Add.
$\begin{array}{r}
-30+(-45)=\square \\
-26+32=\square
\end{array}$
Answer (1)
− 75 , 6
Explanation
Understanding the problem We are given two addition problems involving integers. Our goal is to find the sum in each case.
Calculating the first sum For the first problem, we need to add -30 and -45. Since both numbers are negative, we add their absolute values and keep the negative sign. ∣ − 30∣ = 30 ∣ − 45∣ = 45 30 + 45 = 75 Therefore, − 30 + ( − 45 ) = − 75
Calculating the second sum For the second problem, we need to add -26 and 32. Since the numbers have different signs, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. ∣ − 26∣ = 26 ∣32∣ = 32 32 − 26 = 6 Since 32 has a larger absolute value and is positive, the result is positive. Therefore, − 26 + 32 = 6
Final Answer The results of the addition problems are -75 and 6, respectively.
Examples
Understanding how to add integers is crucial in many real-life situations, such as managing bank accounts, calculating temperature changes, or determining profit and loss in business. For example, if you have a bank account with a starting balance of $0, and you deposit $32 and then withdraw $75, the final balance would be calculated as $0 + $32 + (-$75) = -$43. This means you would have an overdraft of $43.
