Analysis: This question examines the reverse application of multiplication and division. For example, 55x66, 66x 155, 66x 10 all have 66, so the reverse usage of multiplication and division can be used.

The problem solving process is as follows:

55x66+66x 155-66x 10

=66x(55+ 155- 10)

=66x(2 10- 10)

=66x200

= 13200

Extended data:

There are the following calculations (see the product of common special numbers and simplified calculation formula for the formula):

Addition: (additive commutative law) (law of addition association) (divisor)

Additive commutative law

In the addition operation of two numbers, according to the calculation order from left to right, two addends are added, the positions of addends are exchanged, and the sum is unchanged. Letters: a+b+c=a+(b+c)

associative law of addition

The law of addition and association is the addition of three numbers. First, add the first two numbers, or add the last two numbers. The same. Letters: a+b+c=a+(b+c)

Multiplication: (multiplicative commutative law) (multiplicative associative law) (multiplicative distributive law) (variation of multiplicative distributive law (4))

Commutative law of multiplication

Multiply two factors, exchange the position of the factors, and the product remains unchanged. Letter: axb=bxa

Multiplicative associative law

Multiply three numbers, the first two numbers are multiplied and then multiplied, or the last two numbers are multiplied and then multiplied, and the product remains the same. Letter: (axb)xc=ax(bxc)

Powder companion

Generally, in rational number multiplication, multiplying a number by the sum of two numbers is equivalent to multiplying this number by these two numbers respectively, and then adding the products.

Letters: a×c+b×c=(a+b)×c

Multiplication and division can also be used to calculate decimals and fractions: the reverse application of multiplication and division; Reverse application of multiplication and distribution law.

Subtraction: (the basic nature of subtraction) (divisor)

Division: (the basic nature of division) (the nature of constant quotient)