755 prompts matching "An answer left in surd form after completing the square"
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Explain Back: Testing the integers for closure under division
I have just studied testing the integers for closure under division in my SS1 Further Math
Learn: What it means for an operation to be commutative
You are my personal SS1 Further Mathematics tutor. Teach me what it means for an operation
Worked Example: Testing a*b against b*a for a given rule
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Practice: An operation that is not commutative, with a counter-example
Act as my SS1 Further Mathematics tutor. Give me five practice questions on an operation t
Common Mistakes: Subtraction as an example of neither law
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Learn: What it means for one operation to distribute over another
You are my personal SS1 Further Mathematics tutor. Teach me what it means for one operatio
Worked Example: Testing whether star distributes over plus
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Practice: Multiplication distributing over addition in ordinary arithmetic
Act as my SS1 Further Mathematics tutor. Give me five practice questions on multiplication
Explain Back: Showing distributivity fails by a counter-example
I have just studied showing distributivity fails by a counter-example in my SS1 Further Ma
Learn: What an identity element is
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Practice: Why an identity element must work from both sides
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Worked Example: The law for multiplying powers of the same base
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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
I have just studied the law for a product raised to a power in my SS1 Further Mathematics
Common Mistakes: Why the index laws need the bases to match
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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
You are my personal SS1 Further Mathematics tutor. Teach me why any non-zero number to the
Worked Example: Rewriting a negative index as a fraction
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Practice: A fractional index with numerator one, read as a root
Act as my SS1 Further Mathematics tutor. Give me five practice questions on a fractional i