Final answer:
Option C, which is the equation 15 + (-25) = -10, correctly models the operation that results in -10. This is because when a positive number and a negative number are added together, the absolute values are subtracted and the sign of the larger absolute value is kept.
Step-by-step explanation:
The student's question asks to identify the equation that is modeled by the given operation. To solve this, we must understand how to deal with positive and negative numbers in addition and subtraction. Let's look at the provided equations:
- A. 15 + 25 = -10
- B. -10 + 15 = -10
- C. 15 + (-25) = -10
- D. -25 + 15 = -10
By applying the rules for addition and subtraction of signed numbers, it is clear that option C is correct since 15 + (-25) equals -10. When two numbers having opposite signs are added, subtract the smaller number from the larger number, and the answer has the sign of the larger number (in this case, -10).
Practice with other examples would reinforce this concept:
- 5-(+3) = 5-3 = 2. Here, the plus sign before the 3 is changed to a minus as per the rules of subtraction.
- 2-(-6)=2+6 = 8. The minus sign before the 6 is changed to a plus, effectively turning the subtraction into addition.
Therefore, the equation that correctly models the operation where the result is -10 is C. 15 + (-25) = -10.