755 prompts matching "Practice: Finding a remainder without carrying out the division"
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Quiz: Writing a recurring decimal as a fraction to show it is rational
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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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Final Revision: Approximating a surd to three decimal places
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Learn: What makes two surds similar
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Worked Example: What makes two surds equal
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Final Revision: Surds that cannot be combined at all
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Learn: Simplifying root 72 into its simplest form
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Show All Working: Simplifying a surd expression that contains brackets
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Worked Example: Rationalising a denominator that is a single surd
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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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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Quiz: Checking a surd equation for extraneous roots
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Spot My Mistake: Solving a surd equation that leads to a quadratic
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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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