Question

Вычисли рпоизведение 12×45 разными способами, применив сочетательный и распределительный законы умнажения?

Answer 1

12*45=2*6*9*5=540
12*(40+5)=12*40+5*12=480*60=540

Answer 2

Распределительный: 12*45=10* 45 + 2*45=450+90=540
Сочетательный: подумаю, если узнаю, напишу

Answer 3

Calculating 12 × 45 Using Associative and Distributive Laws of Multiplication

To calculate the product of 12 and 45 using the associative and distributive laws of multiplication, we can apply the following methods:

Associative Law of Multiplication

The associative law of multiplication states that the product of three or more numbers is the same regardless of how the numbers are grouped. In other words, when multiplying three or more numbers, the grouping of the factors does not affect the result.

Using the associative law, we can calculate 12 × 45 as follows: 1. (12 × 45) 2. (3 × 4) × 45 (Breaking down 12 into 3 and 4) 3. 3 × (4 × 45) (Rearranging the grouping)

The result of 12 × 45 using the associative law is 540.

Distributive Law of Multiplication

The distributive law of multiplication states that the product of a number and the sum of two other numbers is equal to the sum of the products of the number and each of the other two numbers.

Using the distributive law, we can calculate 12 × 45 as follows: 1. 12 × (40 + 5) 2. 12 × 40 + 12 × 5

The result of 12 × 45 using the distributive law is also 540.

Therefore, both the associative and distributive laws of multiplication yield the same result for the product of 12 and 45, which is 540.