755 prompts matching "Testing whether a binary operation is closed on a given set"
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Show All Working: Finding a and b when a plus b root 2 equals a given surd
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on finding a and b
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
Explain Back: What an inverse element is
I have just studied what an inverse element is in my SS1 Further Mathematics class. Let me
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
Spot My Mistake: The law for a quotient raised to a power
Act as my SS1 Further Mathematics tutor. Work a question on the law for a quotient raised
Show All Working: Comparing logarithms given in different bases
Act as my Further Mathematics examiner. I am in SS 1. Set me a question on comparing logar
Explain Back: Finding the first term from two given terms
I have just studied finding the first term from two given terms in my SS1 Further Mathemat
Fractional indices as roots
I am in SS 1. Teach me fractional indices, converting between root form and index form, su
Fractional indices with numerator above 1
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Simplifying a mixed index expression
I am in SS 1. Quiz me with 3 short Additional Maths questions on simplifying an expression
Solving index equations with matching bases
I am in SS 1. I'm going to explain solving an index equation by rewriting both sides with
Index equations with a fractional right-hand side
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on solv
Standard form calculations using indices
I am in SS 1. Teach me converting numbers to and from standard form and using the laws of
Simplifying a fraction of two bracketed index terms
I am in SS 1. I'm going to explain simplifying a fraction of index expressions down to a s
Finding an unknown exponent in an equation
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on find
Multiplying and dividing indices in one expression
I am in SS 1. Teach me simplifying (a^5 x a^-2) divided by a^3 fully, quoting which law is
Evaluating a fractional-negative index expression
I am in SS 1. Teach me evaluating 25^(-3/2) fully as a fraction without a calculator the w
Rewriting an expression with only positive indices
I am in SS 1. Teach me rewriting an expression such as 3x^-2 y^3 z^-1 so every index in it
Combining several index laws in one simplification
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Index equation with equal exponents, unknown base
I am in SS 1. Teach me solving an equation of the form x^3 = 125 for an unknown base x the