755 prompts matching "Writing the answers as ordered pairs"
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Worked Example: Testing the even numbers for closure under addition
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Explain Back: Testing the integers for closure under division
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Final Revision: Why closure is checked before any other property
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Explain Back: What it means for an operation to be associative
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Final Revision: Why brackets matter when an operation is not associative
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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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Practice: The law for a power raised to another power
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Explain Back: The law for a product raised to a power
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Final Revision: Evaluating a numerical expression using the index laws
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Learn: Why any non-zero number to the power nought is one
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Practice: A fractional index with numerator one, read as a root
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Practice: Solving 2 to the power x equals 32
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Explain Back: An indicial equation with the unknown in the exponent on both sides
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Practice: Evaluating log to base 2 of 8
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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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