Order of Operations Exercises

Evaluate the following expressions

1. $\dfrac{−12}{−4−8}$

2. $−8 \times (-10 +(−7)$

3. $-5 + (\frac{63}{9})$

4. $4 - (3-2)^2$

5. $-8 - 10 \times (-7)$

6. $-4^2 - (-3)^2$

7. $(-5 + 7 \times 1) -9 \times 5$
   

Source: Khan Academy, https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-order-of-operations/e/order_of_operations
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1. $=\dfrac{−12}{−4−8}$

   $=1$

2. $=−8 \times -17$

   $=136$

3. $=−5+(7)$

   $=−5+7$

   $=2$

4. $=4−(1)^2$

   $4−1$

   $=3$

5. $= -8 + 70$

   $= 62$

6. Remember that a negative sign is only part of the base of an exponent if it is inside parentheses with the base.

   $-4^2 - (-3)^2$

   $=−(4 \cdot 4) - (-3 \cdot -3)$

   $= -16 - 9$

   $= - 25$

7. $(-5 + 7) -9 \times 5$

   $=−5 + 7 - 45$

   $2 - 45$

   $=-43$