How I can multiply 2 variables without losing precision

a= 378979003;

b= 1.443e-5;

The result of a*b is 5468.7 but I'm very interested in higher precision (such as 5468.6670). How to achieve those precision?

[John D'Errico]

The point of both answers is that MATLAB never did "lose" any precision. You did not see those extra digits because of the wrong format for your goals.

Answer 1

[Azzi Abdelmalek]

You can check that a*b and 5468.7 are not equal

a*b==5468.7

Now try this

format long
c=a*b

Answer 2

[Ben11]

Try this:

a= 378979003;

b= 1.443e-5;

format long

a*b

ans =

       5.468667013290000e+03