# How do you evaluate 4+ ( - 41) - ( - 3)?

Mar 11, 2018

$- 34$

#### Explanation:

$4 + \left(- 41\right) - \left(- 3\right)$

$\left(+ \cdot -\right) = -$

$\left(- \cdot -\right) = +$

$4 - 41 + 3 = - 37 + 3 = - 34$

Mar 11, 2018

-40

#### Explanation:

We must first evaluate the parentheses by multiplying them by their coefficients. The $+$ can be seen as a $1$ and the $-$ as a $- 1$. Our new expression looks like this: $4 + 1 \cdot \left(- 41\right) - \left(- 1\right) \cdot \left(- 3\right)$.
Following the order of operations we solve as such:
$4 - 41 - 3$
$- 40$

Mar 11, 2018

$4 + \left(- 41\right) - \left(- 3\right) = - 34$

#### Explanation:

So to add -41 to 4 you take away 41 from 4. This works due to the negative from 41 canceling out the positive on the plus.

$4 + \left(- 41\right) \mathmr{and} - 41 + 4 \mathmr{and} 4 - 41 = - 37$

So the sum is now -37 - (-3)
To subtract a negative number you actually add the number. This is because the negatives cancel each other out.
Therefore the sum is -37 + 3
$- 37 + 3 \mathmr{and} 3 - 37 = - 34$