707 prompts matching "sum to infinity of a geometric series"
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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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Spot My Mistake: Finding the inverse of a given element
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Final Revision: Identity and inverse together, and what they give the set
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Worked Example: The law for multiplying powers of the same base
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Quiz: The law for dividing powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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Final Revision: Converting an answer back out of index form
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Learn: Solving an equation by writing both sides to the same base
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Show All Working: A word problem that leads to an indicial equation
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Learn: The definition of a logarithm as the index
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Explain Back: The logarithm of one, in any base
I have just studied the logarithm of one, in any base in my SS1 Further Mathematics class.
Spot My Mistake: The logarithm of the base itself
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Show All Working: The common logarithm, to base ten
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Final Revision: The characteristic and the mantissa of a logarithm
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Learn: The law for the logarithm of a product
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Worked Example: The law for the logarithm of a quotient
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