755 prompts matching "IGCSE Additional Maths Y11: What to do when a question cannot be started — Commo"
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Common Mistakes: A surd equation that has no real solution
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Worked Example: Reading the symbol used for a binary operation
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Practice: A binary operation set out as a table
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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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Worked Example: Testing the even 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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Worked Example: Testing a*b against b*a for a given rule
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Practice: An operation that is not commutative, with a counter-example
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Common Mistakes: Subtraction as an example of neither law
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Worked Example: Testing whether star distributes over plus
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Practice: Multiplication distributing over addition in ordinary arithmetic
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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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Practice: Why an identity element must work from both sides
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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