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

   \(=−5 + 7 - 45\)

   \(2 - 45\)

   \(=-43\)