To solve the addition problem [tex]\( -1 + 8 \)[/tex]:
1. Identify the numbers and their signs:
- The first number is [tex]\(-1\)[/tex], which is a negative number.
- The second number is [tex]\(8\)[/tex], which is a positive number.
2. Consider the operation:
- We are adding a negative number to a positive number.
- When adding a negative number to a positive number, you can think of it as subtracting the absolute value of the negative number from the positive number.
3. Subtract the absolute value of the negative number from the positive number:
- The absolute value of [tex]\(-1\)[/tex] is [tex]\(1\)[/tex].
- Subtract [tex]\(1\)[/tex] from [tex]\(8\)[/tex]:
[tex]\[ 8 - 1 = 7 \][/tex]
4. Determine the sign of the result:
- Since the positive number ([tex]\(8\)[/tex]) is larger than the negative number ([tex]\(-1\)[/tex]), the result will retain the positive sign.
5. Write down the result:
Therefore, [tex]\( -1 + 8 = 7 \)[/tex].
The answer is:
[tex]\[ 7 \][/tex]