Step 1: Divide the two numbers of the multiplication formula into ten and four digits. For example, to calculate 23×35, you can divide 23 into 20 and 3, and 35 into 30 and 5.

Step 2: Fill these four numbers into the four wings of the butterfly. Specifically, fill in 20 in the upper left corner, 3 in the upper right corner, 30 in the lower left corner and 5 in the lower right corner.

Step 3: Add the two numbers on the diagonal. In this example, the two numbers on the diagonal are 20 and 5, which add up to 25. Step 4: Multiply the added result by two independent numbers. In this example, the result of addition is 25, so 23× 35 = 25×100+25× 3+25× 5 = 575.

Application of Butterfly Painting Method

Butterfly drawing can be used to multiply any two numbers.

1, for example 1: 34× 27?

Step 1: Divide 34 into 30 and 4, and 27 into 20 and 7.

Step 2: Fill in 30 in the upper left corner, 4 in the upper right corner, 20 in the lower left corner and 7 in the lower right corner.

Step 3: Add the two numbers on the diagonal to get 50.

Step 4: Multiply the added result by two independent numbers to get 9 18.

2. Example 2: 68× 42?

Step 1: Divide 68 into 60 and 8, and 42 into 40 and 2.

Step 2: Fill in 60 in the upper left corner, 8 in the upper right corner, 40 in the lower left corner and 2 in the lower right corner.

Step 3: Add the two numbers on the diagonal to get 280.

Step 4: Multiply the added result by two independent numbers to get 2856.

Besides multiplication, butterfly painting can also be used to solve other mathematical problems. For example, the square number, cubic number and square root can be calculated by butterfly drawing method. These applications need more in-depth mathematical knowledge, which is beyond the scope of this paper.

Butterfly drawing is a very practical quick calculation method, which can help us to do multiplication quickly and accurately. Its principle is to transform the multiplication formula into a butterfly shape, thus making the calculation simple. Mastering the steps and application of butterfly drawing method can improve our mathematical calculation efficiency and make it easier for us to deal with mathematical problems.