Well it’s good for some shorthand but anything complicated you need either a calculator or do it long hand. With calculators everywhere they may have just switched to “hey fun mental ways to think about it because no one does long hand anyway”.
No, the same fundamental concepts works extremely well for multiplication of large numbers and long division, both of which don’t have a memorization option. It also helps with catching typos when using a calculator.
Easy long numbers yes, complicated long numbers I’m gonna say no. I’m not even saying large numbers, I’m saying long numbers which can include decimal points. And the chance of mistakes goes way up. There’s no point of doing it mentally or by hand when calculators are ubiquitous. I think this is why they switched to different ways of thinking about math, rather than hard core hand calculations that no one is going to do anyway.
Decimal points don’t make it more complicated when you understand the fundamentals.
Using a calculator is not a different way of thinking. You have to understand the math to know whether the calculator is being used correctly, the calculator just makes it faster.
Yeah, I’m probably missing what you are saying because I’m replying to what you are writing and the more you explain it the less sense it makes. Like there is nothing that I can think of involving decimals that increases in length. Maybe number of steps, but that is also true the more digits are involved and decimals only add one extra step.
Well it’s good for some shorthand but anything complicated you need either a calculator or do it long hand. With calculators everywhere they may have just switched to “hey fun mental ways to think about it because no one does long hand anyway”.
No, the same fundamental concepts works extremely well for multiplication of large numbers and long division, both of which don’t have a memorization option. It also helps with catching typos when using a calculator.
Easy long numbers yes, complicated long numbers I’m gonna say no. I’m not even saying large numbers, I’m saying long numbers which can include decimal points. And the chance of mistakes goes way up. There’s no point of doing it mentally or by hand when calculators are ubiquitous. I think this is why they switched to different ways of thinking about math, rather than hard core hand calculations that no one is going to do anyway.
Decimal points don’t make it more complicated when you understand the fundamentals.
Using a calculator is not a different way of thinking. You have to understand the math to know whether the calculator is being used correctly, the calculator just makes it faster.
Sigh. Decimals contribute to length. Length.
Sigh. I didn’t say calculators are a different way of thinking. I said common core is a different way of thinking, compared to long hand calculations.
You’re missing everything I say and it’s like trying to communicate to a brick wall. Ciao.
Yeah, I’m probably missing what you are saying because I’m replying to what you are writing and the more you explain it the less sense it makes. Like there is nothing that I can think of involving decimals that increases in length. Maybe number of steps, but that is also true the more digits are involved and decimals only add one extra step.