755 prompts matching "Checking a symmetric-function answer by solving the equation outright"
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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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Learn: What it means for an operation to be commutative
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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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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
Final Revision: Why brackets matter when an operation is not associative
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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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Learn: What an identity element is
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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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Worked Example: Rewriting a negative index as a fraction
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Practice: A fractional index with numerator one, read as a root
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Explain Back: A fractional index with a numerator above one
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Writing an index statement as a logarithm
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Practice: Evaluating log to base 2 of 8
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Common Mistakes: Reading a logarithm from a table
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Practice: Combining two logarithms into one
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