687 prompts matching "Practice: Differentiating sin x and cos x"
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Quiz: Testing the odd numbers for closure under addition
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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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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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Learn: What it means for one operation to distribute over another
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Spot My Mistake: Checking distributivity from two operation tables
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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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Learn: What an identity element is
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Quiz: Finding the identity element from an operation table
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Spot My Mistake: Finding the inverse of a given element
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Show All Working: An element with no inverse under a given operation
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Common Mistakes: Checking an inverse by working the operation both ways
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Quiz: The law for dividing powers of the same base
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