What is the concept of multiplicative distributive law?

Multiplicative Associative Law: The multiplicative associative law is a kind of arithmetic law for multiplicative operations.

Definition: Multiply three numbers, multiply the first two numbers first, or multiply the last two numbers first, and the product remains the same.

Multiplicative associativity: a b c = a (b c).

Multiplicative distributive law: adding (or subtracting) two numbers and multiplying another number is equivalent to multiplying this number by two additions (subtractions) respectively, and then adding (subtracting) the two products to obtain the same number.

Indicated by letters:

a+b）xc=axc+bxc

Extended Materials. The sum of two numbers can be multiplied by one number, and then the product can be added separately, which is called the multiplicative distributive law.

Graphical representation: =

The letter indicates: variant:

Resources. Encyclopedia - Multiplicative distributive property.

The multiplicative distributive property is to multiply two numbers by the same number, which is equivalent to multiplying the two additives with this number, and then adding the two products together, so that the result obtained is the same as the result obtained without simplification.

Example: 25 401

Multiply the sum of two numbers by one number, and you can multiply the two numbers by each of these numbers, and then add the two products. This method is called the multiplicative distributive property. Multiply the sum of two numbers by one number, and you can multiply the two numbers by each of these numbers, and then add the two products.

This method is called the multiplicative distributive property.

<> definition: 1. Multiplying two numbers by the same number is equivalent to multiplying the two additive numbers with this number respectively, and then adding up the two accumulations, and the result remains the same;

2. If the sum of two numbers is multiplied by one number, they can be multiplied by this number and then added, which is called the multiplicative distributive law.

Application: 1. Reverse application: extract the same number, and add or subtract the rest;

2. It can be used in the calculation of decimal and fractions;

3. Distributive property: multiply each number of the source signs in parentheses.

The multiplicative distributive property is: the sum of two numbers is multiplied by a number, which can be multiplied with this number respectively and then added, which can be expressed by letters as: (a+b)c=ac+bc So the answer is:

The multiplication method of Qiaofeng jujube distribution law is: the sum of two numbers and one number are divided and multiplied, which can be multiplied with this number respectively and then added, which can be expressed by letters as: (a+b)c=ac+bc

Multiplication of the distributive property a(b c)=ab ac multiplying the same number of two chaotic numbers is equivalent to multiplying the two additives with this number, and then adding up the two products, and the result remains the same.

Associative law ab ac=a(b c) Multiply the first two numbers first, or multiply the last two numbers first, and the product remains the same.

Commutative property ab=ba, multiplying two numbers, the position of the commutative factor, the product is unchanged.

There is no distributive property in addition.

Associative law (a+b)+c=a+(b+c) Add the three numbers, add the first two numbers first, or add the last two numbers first, and the sum is unchanged.

Commutative property a+b=b+a, the addition of two numbers, the position of the commutative addition, and the invariant.

The multiplicative distributive law is that two numbers are added together (or subtracted) and then multiplied by another number, which is equivalent to multiplying this number by two additions (subtraction) respectively, and then adding (subtracting) the two products to obtain the same number. Represented by letters: (a+b)x c=axc+bxc (Note:

x is the multiplication sign), and there is another way to represent this infiltration: a(b+c)=ab+ac

The multiplicative distributive property is: the sum of two numbers is multiplied by a number, which can be multiplied with this number respectively and then added, which can be expressed by letters as: (a+b)c=ac+bc So the answer is:

The multiplication method of Qiaofeng jujube distribution law is: the sum of two numbers and one number are divided and multiplied, which can be multiplied with this number respectively and then added, which can be expressed by letters as: (a+b)c=ac+bc

Multiplication of the distributive property a(b c)=ab ac multiplying the same number of two chaotic numbers is equivalent to multiplying the two additives with this number, and then adding up the two products, and the result remains the same.

Associative law ab ac=a(b c) Multiply the first two numbers first, or multiply the last two numbers first, and the product remains the same.

Commutative property ab=ba, multiplying two numbers, the position of the commutative factor, the product is unchanged.

There is no distributive property in addition.

Associative law (a+b)+c=a+(b+c) Add the three numbers, add the first two numbers first, or add the last two numbers first, and the sum is unchanged.

Commutative property a+b=b+a, the addition of two numbers, the position of the commutative addition, and the invariant.

The multiplicative distributive law refers to the law that the sum of two numbers is multiplied by one number, which is equivalent to multiplying the two numbers by the number and then adding the two products. The distributive property of multiplication plays an important role in mathematics, as it can help us to simplify complex operations when we make sails. Here are ten common question types for the multiplicative distributive property:

1.Integer multiplication distributive property:

The distributive property of integer multiplication means that (a+b) c = a c + b c, where a and b are integers and c is an integer. For example, 3 4 + 7) = 3 9 + 3 7 = 3 19 = 57.

2.Fraction multiplication distributive property:

The multiplicative distributive property of fractions means that (a b) c = a c b c, where a and b are fractions and c are integers. For example, (1 2) 5 3) 3 = 1 2) 15 3 3 = 1 2) 15 1 3 = 3.

3.Integer division distributive property:

The distributive property of integer division means that (a+b) c = a c + b c, where a and b are integers and c is an integer. For example, potato yard (4 + 3) 7 = 4 7) +3 7) = 4 7 + 3 7 = 5 7.

4.Fraction division distributive law:

The distributive property of fractional division refers to (a b) c = a c b c, where a and b are fractions and c are integers. For example, (1 3) 5 7) 3 = 1 3) 5 7 3 = 1 3) 5 7) 1 3 = 5 21.

The multiplicative distributive law refers to the multiplication of the sum of two numbers by a number, which can be multiplied by each number and then added.

a+b) c=a c+b c] (alphabetical representation) a c+b c=(a+b) c] (variant of letter representation) graphical representation).

Variants of graphical representations).

Example: 25 401=25 (400+1)=25 400+25 1=10000+25=10025

Multiplicative distributive property: (a+b) c=a b+b c multiplicative commutative property: a b=b a

Multiplicative associative law: (a b) c=a (b+c) additive associative law: (Wu Xiyan a+b) + c=a+(b+c) cavity.

Employ-Lee commutative law: a+b=b+a