I'm wondering what notation of the following two is preferred:
A) $\frac{1}{3}+0.7 \approx 0.3 + 0.7 = 1.0$
B) $\frac{1}{3}+0.7 \approx 0.3 + 0.7 \approx 1.0$
I guess it depends on if you interpret it as:
$\frac{1}{3}+0.7 $ which is approximately $0.3 + 0.7$ which is exactly equal to $1.0$
or
$\frac{1}{3}+0.7 $ which is approximately $0.3 + 0.7$ which is approximately equal to $1.0$ because of the previous approximation. I would argue for the first.
Since the scope of relations such as equalities and approximations is only the left and the right hand sides, I believe A) is preferred.