646 prompts matching "One-to-one versus many-to-one functions"
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing a*b against b*a for a given rule
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Quiz: Reading commutativity off a symmetrical operation table
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Final Revision: Why brackets matter when an operation is not associative
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Worked Example: Testing whether star distributes over plus
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Quiz: Left distributivity and right distributivity
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Explain Back: Showing distributivity fails by a counter-example
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Spot My Mistake: Checking distributivity from two operation tables
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Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Quiz: Finding the identity element from an operation table
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Explain Back: What an inverse element is
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Spot My Mistake: Finding the inverse of a given element
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Final Revision: Evaluating a numerical expression using the index laws
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Worked Example: Rewriting a negative index as a fraction
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Quiz: A negative index on a fraction, and turning it upside down
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Spot My Mistake: A negative fractional index
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