First of all, the split terminology method

Fractional splitting refers to splitting the items in the fractional formula so that the split items can be offset before and after. This split item calculation is called split item method.

The common splitting method is to split a number into the sum or difference of two or more digital units. When you encounter the calculation problem of split items, you should carefully observe the numerator and denominator of each item, find out the same relationship between the numerator and denominator of each item, and find out the part with * * * *. The problem of splitting term does not need complicated calculation, and it is generally the process of eliminating the middle part. In this case, it is most fundamental to find the similar parts of two adjacent items and let them be eliminated.

(1) molecules are all the same, the simplest form is all 1, and the complex form can be all x(x is any natural number), but as long as x is extracted, it can be transformed into an operation that all molecules are 1.

(2) The denominator is the product of several natural numbers, and the factors on two adjacent denominators are "end to end".

(3) The difference between several factors on the denominator is a constant value.

Second, the benchmark method

Find a more eclectic number from a series of numbers to represent all the numbers, and remember that the selection of this number cannot deviate from this series of numbers.

Example:

2072+2052+2062+2042+2083

=(2062 X5)+ 10- 10-20+2 1

= 103 10+ 1

= 103 1 1

Third, the law of additive combination.

By applying the law of addition and association (A+B)+C = A+(B+C), a simpler operation can be obtained by changing the position of the addend.

Example:

5.76+ 13.67+4.24+6.33

=(5.76+4.24)+( 13.67+6.33)

=30

Fourth, the tail removal method

In subtraction calculation, if the mantissa of the minuend and the minuend is the same, subtracting the minuend with the same mantissa first can make the calculation simple.

example

2356- 159-256

=2356-256- 159

=2 100- 159

= 194 1

In the formula, the mantissa of the second minuend 256 is the same as that of the minuend 2356, and the positions of the two numbers can be interchanged, so that 2356 is subtracted from 256 first, and the calculation is simple.

V. Methods of extracting common factors

This method actually uses the law of multiplication and distribution to extract the same factor.

Example:

0.92× 1.4 1+0.92×8.59

=0.92×( 1.4 1+8.59)

=9.2