718 prompts matching "Showing that AB and BA are usually different for 2 by 2 matrices"
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Learn: Telling a rational number from an irrational one
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Show All Working: Classifying a mixed list of numbers as rational or irrational
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Learn: What makes two surds similar
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Learn: Simplifying root 72 into its simplest form
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Learn: Why a surd is never left in the denominator
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Show All Working: Checking a rationalised answer by decimal approximation
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Learn: The conjugate of a compound surd expression
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Show All Working: A conjugate where the surd term comes first
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Learn: What a binary operation actually is
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Learn: What closure means for a binary operation
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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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Common Mistakes: Subtraction as an example of neither law
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Learn: What it means for one operation to distribute over another
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Show All Working: Using distributivity to simplify an expression
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Common Mistakes: Distributivity on a set of three elements
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