755 prompts matching "IGCSE Additional Maths Y11: A vector proof set in the Cambridge 'show that' styl"
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Show All Working: Evaluating a repeated operation such as a*(b*c)
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Worked Example: Testing the even numbers for closure under addition
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WAEC Prep: A set closed under one operation but not another
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Common Mistakes: Closure on a set of three elements under a stated rule
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Worked Example: Testing a*b against b*a for a given rule
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Show All Working: An operation that is associative but not commutative
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Worked Example: Testing whether star distributes over plus
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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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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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WAEC Prep: The inverse of the identity element itself
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Show All Working: An element with no inverse under a given operation
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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WAEC Prep: Applying two index laws inside one expression
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Show All Working: Simplifying an expression with letters and indices
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Common Mistakes: Why the index laws need the bases to match
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Worked Example: Rewriting a negative index as a fraction
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WAEC Prep: Evaluating 8 to the power two-thirds
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