496 prompts matching "Order of matrices before multiplying"
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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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Quiz: Testing the odd numbers for closure under addition
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Show All Working: Showing a set is not closed by a single counter-example
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Show All Working: An operation that is associative but not commutative
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Final Revision: Why brackets matter when an operation is not associative
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Quiz: Left distributivity and right distributivity
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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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Quiz: Finding the identity element from an operation table
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Show All Working: An element with no inverse under a given operation
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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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Show All Working: Simplifying an expression with letters and indices
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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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Quiz: A negative index on a fraction, and turning it upside down
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Show All Working: Simplifying an expression that mixes the index types
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Quiz: An indicial equation that becomes a quadratic in a power
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Show All Working: A word problem that leads to an indicial equation
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