755 prompts matching "Practice: The value of alpha to the fourth plus beta to the fourth"
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Final Revision: Deciding whether a given rule really is a binary operation
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Practice: Testing a set for closure under multiplication
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Spot My Mistake: Reading closure off an operation table
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Common Mistakes: Closure on a set of three elements under a stated rule
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Final Revision: Why closure is checked before any other property
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Learn: What it means for an operation to be commutative
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Quiz: Reading commutativity off a symmetrical operation table
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Practice: An operation that is not commutative, with a counter-example
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Final Revision: Why distributivity links two operations rather than one
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Practice: Why an identity element must work from both sides
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Common Mistakes: Checking an inverse by working the operation both ways
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Learn: Reading index notation, the base and the exponent
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Final Revision: Evaluating a numerical expression using the index laws
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Final Revision: Converting an answer back out of index form
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Show All Working: A word problem that leads to an indicial equation
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Final Revision: Proving a logarithmic identity from the laws
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Common Mistakes: The Fibonacci sequence and the rule behind it
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