Question

excellence #1: adding/ subtracting integers
show all work & circle your final answer.
adding and subtracting integers
-70 + -60
12 + -17
-1001 + -1001
-24 - (-12)

Explanation:

First problem: \(-70 + (-60)\)

Step1: Recall integer addition rule

When adding two negative numbers, we add their absolute values and keep the negative sign. So, \(|-70| = 70\) and \(|-60| = 60\).

Step2: Perform the addition

\(70 + 60 = 130\), then apply the negative sign. So, \(-70 + (-60)=-(70 + 60)=-130\).

Second problem: \(12 + (-17)\)

Step1: Recall integer addition rule

When adding a positive and a negative number, we subtract the smaller absolute value from the larger one and take the sign of the number with the larger absolute value. \(|12| = 12\) and \(|-17| = 17\).

Step2: Perform the subtraction

\(17 - 12 = 5\), and since \(17>12\) and \(-17\) is negative, the result is negative. So, \(12+(-17)=-(17 - 12)=-5\).

Third problem: \(-1001+(-1001)\)

Step1: Recall integer addition rule

For two negative numbers, add their absolute values and keep the negative sign. \(|-1001| = 1001\) for both.

Step2: Perform the addition

\(1001+1001 = 2002\), then apply the negative sign. So, \(-1001+(-1001)=-(1001 + 1001)=-2002\).

Fourth problem: \(-24-(-12)\)

Answer:

s:

• \(-70 + (-60)=\boxed{-130}\)
• \(12 + (-17)=\boxed{-5}\)
• \(-1001+(-1001)=\boxed{-2002}\)
• \(-24-(-12)=\boxed{-12}\)