755 prompts matching "Practice: Finding a remainder without carrying out the division"
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Common Mistakes: Rationalising a denominator of the form root a over root b
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Final Revision: Expressing a rationalised answer in the form a root b over c
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Learn: The conjugate of a compound surd expression
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Worked Example: Why multiplying by the conjugate clears the surd
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Quiz: Rationalising a denominator of the form one over 2 plus root 3
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Spot My Mistake: Simplifying the denominator once the conjugate has been used
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Show All Working: A conjugate where the surd term comes first
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Common Mistakes: Rationalising when both terms of the denominator are surds
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Worked Example: Reading the symbol used for a binary operation
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Final Revision: Deciding whether a given rule really is a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Quiz: Testing the odd numbers for closure under addition
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Final Revision: Why closure is checked before any other property
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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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Worked Example: Testing whether star distributes over plus
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Final Revision: Why distributivity links two operations rather than one
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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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Learn: Reading index notation, the base and the exponent
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