Yup, you have to double-check yourself. And watch out for subtracting negatives.
I always told my students that on my homeworks and exams if things were coming out horrid they should be sure they'd made a mistake. I actually worked hard to get problems where the arithmetic would turn out nice. Of course, once you know how to do it by hand, you should use technology anyhow.
Of course, but somehow this is because of capital -- there's less to do with the nation here and more to do with the fact that capital manifested itself in US.
Capital has wrecked havoc throughout history; look at how India developed post-independence. We followed the globalization model of economy, and so we have it.
Let $\mathbf{R}$ be a real closed field containing $\Bbb{R}$, and let $\mathbf{C} := \mathbf{R}[i]$. Is there a natural norm or topology on $\mathbf{R}$ or $\mathbf{C}$?