Final answer:
The question asks to identify which sum the model represents, but without the model's visual we cannot provide an exact answer. The general rules for adding integers are provided, which the student can use to determine the correct sum represented by the model.
The correct answer is c) 8 + (-3) = 5
Step-by-step explanation:
The student's question refers to identifying the correct sum represented by a provided model. Unfortunately, without seeing the actual model, it is impossible to provide an accurate answer from the options presented. However, we can explain the general rules for addition of integers which the student can then apply to the model:
- When two positive numbers are added, the answer has a positive (or '+ve') sign, e.g., 3+2 = 5.
- When two negative numbers are added, the answer has a negative (or '−ve') sign, e.g., -4 + (-2) = -6.
- When adding two numbers with opposite signs, subtract the smaller number from the larger and give the answer the sign of the larger number, e.g., -5 +3 = -2.
- For subtraction, change the sign of the number being subtracted and then follow the rules of addition, e.g., 5 - (+3) = 5 - 3 = 2 or 2 - (-6) = 2 + 6 = 8.
By understanding these rules, the student can examine the model and determine which sum it represents. Without the visual representation, option (c) "8 + (-3) = 5" can be explained as follows: The number 8 is positive, and we're adding the opposite of 3, which changes the operation to subtraction, so 8 + (-3) is the same as 8 - 3, resulting in 5.
The correct answer is c) 8 + (-3) = 5