Question

№609.Примените распределительное свойство умножение; a)11*(60+a) б)21*(38-b) в)(x-9)*24 г)(y+4)*38

Answer 1

А) 660+11а
б) 798-21b
в) 24х-216
г)38у+152

Answer 2

a) 11*(60+a)

To apply the distributive property of multiplication, we can multiply each term inside the parentheses by the number outside the parentheses. In this case, the number outside the parentheses is 11.

Using the distributive property, we can simplify the expression as follows:

11 * (60 + a) = 11 * 60 + 11 * a

Now, we can calculate the values:

11 * 60 = 660 11 * a = 11a

So the simplified expression is:

11 * (60 + a) = 660 + 11a

b) 21*(38-b)

Similarly, for this expression, the number outside the parentheses is 21. So we can apply the distributive property as follows:

21 * (38 - b) = 21 * 38 - 21 * b

Now, we can calculate the values:

21 * 38 = 798 21 * b = 21b

So the simplified expression is:

21 * (38 - b) = 798 - 21b

c) (x-9)*24

For this expression, the number outside the parentheses is 24. We can apply the distributive property as follows:

(x - 9) * 24 = 24 * x - 24 * 9

Now, we can calculate the values:

24 * x = 24x 24 * 9 = 216

So the simplified expression is:

(x - 9) * 24 = 24x - 216

d) (y+4)*38

Lastly, for this expression, the number outside the parentheses is 38. We can apply the distributive property as follows:

(y + 4) * 38 = 38 * y + 38 * 4

Now, we can calculate the values:

38 * y = 38y 38 * 4 = 152

So the simplified expression is:

(y + 4) * 38 = 38y + 152