How to Compare Two Enormous Numbers Without Writing Them Out

https://countingbeyond.fairmontdigest.com/posts/how-to-compare-two-enormous-numbers-without-writing-them-out

Comparing two enormous numbers without writing them out relies on understanding scale and order of magnitude. Instead of listing digits, look at the number of digits or the exponent in scientific notation. For example, one million has six digits and one billion has nine, so the billion is larger. Logarithms can also help by converting multiplication into addition, making comparisons straightforward.