688 prompts matching "Treating any vector with small components as a unit vector"
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Common Mistakes: Expressing root 50 as a multiple of root 2
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Common Mistakes: A surd equation that has no real solution
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Explain Back: What it means for an operation to be associative
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Show All Working: An operation that is associative but not commutative
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Common Mistakes: Subtraction as an example of neither law
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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Common Mistakes: Writing a root as a fractional index before simplifying
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Worked Example: Writing an index statement as a logarithm
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Show All Working: The common logarithm, to base ten
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Worked Example: Converting a logarithm to base ten so that tables can be used
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Explain Back: A logarithmic equation written in two different bases
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Show All Working: Comparing logarithms given in different bases
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Worked Example: The alternative sum formula that uses the last term
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Show All Working: Writing the solution of an inequality as a set
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Common Mistakes: A double inequality such as 2 less than x less than 7
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Common Mistakes: A quadratic inequality that has to be rearranged first
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