How to calculate the simple algorithm of 9999 times 2222 plus 3333 times 3334?

Analysis: First divide 9999 into 3333×3, then multiply 3 and 2222, and finally calculate by multiplication and division.

9999 times 2222 plus 3333 times 3334.

= 3333×3× 2222+3333×3334 (9999 split into 3333× 3)

= 3333 × (3×2222)+3333 × 3334 (calculate 3×2222 in brackets first)

=3333×6666+3333x3334

= 3333x (6666+3334) (the same number 3333 is extracted by the inverse operation of multiplication and division).

=3333× 10000

=33330000

Extended data:

Precautions for simple operation:

In simple operation, we should pay attention to the relationship between operation symbols (multiplication, division, addition and subtraction) and big, middle and small brackets. Don't skip the operation to avoid mistakes.

Related laws of simple operation

1, multiplicative distribution law

The most commonly used method in simple calculation is multiplication and distribution law. Multiplication and division means ax(b+c)=axb+axc, where A, B and C are arbitrary real numbers. On the contrary, axb+axc=ax(b+c) is called the inverse application of multiplication and division (also called finding common divisor), especially when A and B are complementary to each other, this method is more useful.

2. Multiplicative associative law

The multiplicative associative law is also a simple method, which is expressed by letters as (a×b)×c=a×(b×c). Its definition (method) is: multiply three numbers, first by the first two numbers, then by the third number; Or multiply the last two numbers first, and then multiply the first number, and the product remains the same.

3. Multiplicative commutative law

Multiplicative commutative law is used to exchange the positions of various numbers: a× b = b× a.