755 prompts matching "The product rule applied to three factors"
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Practice: An operation that is not commutative, with a counter-example
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Spot My Mistake: Testing (a*b)*c against a*(b*c)
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Quiz: Left distributivity and right distributivity
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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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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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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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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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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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Common Mistakes: Reading a logarithm from a table
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Common Mistakes: Rejecting a root that makes a logarithm undefined
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