Question

Назовите числа в "окошках" так, чтобы равенства были верными. используйте распределительное свойство умножения. Запишите эти равенства.(7+2)*3=7*....+2*....(....+....)*5=7*....+9*....(4+5)*2=.....*2+.....*2(....+....)*6=42+24Пожалуйста помогите

Answer 1

(7+2)*3=7*3+2*3
(7+9)*5=7*5+9*5
(4+5)*2=4*2+5*2

А четвёртое не понятно как написано.

Answer 2

Distributive Property of Multiplication

The distributive property of multiplication states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c. In other words:

a * (b + c) = (a * b) + (a * c)

Using the distributive property, we can find the missing numbers in the given equations.

1. (7 + 2) * 3 = 7 * ... + 2 * ...

Let's find the missing numbers in this equation. We know that (7 + 2) * 3 is equal to 27. Using the distributive property, we can rewrite the equation as:

7 * 3 + 2 * 3 = 27

Therefore, the missing numbers are 3 and 3.

2. (.... + ....) * 5 = 7 * .... + 9 * ....

In this equation, we need to find the missing numbers. Since the left side of the equation is multiplied by 5, we can distribute the multiplication to both terms inside the parentheses. The equation becomes:

.... * 5 + .... * 5 = 7 * .... + 9 * ....

We don't have enough information to determine the exact values of the missing numbers. The equation remains as it is.

3. (4 + 5) * 2 = ..... * 2 + ..... * 2

To find the missing numbers in this equation, we can apply the distributive property. The equation becomes:

4 * 2 + 5 * 2 = ..... * 2 + ..... * 2

Simplifying the equation, we get:

8 + 10 = ..... * 2 + ..... * 2

18 = ..... * 2 + ..... * 2

Therefore, the missing numbers are 9 and 9.

4. (.... + ....) * 6 = 42 + 24

In this equation, we need to find the missing numbers. Since the right side of the equation is already simplified, we can distribute the multiplication to both terms inside the parentheses. The equation becomes:

.... * 6 + .... * 6 = 42 + 24

We don't have enough information to determine the exact values of the missing numbers. The equation remains as it is.

To summarize: 1. (7 + 2) * 3 = 7 * 3 + 2 * 3 (missing numbers: 3 and 3) 2. (.... + ....) * 5 = 7 * .... + 9 * .... (missing numbers: unknown) 3. (4 + 5) * 2 = ..... * 2 + ..... * 2 (missing numbers: 9 and 9) 4. (.... + ....) * 6 = 42 + 24 (missing numbers: unknown)