755 prompts matching "Practice: Arrangements when some of the objects are identical"
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Final Revision: Deciding whether a given rule really is a binary operation
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Quiz: Testing the odd numbers for closure under addition
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Practice: Testing a set for closure under multiplication
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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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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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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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Quiz: Finding the identity element from an operation table
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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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Final Revision: Identity and inverse together, and what they give the set
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Spot My Mistake: The law for a quotient raised to a power
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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Practice: A fractional index with numerator one, read as a root
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Show All Working: Simplifying an expression that mixes the index types
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Final Revision: Converting an answer back out of index form
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Show All Working: The common logarithm, to base ten
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