755 prompts matching "Why the probabilities in a distribution must sum to one"
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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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Quiz: Reading commutativity off a symmetrical operation table
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Common Mistakes: Subtraction as an example of neither law
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Practice: Multiplication distributing over addition in ordinary arithmetic
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Explain Back: Showing distributivity fails by a counter-example
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Spot My Mistake: Checking distributivity from two operation tables
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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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Quiz: A negative index on a fraction, and turning it upside down
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Spot My Mistake: A negative fractional index
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Common Mistakes: Writing a root as a fractional index before simplifying
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Final Revision: Converting an answer back out of index form
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Quiz: An indicial equation that becomes a quadratic in a power
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Spot My Mistake: An indicial equation involving fractional bases
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Common Mistakes: An indicial equation solved by substitution
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Final Revision: Checking an indicial solution by substitution
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Worked Example: Writing an index statement as a logarithm
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Quiz: Writing a logarithm as an index statement
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