To add integers, we follow different rules depending on whether the integers have the same sign or different signs. Let's break it down step-by-step:
### Adding Integers with the Same Sign
1. Add the absolute values of the numbers.
2. Keep the common sign.
### Adding Integers with Different Signs
1. Subtract the smaller absolute value from the larger absolute value.
2. The sign of the result is the same as the sign of the number with the larger absolute value.
### Let's apply these rules to the given problems:
#### Example 1: [tex]\((-20) + 5\)[/tex]
1. Identify the absolute values: [tex]\(|-20| = 20\)[/tex] and [tex]\(|5| = 5\)[/tex].
2. Since the signs are different, we subtract the smaller absolute value from the larger: [tex]\(20 - 5 = 15\)[/tex].
3. The sign of the result is the same as the sign of the number with the larger absolute value, which is [tex]\(-20\)[/tex] (negative).
Answer: [tex]\((-20) + 5 = -15\)[/tex]
#### Example 2: [tex]\(22 + (-18)\)[/tex]
1. Identify the absolute values: [tex]\(|22| = 22\)[/tex] and [tex]\(|-18| = 18\)[/tex].
2. Since the signs are different, we subtract the smaller absolute value from the larger: [tex]\(22 - 18 = 4\)[/tex].
3. The sign of the result is the same as the sign of the number with the larger absolute value, which is [tex]\(22\)[/tex] (positive).
Answer: [tex]\(22 + (-18) = 4\)[/tex]
### Final Results
[tex]\[
\begin{array}{|c|c|c|}
\hline \text{Add} & \text{Sss or Dos ?} & \text{Answer} \\
\hline (-20) + 5 & \text{Different Signs} & -15 \\
\hline 22 + (-18) & \text{Different Signs} & 4 \\
\hline
\end{array}
\][/tex]
