755 prompts matching "Learn: The algebraic sum of moments when the senses differ"
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Show All Working: A conjugate where the surd term comes first
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Learn: What a binary operation actually is
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Final Revision: Deciding whether a given rule really is a binary operation
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Learn: What closure means for a binary operation
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Quiz: Testing the odd numbers for closure under addition
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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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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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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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