Rialtas MARK MASTER Std Colour

Rules and Properties of Arithmetic Operations

This video from Krista King describes the associative property of addition and multiplication, and gives a worked example of the property in action.

Note: All Krista King content is available for free at www.youtube.com/c/Integralcalc.

Krista King’s Website: www.kristakingmath.com .

This video from Krista King describes the commutative property of addition and multiplication and gives some examples of using commutativity to compute a result in two different ways.

Note: All Krista King content is available for free at www.youtube.com/c/Integralcalc.

Krista King’s Website: www.kristakingmath.com .

This video from Khan Academy shows how the distributive law of multiplication over addition works, and how the same result can be achieved in two different ways. It also gives a pictorial interpretation of the law for the given example.

Note: All Khan Academy content is available for free at www.khanacademy.org.

Notes

The Order of Operations

Video

This video from patrickJMT shows the order in which the standard arithmetic operations are to be performed, given an expression, and gives an example of a common mistake made by not considering brackets.

Please note: The term “PEMDAS” used in the video is also known as BEMDAS, BIMDAS, BODMAS, or BOMDAS, among other similar names. These are all just different names for the same concept.

Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

This second video from patrickJMT gives more examples of computing answers using the order of operations, including a more ambiguous example.

Please note: The term “PEMDAS” used in the video is also known as BEMDAS, BIMDAS, BODMAS, or BOMDAS, among other similar names. These are all just different names for the same concept.

Note: All patrickJMT content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

Notes

Pages 2-3 of these notes from MathCentre show how to evaluate expressions using the rules of the order of operations. You can also find exercises near the end of page 3, with answers to these at the end of the document so you can check your work.

Please note: The term “BODMAS” used in these notes is also known as BEMDAS, BIMDAS, BOMDAS, or PEMDAS, among other similar names. These are all just different names for the same concept.

A pdf of this document can be downloaded here.

Interactive Exercises

Please try this NUMBAS exercise to test what you’ve learned about the order of operations. You can interpret the term “ordinals” to mean “powers”, “indices”, or “exponents”.

Please note: The term “BODMAS” used in this exercise is also known as BEMDAS, BIMDAS, BOMDAS, or PEMDAS among other similar names. These are all just different names for the same concept.

Please click here to view this NUMBAS question in another window.

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The preparation of this resources section has been funded by the National Forum for the Enhancement of Teaching and Learning in Higher Education, Ireland.