The simple calculation process is as follows:

4.8×7.8+78×0.52

=0.48× 10×7.8+78×0.52

=(0.48+0.52)×78

= 1×78

=78

Extended data:

When the sum of two numbers is multiplied by a number, you can multiply the number first, and then add the products. This is the so-called law of multiplication and division.

The law of multiplication and distribution is a simple law, which is involved in the second volume of the fourth grade mathematics textbook of the People's Education Press: the sum of two numbers is multiplied by a number, and they can be multiplied by this number first, and then added to get the same number, which is called the distribution law.

The letter indicates: (a+b) × c = a× c+b× c.

Variant: (a-b) × c = a× c-b× c.