755 prompts matching "Teach me complex numbers from scratch"
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Worked Example: Reading the symbol used for a binary operation
Act as my SS1 Further Mathematics tutor. Take me through one full worked example on readin
Explain Back: A binary operation defined on the integers
I have just studied a binary operation defined on the integers in my SS1 Further Mathemati
Show All Working: Evaluating a repeated operation such as a*(b*c)
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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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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
Spot My Mistake: Reading closure off an operation table
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Show All Working: Showing a set is not closed by a single counter-example
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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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Spot My Mistake: Testing (a*b)*c against a*(b*c)
Act as my SS1 Further Mathematics tutor. Work a question on testing (a*b)*c against a*(b*c
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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Show All Working: Using distributivity to simplify an expression
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Final Revision: Why distributivity links two operations rather than one
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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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