Question

Найдите значение выражения,дважды воспользовавшись распределительным свойством: а)22*26-11*26 б)32*26-11*32 в)43*16+43*13 г)48*11+48*4 Образец:43*25-43*13=43*(25-13)=43*12=43*(10+2)==430+86=516.

Answer 1

А) 26(22-11) = 26*11=26(10+1)=260+26=286
б) 48*(10+1)+43*(10+3)= 480+48+430+129=1087
в)43х13=43х(25-13)=43х12=43х(10+2)=430+86=516

Answer 2

а ) 32*26-11*26 = 26*(32-11)= 26*21=546

б ) 32*26-11*32 = 32*(26-11)= 32*15=480

в ) 43*16+43*13 =43*(16+43)=43*59=2537

г ) 48*11+48*4= 48*(11+4)=48*15=720

Answer 3

a) 22*26-11*26

22 * 26 - 11 * 26 can be simplified using the distributive property. The distributive property states that for any numbers a, b, and c, the expression a * (b - c) is equivalent to a * b - a * c.

In this case, we have 22 * 26 - 11 * 26. We can factor out 26 from both terms:

22 * 26 - 11 * 26 = (22 - 11) * 26

Now we can simplify the expression inside the parentheses:

(22 - 11) * 26 = 11 * 26

Finally, we can calculate the result:

11 * 26 = 286

Therefore, 22 * 26 - 11 * 26 is equal to 286.

б) 32*26-11*32

Following the same steps as in the previous example, we can simplify 32 * 26 - 11 * 32:

32 * 26 - 11 * 32 = (32 - 11) * 32

Simplifying the expression inside the parentheses:

(32 - 11) * 32 = 21 * 32

Calculating the result:

21 * 32 = 672

So, 32 * 26 - 11 * 32 is equal to 672.

в) 43*16+43*13

Applying the distributive property to 43 * 16 + 43 * 13:

43 * 16 + 43 * 13 = 43 * (16 + 13)

Simplifying the expression inside the parentheses:

43 * (16 + 13) = 43 * 29

Calculating the result:

43 * 29 = 1247

Thus, 43 * 16 + 43 * 13 equals 1247.

г) 48*11+48*4

Using the distributive property on 48 * 11 + 48 * 4:

48 * 11 + 48 * 4 = 48 * (11 + 4)

Simplifying the expression inside the parentheses:

48 * (11 + 4) = 48 * 15

Calculating the result:

48 * 15 = 720

So, 48 * 11 + 48 * 4 is equal to 720.

To summarize:

a) 22 * 26 - 11 * 26 = 286 б) 32 * 26 - 11 * 32 = 672 в) 43 * 16 + 43 * 13 = 1247 г) 48 * 11 + 48 * 4 = 720