755 prompts matching "Counting the handshakes, or the lines joining n points"
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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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Learn: What closure means for a binary operation
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Practice: Testing a set for closure under multiplication
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Learn: What it means for an operation to be commutative
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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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Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Final Revision: Why distributivity links two operations rather than one
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Quiz: Finding the identity element from an operation table
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Practice: Why an identity element must work from both sides
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Spot My Mistake: Finding the inverse of a given element
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Final Revision: Identity and inverse together, and what they give the set
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Learn: Reading index notation, the base and the exponent
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Common Mistakes: Why the index laws need the bases to match
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Final Revision: Evaluating a numerical expression using the index laws
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Learn: Why any non-zero number to the power nought is one
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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
I have just studied a fractional index with a numerator above one in my SS1 Further Mathem
Common Mistakes: Writing a root as a fractional index before simplifying
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