Final answer:
When you add 5 and -5, you are adding two numbers with opposite signs but equal magnitude, resulting in 0. The correct answer is B. 0, as demonstrated by the subtraction principle and number line operations. The correct answer is option B .
Step-by-step explanation:
The question asks: Which number line shows the solution to 5 + (−5)? To find the solution, we need to understand the rules for adding numbers with different signs.
When adding two numbers with opposite signs, you subtract the smaller number from the larger number and the result takes the sign of the larger number in absolute value terms. In this example, 5 and -5 are equal in absolute value but have opposite signs. Therefore, when we apply the rule, we have 5 - 5, which equals 0.
This result can also be understood in terms of number line operations. If you start at 5 on a number line and move 5 units to the left (because we are adding a negative number), you would end up at 0. The movement to the left cancels out the initial positive value, bringing us back to zero.
Thus, the correct answer is: B. 0. This answer aligns with the sample operation provided: 5-(+3) = 5-3 = 2, which demonstrates changing the sign before operating addition.
Whenever you are faced with a situation where you have to add a positive and a negative number of the same magnitude, the result will always be zero. This is a fundamental concept in arithmetic and helps to underpin more complex mathematical operations encountered in algebra and beyond.