755 prompts matching "IGCSE Additional Maths Y11: Differentiating x cubed from first principles — Work"
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
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Spot My Mistake: Reading closure off an operation table
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WAEC Prep: A set closed under one operation but not another
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Show All Working: Showing a set is not closed by a single counter-example
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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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Worked Example: Testing a*b against b*a for a given rule
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Explain Back: What it means for an operation to be associative
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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WAEC Prep: An operation that is commutative but not associative
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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Worked Example: Testing whether star distributes over plus
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Explain Back: Showing distributivity fails by a counter-example
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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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Final Revision: Why distributivity links two operations rather than one
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