Without using a calculator, compute the value of each expression below. 

1.  $−14+(−31)$

   Hint (a):

   If you drew the tiles, would you have any zero pairs?

   Answer (a):

   $−14 + \left(−31\right) = −45$

2.  $−(−8)−(−2)$

   Hint (b):

   Change the subtraction into addition to eliminate excess negatives and then try solving using the same system used in part (a).

3.  $\frac { - 16 } { - 8 }$

   Hint (c):

   When dividing or multiplying with negatives, proceed normally and account for negatives afterward.

   More Help (c):

   When dividing or multiplying with negative numbers, if there are an even number of negatives then the answer is positive; if there are an odd number of negatives then the answer too is negative.

4.  $−11·24$

   Hint (d):

   Try ignoring the negative signs to start and multiply as normal. At the end, account for any negative signs.

   Answer (d):

   $−264$

5.  $\frac{1}{2}−\ \frac{3}{4}$

   Hint (e):

   Find a common denominator for the fractions in order to subtract.

6.  $46\div(−23)$

   Hint (f):

   Remember that since you are dividing a positive number by a negative number, your answer will be negative.