Question

1. Вычислите, используя свойства перестановки и группировки множителей. 2х8х4 = 2 x 4х8 = (2 x 4) x4 = 8x4 = 32 перестановка группировка. 3x6x3 5x3x2. 4x5x15x4x23x5x34x3x23x3x1​Помогите пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

1. To solve the expression 2 x 8 x 4 using the properties of permutation and grouping of factors, we can rearrange the factors and group them to simplify the calculation.

Starting with the expression 2 x 8 x 4, we can rearrange the factors using the commutative property of multiplication:

2 x 8 x 4 = 2 x 4 x 8

Next, we can group the factors in a way that allows us to simplify the calculation. Let's group the first two factors together:

(2 x 4) x 8

Now, we can perform the multiplication within the parentheses:

8 x 8 = 64

Therefore, the expression 2 x 8 x 4 simplifies to 64.

2. To solve the expression 3 x 6 x 3 + 5 x 3 x 2 using the properties of permutation and grouping of factors, we can apply the same approach as in the previous example.

Starting with the expression 3 x 6 x 3 + 5 x 3 x 2, we can rearrange the factors using the commutative property of multiplication:

3 x 6 x 3 + 5 x 3 x 2 = 3 x 3 x 6 + 5 x 2 x 3

Next, we can group the factors in a way that allows us to simplify the calculation. Let's group the first two factors together:

(3 x 3) x 6 + 5 x 2 x 3

Now, we can perform the multiplication within the parentheses:

9 x 6 + 5 x 2 x 3

54 + 10 x 3

Next, we can perform the multiplication:

54 + 30

Finally, we can perform the addition:

54 + 30 = 84

Therefore, the expression 3 x 6 x 3 + 5 x 3 x 2 simplifies to 84.

3. To solve the expression 4 x 5 x 15 x 4 x 23 x 5 x 34 x 3 x 23 x 3 x 1 using the properties of permutation and grouping of factors, we can apply the same approach as in the previous examples.

Starting with the expression 4 x 5 x 15 x 4 x 23 x 5 x 34 x 3 x 23 x 3 x 1, we can rearrange the factors using the commutative property of multiplication:

4 x 5 x 15 x 4 x 23 x 5 x 34 x 3 x 23 x 3 x 1 = 1 x 3 x 3 x 4 x 4 x 5 x 5 x 15 x 23 x 23 x 34

Next, we can group the factors in a way that allows us to simplify the calculation. Let's group the factors together:

(1 x 3 x 3) x (4 x 4 x 5 x 5) x (15 x 23 x 23 x 34)

Now, we can perform the multiplication within each group:

9 x 400 x 17835

Next, we can perform the multiplication:

9 x 400 x 17835 = 6419400

Therefore, the expression 4 x 5 x 15 x 4 x 23 x 5 x 34 x 3 x 23 x 3 x 1 simplifies to 6419400.

I hope this helps! Let me know if you have any further questions.