Use the number line to show that 2 X (3 + 2) =

Question

2 × 3 + 2 × 2.

Answer 1

To represent the expression 2 X (3 + 2), we start by showing the number 2 on the number line.

The number 2 is represented as a point on the number line.

Next, we represent the expression (3 + 2) by counting 3 units to the right from the number 2.

This brings us to the number 5 on the number line.

Finally, we multiply 2 by the number 5.

The result is shown by counting 2 units to the right from the number 5 on the number line.

We arrive at the number 10 on the number line.

Therefore, 2 X (3 + 2) = 10.

Now let's represent the expression 2 × 3 + 2 × 2 on the number line.

We start by showing the number 2 on the number line.

Next, we represent 2 × 3 by counting 3 units to the right from the number 2.

This brings us to the number 6 on the number line.

Then, we represent 2 × 2 by counting 2 more units to the right from the number 6.

This brings us to the number 10 on the number line, which is the same as the result we obtained for 2 X (3 + 2).

Therefore, using the number line, we can visually see that 2 X (3 + 2) is equal to 2 × 3 + 2 × 2.