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Knowledge point arrangement of unit 1 "fractional multiplication" in the first volume of sixth grade mathematics
I. Fractional multiplication

(a), the calculation rules of fractional multiplication:

1, Fraction multiplied by integer: the product of numerator multiplied by integer is numerator, and the denominator remains unchanged. (Integer and denominator divisor)

2. Fraction and fractional multiplication: use the product of molecular multiplication as the numerator and the product of denominator multiplication as the denominator.

3. In order to simplify the calculation, the points that can be reduced are reduced first and then calculated.

Note: When multiplying with a fraction, the fraction should be converted into a false fraction before calculation.

(2) Law: (When the multiplication is relatively large)

A number (except 0) is multiplied by a number greater than 1, and the product is greater than this number.

A number (except 0) multiplied by a number (except 0) is less than 1, and the product is less than this number.

A number (except 0) is multiplied by 1, and the product is equal to this number.

(3) The operation order of fractional mixed operation is the same as that of integer.

(4) The commutative law, associative law and distributive law of integer multiplication are also applicable to fractional multiplication.

Multiplicative commutative law: a b = b a

Law of multiplicative association: (a b )c = a (b c)

Multiplication and distribution law: (a+b) c = a c+b c a c+b c = (a+b) c c.

Second, solve the problem of fractional multiplication.

(The quantity (times) of a given unit 1 is a fraction of the unit 1? )

1, find the unit 1: before the rate in the rate sentence; Or the back, yes, than.

2. Find several times of a number: several times of a number; Find the fraction of a number: a number.

3, write quantitative relationship skills:

(1) is equivalent to accounting for, yes, the proportion is equivalent to =

(2) Before the score is: the score of unit 1 = the amount corresponding to the score.

(3) More or less before the score: the amount of unit 1 (1 score) = the amount corresponding to the score.

Third, the countdown.

The meaning of 1 and reciprocal: the product is 1' and two numbers are reciprocal.

Emphasis: reciprocal, that is, reciprocal is the relationship between two numbers. They are interdependent and reciprocity cannot exist alone.

Make it clear who is the reciprocal of who.

2. Reciprocal method:

(1), find the reciprocal of the fraction: exchange the position of the denominator of the numerator.

(2) Find the reciprocal of an integer: treat an integer as a fraction with a denominator of 1, and then exchange the positions of the denominator of the numerator.

(3) Find the reciprocal of the band score: turn the band score into a false score, and then find the reciprocal.

(4) Find the reciprocal of decimals: Turn decimals into fractions, and then find the reciprocal.

3. The reciprocal of1is1; 0 has no reciprocal. Because 10 is multiplied by any number to get 0 (denominator cannot be 0).

4. For any number, its reciprocal is; The reciprocal of a nonzero integer is; The reciprocal of the score is;

5. The reciprocal of the true score is greater than1; The reciprocal of the false score is less than or equal to1; The reciprocal of the score is less than 1.