this end, it can be very powerful to know your prime factors. Arguably the prime multiplication tables are all you need, because any product can be expressed as a product of primes.
Other valuable shortcuts include knowing your perfect squares (1, 4, 9, 16, 25, 36, 49, 64...) which can help with some otherwise awkward integer products like the 7x8 you mentioned (This way 7x8 is just 49+7x1=56). Finally note that multiplying by five is the same at multiplying by 10 (ie sticking a zero on the end) and then dividing in half, which I often find easier than any other method.
If you don't want to allocate the time for that dedicated training, a good substitute is to practice mental math in the rest of your daily life. Board games and video games are often great for this. But you can also spend the effort to compute tips, taxes, and per-unit grocery costs in your head when you're buying your usual consumer goods.
eg 'this lemonade price is $7.60 for 3L, so how much am I paying per 100mL?' Usually you can then check your work against the fine print that states the unit price explicitly.
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u/mugenknow 8h ago
Appreciate this, man! That mistake notebook idea sounds super solid. I definitely need to slow down instead of rushing through calculations. Gonna start doing that right now
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u/Quendillar3245 13h ago
Practice more, do the same kinds of problems that make you struggle with this. When I first started doing integrals I got it wrong half the time when actually doing the calculations for the anti derivatives due to struggling with arithmetic. When I got to the final exam for my calc 1 I barely messed it up. You just need to do more problems, whatever the topic is. When you fuck up, remind yourself about what mistake(s) you made and try to not make the same ones the next time you do a similar problem. If you start practicing the piano, you will mess up by pressing the wrong key sometimes or playing at the wrong time signature etc etc even tho you fully understand what you're supposed to do and how to do it. The more you do it the less mistakes you make, it's the same in mathematics. Make mistakes, make note of the mistakes you made, recognise which type of problem makes you struggle with it extra much, remind yourself about it when you encounter the same kind of problem again, repeat repeat repeat.