Order of Operations Exercises
| Site: | Saylor Academy |
| Course: | RWM101: Foundations of Real World Math copy 1 |
| Book: | Order of Operations Exercises |
| Printed by: | Guest user |
| Date: | Wednesday, May 14, 2025, 4:35 AM |
Description
buttons.Practice: Order of operations with negative numbers
One more review for this unit. These seven questions review the order of operations, exponents, and working with negative numbers. There are videos and hints if you need help. Once you have mastered these problems, you can feel confident you know all you need to know in this unit.
Evaluate the following expressions
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\(\dfrac{−12}{−4−8}\)
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\(−8 \times (-10 +(−7)\)
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\(-5 + (\frac{63}{9})\)
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\(4 - (3-2)^2\)
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\(-8 - 10 \times (-7)\)
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\(-4^2 - (-3)^2\)
- \((-5 + 7 \times 1) -9 \times 5\)
Source: Khan Academy, https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-order-of-operations/e/order_of_operations
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.
Answers
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\(=\dfrac{−12}{−4−8}\)
\(=1\)
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\(=−8 \times -17\)
\(=136\)
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\(=−5+(7)\)
\(=−5+7\)
\(=2\)
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\(=4−(1)^2\)
\(4−1\)
\(=3\)
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\(= -8 + 70\)
\(= 62\)
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Remember that a negative sign is only part of the base of an exponent if it is inside parentheses with the base.
\(-4^2 - (-3)^2\)
\(=−(4 \cdot 4) - (-3 \cdot -3)\)
\(= -16 - 9\)
\(= - 25\)
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\((-5 + 7) -9 \times 5\)
\(=−5 + 7 - 45\)
\(2 - 45\)
\(=-43\)