Question

1. Explain why the diagram shows that 6(3 + 4) = 6(3) +6(4). 2. Draw a diagram to show that 5(x + 2) = 5x+ 10.

Answer 1

Given the expression:

`6(3+4)=6(3)+6(4)`

The expression shows the distribution property of addition

So, 6 ( 3 +4 ) = 6 * 7 = 42

Which will give the same result if we distribute 6 over 3 and 4

So, 6 (3) + 6(4) = 18 + 24 =42

Show the following diagram:

As shown, the rectangle on the left side has 3 rows + 4 rows

Which will give us 7 rows when divided to 6 column will give 42 squares

While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares

So, 6 ( 3 + 4 ) = 6(3) + 6 (4)