Adding Integers: (-6) + 5
This article will guide you through adding negative and positive integers.
Understanding the Concept
Adding integers involves combining numbers with different signs. In this case, we are adding a negative number (-6) and a positive number (5).
Visual Representation
Imagine a number line. Start at -6.
- Adding a positive number means moving to the right on the number line. Since we're adding 5, move 5 units to the right.
Calculation
- Start with the larger absolute value: The absolute value of -6 is 6, which is greater than the absolute value of 5.
- Subtract the smaller absolute value: 6 - 5 = 1
- Keep the sign of the larger absolute value: Since -6 has a larger absolute value, the answer will be negative.
Therefore, (-6) + 5 = -1.
Key Takeaway
Adding a negative number is like subtracting the positive value. Understanding the concept of number lines and absolute values helps visualize and solve these types of equations.