755 prompts matching "The point of contact when a line touches a curve"
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Quiz: Subtracting one surd from another
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Spot My Mistake: Dividing one surd by another
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Learn: Why a surd is never left in the denominator
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Spot My Mistake: Rationalising and then cancelling a common factor
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Worked Example: Why multiplying by the conjugate clears the surd
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Worked Example: Reading the symbol used for a binary operation
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Final Revision: Deciding whether a given rule really is a binary operation
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Worked Example: Testing the even numbers for closure under addition
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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 one operation to distribute over another
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Worked Example: Testing whether star distributes over plus
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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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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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