743 prompts matching "Structured question: perpendicular bisector of a line segment"
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Learn: What a binary operation actually is
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Worked Example: Reading the symbol used for a binary operation
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Common Mistakes: A binary operation that is ordinary addition in disguise
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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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Worked Example: Testing the even numbers for closure under addition
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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
You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation
Worked Example: Testing a*b against b*a for a given rule
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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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Worked Example: Testing whether star distributes over plus
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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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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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Learn: Reading index notation, the base and the exponent
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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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