Question

How is the product of 4 and 2 shown using integer tiles?

a. 4 positive tiles and 2 positive tiles.
b. 4 negative tiles and 2 negative tiles.
c. 4 sets of 2 positive tiles.
d. 4 sets of 2 negative tiles.

Answer 1

The product of 4 and 2 using integer tiles is depicted as 4 sets of 2 positive tiles, which is answer c.

Step-by-step explanation:

The product of 4 and 2 shown using integer tiles is represented by 4 sets of 2 positive tiles. To visualize this, imagine that each set contains 2 tiles, and since we are multiplying 4 by 2, we need 4 of these sets. This arrangement corresponds with how multiplication is an operation of repeated addition. So in terms of tiles, we don't simply add 4 positive tiles to 2 positive tiles (which would be a sum), but instead, we have four groups each containing 2 positive tiles.

Therefore, the correct answer is c. 4 sets of 2 positive tiles.

Here's a bit more information to explain this concept using the integer rules:

• When two positive numbers multiply, the answer has a positive sign (e.g., 2x3 = 6).
• When two negative numbers multiply, the answer also has a positive sign (e.g., (-4) x (-3) = 12).
• When the two numbers multiplied have opposite signs, the answer has a negative sign (e.g., (-3) x 2 = -6 and 4 x (-4) = -16).
• The division follows the same sign rules as multiplication.