Question

1. simplify the expressions below. homework help

a. 8 - 13 - (-4)
b. 4 - (-7) + (-2)
c. -7 + 3 - 20

Explanation:

Part a

Step1: Simplify the subtraction of a negative number

Subtracting a negative number is equivalent to adding its positive. So, $8 - 13 - (-4)$ becomes $8 - 13 + 4$.

Step2: Perform the operations from left to right

First, calculate $8 - 13 = -5$. Then, calculate $-5 + 4 = -1$.

Step1: Simplify the subtraction of a negative number

Subtracting a negative number is equivalent to adding its positive. So, $4 - (-7) + (-2)$ becomes $4 + 7 - 2$.

Step2: Perform the operations from left to right

First, calculate $4 + 7 = 11$. Then, calculate $11 - 2 = 9$.

Step1: Perform the first addition

Calculate $-7 + 3 = -4$.

Step2: Perform the subtraction

Now, calculate $-4 - 20 = -24$.

Answer:

$-1$

Part b