755 prompts matching "Teach me the stating the factor theorem"
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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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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
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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Explain Back: What it means for an operation to be associative
I have just studied what it means for an operation to be associative in my SS1 Further Mat
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
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
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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Practice: Why an identity element must work from both sides
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Explain Back: What an inverse element is
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Show All Working: An element with no inverse under a given operation
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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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Practice: The law for a power raised to another power
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Explain Back: The law for a product raised to a power
I have just studied the law for a product raised to a power in my SS1 Further Mathematics