Which number line best shows how to solve −6 − (−8)?
(5 points)
Group of answer choices
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 2.
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 8.
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to 6. Another arrow points from 6 to negative 8.
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to negative 2.
The answer would be option C: A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to 6. Another arrow points from 6 to negative 8. This is because -6 - (-8) is equivalent to -6 + 8, which simplifies to 2. Therefore, the arrow should move from -6 to 2.
The correct number line that shows how to solve −6 − (−8) is:
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 2.
To solve −6 − (−8), you can use a number line representation to help visualize the process. Let's break it down step by step:
1. Start with a number line that ranges from negative 10 to 10, with numbers labeled at intervals of 2. This will help us visualize the values and their positions.
2. Draw an arrow from point 0 to -6. This represents the value of -6 on the number line.
3. To subtract -8, we can rewrite it as adding the opposite: -(-8) = 8. In other words, we change the sign of -8 to positive 8.
4. Draw another arrow from -6 to 8. This represents adding 8 to -6 on the number line.
By following these steps, we find that -6 - (-8) is equal to 2. So the correct option is the one that shows a number line from negative 10 to 10, with an arrow from point 0 to -6, and another arrow from -6 to 2.
Therefore, the correct answer is:
A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 6. Another arrow points from negative 6 to 2.