Q: Why is estimating not as helpful when multiplying very small numbers?

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That is not what mathematicians mean by an irrational number, which is a number with an infinitely long decimal expansion. You will note that since division is the inverse of multiplication, dividing by small numbers has the same effect as multiplying by large numbers, and so dividing by zero, which is an infinitely small number, is equivalent to multiplying by infinity. The result in most cases is deemed to have no mathematical meaning.

The short answer is, infinite. With just integers, There are 498 numbers that can round up to 500, and 498 that can round down. If we include partial numbers, there are infinite, since the numbers can get infinitesimally small.

http://primes.utm.edu/lists/small/1000.txt

No, only a small minority are whole numbers.

The significant digits in a number can be arbitrarily small or large in number, according to the method of creating them.Numbers that can have an infinite number of possible significant digits are called transcendental numbers.

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It is - if you use appropriate rounding. Rounding does not have to be to whole numbers.

Estimating is not as helpful when multiplying very small numbers because the numbers aare very easy to answer

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It's easy... All you do is act like your multiplying small numbers

Multiplying numbers in scientific notation is easier when the numbers are very, very large or very, very small. Multiplying 0.000000000385 x 0.0000000474 is a pain. Multiplying 3.85 x 10-10 x 4.74 x 10-8 is not.

They are predatory..They keep numbers of small fish down to acceptable levels.

It helps in computing very large or very small numbers.

Because of the very large (and sometimes very small) numbers involved.Because of the very large (and sometimes very small) numbers involved.Because of the very large (and sometimes very small) numbers involved.Because of the very large (and sometimes very small) numbers involved.

That is not what mathematicians mean by an irrational number, which is a number with an infinitely long decimal expansion. You will note that since division is the inverse of multiplication, dividing by small numbers has the same effect as multiplying by large numbers, and so dividing by zero, which is an infinitely small number, is equivalent to multiplying by infinity. The result in most cases is deemed to have no mathematical meaning.

Asumming you mean estimating software for various contracting jobs, it can help you by giving you a ballpark figure of what to charge for the job.

sampling

This is easiest to understand using small numbers and the X,Y grid using the negative numbers to the left of 0 and positive to the right. By following the normal rules of multiplication, multiplying a negative number by a positive number moves the product further to the left from zero.