755 prompts matching "Testing whether a binary operation is closed on a given set"
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Practice: Rationalising a denominator of the form a plus root b over c minus root d
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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Common Mistakes: A surd equation that has no real solution
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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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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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Quiz: Reading commutativity off a symmetrical operation table
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Common Mistakes: Subtraction as an example of neither law
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Practice: Multiplication distributing over addition in ordinary arithmetic
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WAEC Prep: A rule where distributivity holds one way only
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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Quiz: Finding the identity element from an operation table
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Common Mistakes: Why the index laws need the bases to match
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