755 prompts matching "The powers of i, and the cycle they follow"
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Common sign errors in algebraic manipulation
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Common Mistakes: Why a rational number added to an irrational one stays irrational
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Final Revision: Approximating a surd to three decimal places
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Final Revision: Surds that cannot be combined at all
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Show All Working: Simplifying a surd expression that contains brackets
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Show All Working: Checking a rationalised answer by decimal approximation
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Final Revision: Checking a conjugate answer by multiplying back
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Common Mistakes: A surd equation that has no real solution
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Final Revision: A word problem that leads to an equation in surd form
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Common Mistakes: A binary operation that is ordinary addition in disguise
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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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Show All Working: Using distributivity to simplify an expression
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Show All Working: An element with no inverse under a given operation
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Common Mistakes: Writing a root as a fractional index before simplifying
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Show All Working: A word problem that leads to an indicial equation
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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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