Answer:
To evaluate an expression using the integer tiles interactive, follow these steps:
1. Open the integer tiles interactive tool provided.
2. Identify the expression you need to evaluate. For example, let's consider the expression: 3 + (-5) * 2.
3. Start by representing each number in the expression using the integer tiles. In this case, you would represent the number 3 with three positive tiles (tiles with a positive sign) and the number -5 with five negative tiles (tiles with a negative sign). You can drag and drop the tiles from the tool to represent the numbers.
4. Next, represent the operation symbols in the expression. In this case, you would represent the addition symbol (+) and the multiplication symbol (*) using the tiles provided in the tool.
5. Arrange the tiles to visually represent the expression. For example, you would place the three positive tiles (representing 3) next to the addition symbol (+), and then place the five negative tiles (representing -5) next to the multiplication symbol (*).
6. Apply the order of operations (PEMDAS/BODMAS) to evaluate the expression correctly. In this case, you would perform the multiplication before the addition.
7. Use the tool to perform the multiplication operation by combining the tiles accordingly. For example, you would group the five negative tiles into two groups, one with four tiles and one with one tile. This represents -5 * 2, which equals -10.
8. Replace the multiplication part of the expression with the result of the operation. So, you would replace -5 * 2 with -10 in the arrangement of tiles.
9. Finally, perform the addition operation by combining the positive tiles with the result of the multiplication. In this case, you would combine the three positive tiles with the -10 tile, which gives you a final result of -7.
By following these steps and visually representing the expression using the integer tiles interactive, you can evaluate the expression accurately.
Explanation: