Question

multiply the following number using the distributive property the equation are 2×38 and this is the grid that is just an example of the grid.

Answer 1

                                         30                                              8
     +------------------------------------------------------------+-------------------+
     I                                                                         I                        I
 2  I                                2 * 30                                I        2 * 8        I
     I                                                                         I                        I
     +------------------------------------------------------------+-------------------+


The entire large rectangle above is 38 units long and 2 units wide.
Its area is length times width, so the area is 2 * 38.
38 is also the same as 30 + 8, so the area can also be written as 2(30 + 8).

The left rectangle is 30 units long and 2 units wide. Its area is 2 * 30.
The right rectangle is 2 units long and 8 units wide. Its area is 2 * 8.

If you add the areas of the small rectangles, you get
2 * 30 + 2 * 8

If you add the two small areas, you get the area of the laerge rectangle, so

2(30 + 8) = 2 * 30 + 2 * 8

which is an example of the distributive property.