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3 cards from this section. Quick, good the night before a test.
Is addition of whole numbers commutative? Give an example.
Think about the order of adding numbers.
Provide an example of commutative multiplication.
Try multiplying two numbers in different orders.
Is addition commutative?
Think back to the definitions.
Which of the following operations is NOT commutative?
Try to recall what happens when you swap the numbers.
Prove that for three rational numbers a, b, and c, the following holds true: a + (b + c) = (a + b) + c.
Substitute a few rational numbers and simplify both sides.
Calculate and compare the results of 15 - 5 and 5 - 15, to demonstrate the non-commutative nature of subtraction.
Work through each calculation to highlight the differences.
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