706 prompts matching "A tautology used to justify a rule of algebra"
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Final Revision: Deciding whether a given rule really is a binary operation
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Worked Example: Testing a*b against b*a for a given rule
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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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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Final Revision: Converting an answer back out of index form
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Final Revision: The characteristic and the mantissa of a logarithm
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Worked Example: The law for the logarithm of a quotient
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Worked Example: Writing out the terms of a sequence from its nth term
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Common Mistakes: The Fibonacci sequence and the rule behind it
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Worked Example: Finding the common difference of an arithmetic progression
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Worked Example: Finding the common ratio of a geometric progression
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Final Revision: A word problem that leads to a linear inequality
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Worked Example: The critical values of a quadratic inequality
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Final Revision: A word problem that leads to a quadratic inequality
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Worked Example: Solving the equation modulus of x equals a
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Multiplication law of indices
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Division law of indices
I am in SS 1. Teach me the division law of indices, simplifying an expression like y^9 div
Zero index rule
I am in SS 1. I'm going to explain the zero index rule, showing why any nonzero number rai
Negative indices in algebraic fractions
I am in SS 1. I attempted an Additional Maths question on simplifying an algebraic express