To find the sum of [tex]\(-6\)[/tex] and [tex]\(9\)[/tex], follow these steps:
1. Identify the numbers: The numbers involved are [tex]\(-6\)[/tex] and [tex]\(9\)[/tex].
2. Understanding the operation: We need to add these two numbers together. This involves combining a negative number ([tex]\(-6\)[/tex]) with a positive number ([tex]\(9\)[/tex]).
3. Apply the rules of integer addition:
- When adding a negative number and a positive number, subtract the smaller absolute value from the larger absolute value.
- The result will take the sign of the number with the larger absolute value.
4. Compare the absolute values:
- The absolute value of [tex]\(-6\)[/tex] is [tex]\(6\)[/tex].
- The absolute value of [tex]\(9\)[/tex] is [tex]\(9\)[/tex].
Since [tex]\(9\)[/tex] is larger, the result will be positive.
5. Subtract the smaller absolute value from the larger absolute value:
- [tex]\(9 - 6 = 3\)[/tex].
6. Determine the sign of the result: Since [tex]\(9\)[/tex] (the positive number) has a larger absolute value than [tex]\(-6\)[/tex] (the negative number), the result will be positive.
Therefore, the sum of [tex]\(-6\)[/tex] and [tex]\(9\)[/tex] is [tex]\(3\)[/tex].
